A long-range radar antenna, known as ALTAIR, used to detect and track space objects in conjunction with ABM testing at the Ronald Reagan Test Site on Kwajalein Atoll.

Israeli military radar is typical of the type of radar used for air traffic control. The antenna rotates at a steady rate, sweeping the local airspace with a narrow vertical fan-shaped beam, to detect aircraft at all altitudes.

Radar is an object-detection system which uses radio waves to determine the range, altitude, direction, or speed of objects. It can be used to detect aircraft, ships, spacecraft, guided missiles, motor vehicles, weather formations, and terrain. The radar dish or antenna transmits pulses of radio waves or microwaves which bounce off any object in their path. The object returns a tiny part of the wave's energy to a dish or antenna which is usually located at the same site as the transmitter.

Radar was secretly developed by several nations before and during World War II. The term RADAR was coined in 1941 by the United States Navy as an acronym for RAdio Detection And Ranging.^[1][2] The term radar has since entered English and other languages as the common noun radar, losing all capitalization.

The modern uses of radar are highly diverse, including air traffic control, radar astronomy, air-defense systems, antimissile systems; marine radars to locate landmarks and other ships; aircraft anticollision systems; ocean surveillance systems, outer space surveillance and rendezvous systems; meteorological precipitation monitoring; altimetry and flight control systems; guided missile target locating systems; and ground-penetrating radar for geological observations. High tech radar systems are associated with digital signal processing and are capable of extracting objects from very high noise levels.

Other systems similar to radar have been used in other parts of the electromagnetic spectrum. One example is "lidar", which uses visible light from lasers rather than radio waves.

History[link]

As early as 1886, Heinrich Hertz showed that radio waves could be reflected from solid objects. In 1895 Alexander Popov, a physics instructor at the Imperial Russian Navy school in Kronstadt, developed an apparatus using a coherer tube for detecting distant lightning strikes. The next year, he added a spark-gap transmitter. In 1897, while testing this in communicating between two ships in the Baltic Sea, he took note of an interference beat caused by the passage of a third vessel. In his report, Popov wrote that this phenomenon might be used for detecting objects, but he did nothing more with this observation.^[3]

The German Christian Huelsmeyer was the first to use radio waves to detect "the presence of distant metallic objects". In 1904 he demonstrated the feasibility of detecting a ship in dense fog but not its distance.^[4] He obtained a patent^[5] for his detection device in April 1904 and later a patent^[6] for a related amendment for determining the distance to the ship. He also got a British patent on September 23, 1904^[7] for the first full radar application, which he called telemobiloscope.

A Chain Home tower in Great Baddow, United Kingdom

In August 1917 Nikola Tesla outlined a concept for primitive radar units.^[8] He stated,

"...by their [standing electromagnetic waves] use we may produce at will, from a sending station, an electrical effect in any particular region of the globe; [with which] we may determine the relative position or course of a moving object, such as a vessel at sea, the distance traversed by the same, or its speed."

In 1922 A. Hoyt Taylor and Leo C. Young, researchers working with the U.S. Navy, discovered that when radio waves were broadcast at 60 MHz it was possible to determine the range and bearing of nearby ships in the Potomac River. Despite Taylor's suggestion that this method could be used in low visibility, the Navy did not immediately continue the work.^[9] Serious investigation began eight years later after the discovery that radar could be used to track airplanes.^[10]

Before the Second World War, researchers in France, Germany, Italy, Japan, the Netherlands, the Soviet Union, the United Kingdom, and the United States, independently and in great secrecy, developed technologies that led to the modern version of radar. Australia, Canada, New Zealand, and South Africa followed prewar Great Britain, and Hungary had similar developments during the war.^[11]

In 1934 the Frenchman Émile Girardeau stated he was building an obstacle-locating radio apparatus "conceived according to the principles stated by Tesla" and obtained a patent for a working system,^[12][13][14] a part of which was installed on the Normandie liner in 1935.^[15]

During the same year, the Soviet military engineer P.K.Oschepkov, in collaboration with Leningrad Electrophysical Institute, produced an experimental apparatus, RAPID, capable of detecting an aircraft within 3 km of a receiver.^[16] The French and Soviet systems, however, had continuous-wave operation and could not give the full performance that was ultimately at the center of modern radar.

Full radar evolved as a pulsed system, and the first such elementary apparatus was demonstrated in December 1934 by American Robert M. Page, working at the Naval Research Laboratory.^[17] The following year, the United States Army successfully tested a primitive surface to surface radar to aim coastal battery search lights at night.^[18] This was followed by a pulsed system demonstrated in May 1935 by Rudolf Kühnhold and the firm GEMA in Germany and then one in June 1935 by an Air Ministry team led by Robert A. Watson Watt in Great Britain. Later, in 1943, Page greatly improved radar with the monopulse technique that was used for many years in most radar applications.^[19]

The British were the first to fully exploit radar as a defence against aircraft attack. This was spurred on by fears that the Germans were developing death rays.^[20] The Air Ministry asked British scientists in 1934 to investigate the possibility of propagating electromagnetic energy and the likely effect. Following a study, they concluded that a death ray was impractical but that detection of aircraft appeared feasible.^[20] Robert Watson Watt's team demonstrated to his superiors the capabilities of a working prototype and then patented the device.^[14][21][22] It served as the basis for the Chain Home network of radars to defend Great Britain. In April 1940, Popular Science showed an example of a radar unit using the Watson-Watt patent in an article on air defence, but not knowing that the U.S. Army and U.S. Navy were working on radars with the same principle, stated under the illustration, "This is not U.S. Army equipment."^[23] Also, in late 1941 Popular Mechanics had an article in which a U.S. scientist conjectured what he believed the British early warning system on the English east coast most likely looked like and was very close to what it actually was and how it worked in principle.^[24]

The war precipitated research to find better resolution, more portability, and more features for radar, including complementary navigation systems like Oboe used by the RAF's Pathfinder.

Applications[link]

Commercial marine radar antenna. The rotating antenna radiates a vertical fan-shaped beam.

The information provided by radar includes the bearing and range (and therefore position) of the object from the radar scanner. It is thus used in many different fields where the need for such positioning is crucial. The first use of radar was for military purposes: to locate air, ground and sea targets. This evolved in the civilian field into applications for aircraft, ships, and roads.

In aviation, aircraft are equipped with radar devices that warn of obstacles in or approaching their path and give accurate altitude readings. The first commercial device fitted to aircraft was a 1938 Bell Lab unit on some United Air Lines aircraft.^[24] They can land in fog at airports equipped with radar-assisted ground-controlled approach systems, in which the plane's flight is observed on radar screens while operators radio landing directions to the pilot.

Marine radars are used to measure the bearing and distance of ships to prevent collision with other ships, to navigate and to fix their position at sea when within range of shore or other fixed references such as islands, buoys, and lightships. In port or in harbour, vessel traffic service radar systems are used to monitor and regulate ship movements in busy waters. Police forces use radar guns to monitor vehicle speeds on the roads.

Meteorologists use radar to monitor precipitation. It has become the primary tool for short-term weather forecasting and to watch for severe weather such as thunderstorms, tornadoes, winter storms, precipitation types, etc. Geologists use specialised ground-penetrating radars to map the composition of the Earth's crust.

Principles[link]

A radar system has a transmitter that emits radio waves called radar signals in predetermined directions. When these come into contact with an object they are usually reflected or scattered in many directions. Radar signals are reflected especially well by materials of considerable electrical conductivity—especially by most metals, by seawater, by wet land, and by wetlands. Some of these make the use of radar altimeters possible. The radar signals that are reflected back towards the transmitter are the desirable ones that make radar work. If the object is moving either closer or farther away, there is a slight change in the frequency of the radio waves, caused by the Doppler effect.

Radar receivers are usually, but not always, in the same location as the transmitter. Although the reflected radar signals captured by the receiving antenna are usually very weak, these signals can be strengthened by electronic amplifiers. More sophisticated methods of signal processing are also used in order to recover useful radar signals.

The weak absorption of radio waves by the medium through which it passes is what enables radar sets to detect objects at relatively long ranges—ranges at which other electromagnetic wavelengths, such as visible light, infrared light, and ultraviolet light, are too strongly attenuated. Such things as fog, clouds, rain, falling snow, and sleet that block visible light are usually transparent to radio waves. Certain radio frequencies that are absorbed or scattered by water vapor, raindrops, or atmospheric gases (especially oxygen) are avoided in designing radars except when detection of these is intended.

Radar relies on its own transmissions rather than light from the Sun or the Moon, or from electromagnetic waves emitted by the objects themselves, such as infrared wavelengths (heat). This process of directing artificial radio waves towards objects is called illumination, although radio waves are invisible to the human eye or cameras.

Reflection[link]

Brightness can indicate reflectivity as in this 1960 weather radar image (of Hurricane Abby). The radar's frequency, pulse form, polarization, signal processing, and antenna determine what it can observe.

Electromagnetic waves reflect (scatter) from any large change in the dielectric constant or diamagnetic constants. This means that a solid object in air or a vacuum, or other significant change in atomic density between the object and what is surrounding it, will usually scatter radar (radio) waves. This is particularly true for electrically conductive materials, such as metal and carbon fiber, making radar well suited to the detection of aircraft and ships. Radar absorbing material, containing resistive and sometimes magnetic substances, is used on military vehicles to reduce radar reflection. This is the radio equivalent of painting something a dark color so that it cannot be seen through normal means.

Radar waves scatter in a variety of ways depending on the size (wavelength) of the radio wave and the shape of the target. If the wavelength is much shorter than the target's size, the wave will bounce off in a way similar to the way light is reflected by a mirror. If the wavelength is much longer than the size of the target, the target may not be visible because of poor reflection. Low Frequency radar technology is dependent on resonances for detection, but not identification, of targets. This is described by Rayleigh scattering, an effect that creates the Earth's blue sky and red sunsets. When the two length scales are comparable, there may be resonances. Early radars used very long wavelengths that were larger than the targets and received a vague signal, whereas some modern systems use shorter wavelengths (a few centimeters or shorter) that can image objects as small as a loaf of bread.

Short radio waves reflect from curves and corners, in a way similar to glint from a rounded piece of glass. The most reflective targets for short wavelengths have 90° angles between the reflective surfaces. A structure consisting of three flat surfaces meeting at a single corner, like the corner on a box, will reflect waves entering its opening directly back at the source. These so-called corner reflectors are commonly used as radar reflectors to make otherwise difficult-to-detect objects easier to detect and are often found on boats in order to improve their detection in a rescue situation and to reduce collisions. For similar reasons, objects attempting to avoid detection will angle their surfaces in a way to eliminate inside corners and avoid surfaces and edges perpendicular to likely detection directions, which leads to "odd" looking stealth aircraft. These precautions do not completely eliminate reflection because of diffraction, especially at longer wavelengths. Half wavelength long wires or strips of conducting material, such as chaff, are very reflective but do not direct the scattered energy back toward the source. The extent to which an object reflects or scatters radio waves is called its radar cross section.

Radar equation[link]

The power P_r returning to the receiving antenna is given by the equation:

Failed to parse (Missing texvc executable; please see math/README to configure.): P_r = {{P_t G_t A_r \sigma F^4}\over{{(4\pi)}^2 R_t^2R_r^2}}

where

• P_t = transmitter power
• G_t = gain of the transmitting antenna
• A_r = effective aperture (area) of the receiving antenna
• σ = radar cross section, or scattering coefficient, of the target
• F = pattern propagation factor
• R_t = distance from the transmitter to the target
• R_r = distance from the target to the receiver.

In the common case where the transmitter and the receiver are at the same location, R_t = R_r and the term R_t² R_r² can be replaced by R⁴, where R is the range. This yields:

Failed to parse (Missing texvc executable; please see math/README to configure.): P_r = {{P_t G_t A_r \sigma F^4}\over{{(4\pi)}^2 R^4}}.

This shows that the received power declines as the fourth power of the range, which means that the reflected power from distant targets is very small.

The equation above with F = 1 is a simplification for vacuum without interference. The propagation factor accounts for the effects of multipath and shadowing and depends on the details of the environment. In a real-world situation, pathloss effects should also be considered.

Doppler effect[link]

Ground-based radar systems used for detecting speeds rely on the Doppler effect. The apparent frequency (f) of the wave changes with the relative position of the target. The doppler equation is stated as follows for Failed to parse (Missing texvc executable; please see math/README to configure.): v_{obs}

(the radial speed of the observer) and Failed to parse (Missing texvc executable; please see math/README to configure.): v_s
(the radial speed of the target) and Failed to parse (Missing texvc executable; please see math/README to configure.): f_{0}
frequency of wave :

Failed to parse (Missing texvc executable; please see math/README to configure.): f = {{v+v_{obs}}\over{v-v_s}}f_0

However, the change in phase of the return signal is often used instead of the change in frequency. Only the radial component of the speed is available. Hence when a target is moving at right angle to the radar beam, it has no relative velocity, while one parallel to it has maximum recorded speed even if both might have the same real absolute motion.

Polarization[link]

In all electromagnetic radiation, the electric field is perpendicular to the direction of propagation, and this direction of the electric field is the polarization of the wave. In the transmitted radar signal the polarization can be controlled for different effects. Radars use horizontal, vertical, linear and circular polarization to detect different types of reflections. For example, circular polarization is used to minimize the interference caused by rain. Linear polarization returns usually indicate metal surfaces. Random polarization returns usually indicate a fractal surface, such as rocks or soil, and are used by navigation radars.

Limiting factors[link]

Beam path and range[link]

Echo heights above ground

The radar beam would follow a linear path in vacuum, but it really follows a somewhat curved path in the atmosphere because of the variation of the refractive index of air, that is the radar horizon. Even when the beam is emitted parallel to the ground, it will rise above it as the Earth curvature sinks below the horizon. Furthermore, the signal is attenuated by the medium it crosses, and the beam disperses.

The maximum range of a conventional radar can be limited by a number of factors:

• Line of sight, which depends on height above ground.
• The maximum non-ambiguous range which is determined by the pulse repetition frequency. The maximum non-ambiguous range is the distance the pulse could travel and return before the next pulse is emitted.
• Radar sensitivity and power of the return signal as computed in the radar equation. This includes factors such as environmentals and the size (or radar cross section) of the target.

Noise[link]

Signal noise is an internal source of random variations in the signal, which is generated by all electronic components. Noise typically appears as random variations superimposed on the desired echo signal received in the radar receiver. The lower the power of the desired signal, the more difficult it is to discern it from the noise. Noise figure is a measure of the noise produced by a receiver compared to an ideal receiver, and this needs to be minimized.

Noise is also generated by external sources, most importantly the natural thermal radiation of the background scene surrounding the target of interest. In modern radar systems, the internal noise is typically about equal to or lower than the external scene noise. An exception is if the radar is aimed upwards at clear sky, where the scene is so "cold" that it generates very little thermal noise. The thermal noise is given by k_B T B, where T is temperature, B is bandwidth (post matched filter) and k_B is Boltzmann's constant. There is an appealing intuitive interpretation of this relationship in a radar. Matched filtering allows us to compress the entire energy received from a target into a single bin (be it a range, Doppler,elevation, or azimuth bin). On the surface it would appear then that within a fixed interval of time one could obtain perfect, error free, detection. To do this one simply compresses all energy into an infinitesimal time slice. What limits this approach in the real world is that, while time is arbitrarily divisible, current is not. The quanta of electrical energy is an electron, and so the best one can do is match filter all energy into a single electron. Since the electron is moving at a certain temperature (Plank spectrum) this noise source cannot be further eroded. We see then that radar,like indeed all macro-scale entities, is profoundly impacted by quantum theory.

There will be also flicker noise caused by electrons transit, but depending on 1/f, flicker noise will be much lower than thermal noise when the frequency is high. Hence, in pulse radar, the system will be heterodyne. Another reason for heterodyne processing is that for fixed fractional bandwidth, the instantaneous bandwidth increases linearly in frequency. This allows improved range resolution. The one notable exception to heterodyne (downconversion) radar systems is ultra-wideband radar. Here a single cycle, or transient wave, is used similar to UWB communications, see List of UWB channels.

Interference[link]

Radar systems must overcome unwanted signals in order to focus only on the actual targets of interest. These unwanted signals may originate from internal and external sources, both passive and active. The ability of the radar system to overcome these unwanted signals defines its signal-to-noise ratio (SNR). SNR is defined as the ratio of a signal power to the noise power within the desired signal; it compares the level of a desired target signal to the level of background noise (atmospheric noise and noise generated within the receiver). The higher a system's SNR, the better it is in isolating actual targets from the surrounding noise signals.

Clutter[link]

Clutter refers to radio frequency (RF) echoes returned from targets which are uninteresting to the radar operators. Such targets include natural objects such as ground, sea, precipitation (such as rain, snow or hail), sand storms, animals (especially birds), atmospheric turbulence, and other atmospheric effects, such as ionosphere reflections, meteor trails, and three body scatter spike. Clutter may also be returned from man-made objects such as buildings and, intentionally, by radar countermeasures such as chaff.

Some clutter may also be caused by a long radar waveguide between the radar transceiver and the antenna. In a typical plan position indicator (PPI) radar with a rotating antenna, this will usually be seen as a "sun" or "sunburst" in the centre of the display as the receiver responds to echoes from dust particles and misguided RF in the waveguide. Adjusting the timing between when the transmitter sends a pulse and when the receiver stage is enabled will generally reduce the sunburst without affecting the accuracy of the range, since most sunburst is caused by a diffused transmit pulse reflected before it leaves the antenna. Clutter is considered a passive interference source, since it only appears in response to radar signals sent by the radar.

Clutter is detected and neutralized in several ways. Clutter tends to appear static between radar scans; on subsequent scan echoes, desirable targets will appear to move, and all stationary echoes can be eliminated. Sea clutter can be reduced by using horizontal polarization, while rain is reduced with circular polarization (note that meteorological radars wish for the opposite effect, therefore using linear polarization to detect precipitation). Other methods attempt to increase the signal-to-clutter ratio.

The most effective clutter reduction technique is pulse-Doppler radar. Doppler separates clutter from aircraft and spacecraft using a frequency spectrum, so individual signals can be separated from multiple reflectors located in the same volume using velocity differences. This requires a coherent transmitter. Another technique is moving target indicator that subtracts the receive signal from two successive pulses using phase to reduce signals from slow moving objects. This can be adapted for systems that lack a coherent transmitter, such as time-domain pulse-amplitude radar.

Constant False Alarm Rate, a form of Automatic Gain Control (AGC), is a method that relies on clutter returns far outnumbering echoes from targets of interest. The receiver's gain is automatically adjusted to maintain a constant level of overall visible clutter. While this does not help detect targets masked by stronger surrounding clutter, it does help to distinguish strong target sources. In the past, radar AGC was electronically controlled and affected the gain of the entire radar receiver. As radars evolved, AGC became computer-software controlled and affected the gain with greater granularity in specific detection cells.

Radar multipath echoes from a target cause ghosts to appear.

Clutter may also originate from multipath echoes from valid targets caused by ground reflection, atmospheric ducting or ionospheric reflection/refraction (e.g. Anomalous propagation). This clutter type is especially bothersome since it appears to move and behave like other normal (point) targets of interest. In a typical scenario, an aircraft echo is reflected from the ground below, appearing to the receiver as an identical target below the correct one. The radar may try to unify the targets, reporting the target at an incorrect height, or eliminating it on the basis of jitter or a physical impossibility. These problems can be overcome by incorporating a ground map of the radar's surroundings and eliminating all echoes which appear to originate below ground or above a certain height. In newer Air Traffic Control radar equipment, algorithms are used to identify the false targets by comparing the current pulse returns, to those adjacent, as well as calculating return improbabilities.

Jamming[link]

Radar jamming refers to radio frequency signals originating from sources outside the radar, transmitting in the radar's frequency and thereby masking targets of interest. Jamming may be intentional, as with an electronic warfare tactic, or unintentional, as with friendly forces operating equipment that transmits using the same frequency range. Jamming is considered an active interference source, since it is initiated by elements outside the radar and in general unrelated to the radar signals.

Jamming is problematic to radar since the jamming signal only needs to travel one way (from the jammer to the radar receiver) whereas the radar echoes travel two ways (radar-target-radar) and are therefore significantly reduced in power by the time they return to the radar receiver. Jammers therefore can be much less powerful than their jammed radars and still effectively mask targets along the line of sight from the jammer to the radar (mainlobe jamming). Jammers have an added effect of affecting radars along other lines of sight through the radar receiver's sidelobes (sidelobe jamming).

Mainlobe jamming can generally only be reduced by narrowing the mainlobe solid angle and cannot fully be eliminated when directly facing a jammer which uses the same frequency and polarization as the radar. Sidelobe jamming can be overcome by reducing receiving sidelobes in the radar antenna design and by using an omnidirectional antenna to detect and disregard non-mainlobe signals. Other anti-jamming techniques are frequency hopping and polarization.

Radar signal processing[link]

Distance measurement[link]

Transit time[link]

Pulse radar: The round-trip time for the radar pulse to get to the target and return is measured. The distance is proportional to this time.

Continuous wave (CW) radar

One way to measure the distance to an object is to transmit a short pulse of radio signal (electromagnetic radiation) and measure the time it takes for the reflection to return. The distance is one-half the product of the round trip time (because the signal has to travel to the target and then back to the receiver) and the speed of the signal. Since radio waves travel at the speed of light, accurate distance measurement requires high-performance electronics. In most cases, the receiver does not detect the return while the signal is being transmitted. Through the use of a duplexer, the radar switches between transmitting and receiving at a predetermined rate. A similar effect imposes a maximum range as well. In order to maximize range, longer times between pulses should be used, referred to as a pulse repetition time, or its reciprocal, pulse repetition frequency.

These two effects tend to be at odds with each other, and it is not easy to combine both good short range and good long range in a single radar. This is because the short pulses needed for a good minimum range broadcast have less total energy, making the returns much smaller and the target harder to detect. This could be offset by using more pulses, but this would shorten the maximum range. So each radar uses a particular type of signal. Long-range radars tend to use long pulses with long delays between them, and short range radars use smaller pulses with less time between them. As electronics have improved many radars now can change their pulse repetition frequency, thereby changing their range. The newest radars fire two pulses during one cell, one for short range (10 km / 6 miles) and a separate signal for longer ranges (100 km /60 miles).

The distance resolution and the characteristics of the received signal as compared to noise depends on the shape of the pulse. The pulse is often modulated to achieve better performance using a technique known as pulse compression.

Distance may also be measured as a function of time. The radar mile is the amount of time it takes for a radar pulse to travel one nautical mile, reflect off a target, and return to the radar antenna. Since a nautical mile is defined as 1,852 meters, then dividing this distance by the speed of light (299,792,458 meters per second), and then multiplying the result by 2 yields a result of 12.36 microseconds in duration.

Frequency modulation[link]

Another form of distance measuring radar is based on frequency modulation. Frequency comparison between two signals is considerably more accurate, even with older electronics, than timing the signal. By measuring the frequency of the returned signal and comparing that with the original, the difference can be easily measured.

This technique can be used in continuous wave radar and is often found in aircraft radar altimeters. In these systems a "carrier" radar signal is frequency modulated in a predictable way, typically varying up and down with a sine wave or sawtooth pattern at audio frequencies. The signal is then sent out from one antenna and received on another, typically located on the bottom of the aircraft, and the signal can be continuously compared using a simple beat frequency modulator that produces an audio frequency tone from the returned signal and a portion of the transmitted signal.

Since the signal frequency is changing, by the time the signal returns to the aircraft the transmit frequency has changed. The amount of frequency shift is used to measure distance.

The modulation index riding on the receive signal is proportional to the time delay between the radar and the reflector. The amount of that frequency shift becomes greater with greater time delay. The measure of the amount of frequency shift is directly proportional to the distance traveled. That distance can be displayed on an instrument, and it may also be available via the transponder. This signal processing is similar to that used in speed detecting Doppler radar. Example systems using this approach are AZUSA, MISTRAM, and UDOP.

A further advantage is that the radar can operate effectively at relatively low frequencies. This was important in the early development of this type when high frequency signal generation was difficult or expensive.

Terrestrial radar uses low-power FM signals that cover a larger frequency range. The multiple reflections are analyzed mathematically for pattern changes with multiple passes creating a computerized synthetic image. Doppler effects are used which allows slow moving objects to be detected as well as largely eliminating "noise" from the surfaces of bodies of water.

Speed measurement[link]

Speed is the change in distance to an object with respect to time. Thus the existing system for measuring distance, combined with a memory capacity to see where the target last was, is enough to measure speed. At one time the memory consisted of a user making grease pencil marks on the radar screen and then calculating the speed using a slide rule. Modern radar systems perform the equivalent operation faster and more accurately using computers.

If the transmitter's output is coherent (phase synchronized), there is another effect that can be used to make almost instant speed measurements (no memory is required), known as the Doppler effect. Most modern radar systems use this principle into doppler radar and pulse-doppler radar systems (weather radar, military radar, etc...). The Doppler effect is only able to determine the relative speed of the target along the line of sight from the radar to the target. Any component of target velocity perpendicular to the line of sight cannot be determined by using the Doppler effect alone, but it can be determined by tracking the target's azimuth over time.

It is possible to make a doppler radar without any pulsing, known as a continuous-wave radar (CW radar), by sending out a very pure signal of a known frequency. CW radar is ideal for determining the radial component of a target's velocity. CW radar is typically used by traffic enforcement to measure vehicle speed quickly and accurately where range is not important.

When using a pulsed radar, the variation between the phase of successive returns gives the distance the target has moved between pulses, and thus its speed can be calculated. Other mathematical developments in radar signal processing include time-frequency analysis (Weyl Heisenberg or wavelet), as well as the chirplet transform which makes use of the change of frequency of returns from moving targets ("chirp").

Pulse-Doppler signal processing[link]

Pulse-Doppler signal processing includes frequency filtering in the detection process. The space between each transmit pulse is divided into range cells or range gates. Each cell is filtered independently much like the process used by a spectrum analyzer to produce the display showing different frequencies. Each different distance produces a different spectrum. These spectra are used to perform the detection process. This is required to achieve acceptable performance in hostile environments involving weather, terrain, and electronic countermeasures.

The primary purpose is to measure both the amplitude and frequency of the aggregate reflected signal from multiple distances. This is used with weather radar to measure radial wind velocity and precipitation rate in each different volume of air. This is linked with computing systems to produce a real-time electronic weather map. Aircraft safety depends upon continuous access to accurate weather radar information that is used to prevent injuries and accidents. Weather radar uses a low PRF. Coherency requirements are not as strict as those for military systems because individual signals ordinarily do not need to be separated. Less sophisticated filtering is required, and range ambiguity processing is not normally needed with weather radar in comparison with military radar intended to track air vehicles.

The alternate purpose is "look-down/shoot-down" capability required to improve military air combat survivability. Pulse-Doppler is also used for ground based surveillance radar required to defend personnel and vehicles.^[25][26] Pulse-Doppler signal processing increases the maximum detection distance using less radiation in close proximity to aircraft pilots, shipboard personnel, infantry, and artillery. Reflections from terrain, water, and weather produce signals much larger than aircraft and missiles, which allows fast moving vehicles to hide using nap-of-the-earth flying techniques and stealth technology to avoid detection until an attack vehicle is too close to destroy. Pulse-Doppler signal processing incorporates more sophisticated electronic filtering that safely eliminates this kind of weakness. This requires the use of medium pulse-repetition frequency with phase coherent hardware that has a large dynamic range. Military applications require medium PRF which prevents range from being determined directly, and range ambiguity resolution processing is required to identify the true range of all reflected signals. Radial movement is usually linked with Doppler frequency to produce a lock signal that cannot be produced by radar jamming signals. Pulse-Doppler signal processing also produces audible signals that can be used for threat identification.^[25]

Reduction of interference effects[link]

Signal processing is employed in radar systems to reduce the radar interference effects. Signal processing techniques include moving target indication, Pulse-Doppler signal processing, moving target detection processors, correlation with secondary surveillance radar targets, space-time adaptive processing, and track-before-detect. Constant false alarm rate and digital terrain model processing are also used in clutter environments.

Plot and track extraction[link]

Radar video returns on aircraft can be subjected to a plot extraction process whereby spurious and interfering signals are discarded. A sequence of target returns can be monitored through a device known as a plot extractor. The non relevant real time returns can be removed from the displayed information and a single plot displayed. In some radar systems, or alternatively in the command and control system to which the radar is connected, a radar tracker is used to associate the sequence of plots belonging to individual targets and estimate the targets' headings and speeds.

Engineering[link]

Radar components

A radar's components are:

• A transmitter that generates the radio signal with an oscillator such as a klystron or a magnetron and controls its duration by a modulator.
• A waveguide that links the transmitter and the antenna.
• A duplexer that serves as a switch between the antenna and the transmitter or the receiver for the signal when the antenna is used in both situations.
• A receiver. Knowing the shape of the desired received signal (a pulse), an optimal receiver can be designed using a matched filter.
• An electronic section that controls all those devices and the antenna to perform the radar scan ordered by software.
• A link to end users.

Antenna design[link]

Radio signals broadcast from a single antenna will spread out in all directions, and likewise a single antenna will receive signals equally from all directions. This leaves the radar with the problem of deciding where the target object is located.

Early systems tended to use omnidirectional broadcast antennas, with directional receiver antennas which were pointed in various directions. For instance the first system to be deployed, Chain Home, used two straight antennas at right angles for reception, each on a different display. The maximum return would be detected with an antenna at right angles to the target, and a minimum with the antenna pointed directly at it (end on). The operator could determine the direction to a target by rotating the antenna so one display showed a maximum while the other shows a minimum. One serious limitation with this type of solution is that the broadcast is sent out in all directions, so the amount of energy in the direction being examined is a small part of that transmitted. To get a reasonable amount of power on the "target", the transmitting aerial should also be directional.

Parabolic reflector[link]

More modern systems use a steerable parabolic "dish" to create a tight broadcast beam, typically using the same dish as the receiver. Such systems often combine two radar frequencies in the same antenna in order to allow automatic steering, or radar lock.

Parabolic reflectors can be either symmetric parabolas or spoiled parabolas: Symmetric parabolic antennas produce a narrow "pencil" beam in both the X and Y dimensions and consequently have a higher gain. The NEXRAD Pulse-Doppler weather radar uses a symmetric antenna to perform detailed volumetric scans of the atmosphere. Spoiled parabolic antennas produce a narrow beam in one dimension and a relatively wide beam in the other. This feature is useful if target detection over a wide range of angles is more important than target location in three dimensions. Most 2D surveillance radars use a spoiled parabolic antenna with a narrow azimuthal beamwidth and wide vertical beamwidth. This beam configuration allows the radar operator to detect an aircraft at a specific azimuth but at an indeterminate height. Conversely, so-called "nodder" height finding radars use a dish with a narrow vertical beamwidth and wide azimuthal beamwidth to detect an aircraft at a specific height but with low azimuthal precision.

Surveillance radar antenna

Types of scan[link]

• Primary Scan: A scanning technique where the main antenna aerial is moved to produce a scanning beam, examples include circular scan, sector scan etc.
• Secondary Scan: A scanning technique where the antenna feed is moved to produce a scanning beam, examples include conical scan, unidirectional sector scan, lobe switching etc.
• Palmer Scan: A scanning technique that produces a scanning beam by moving the main antenna and its feed. A Palmer Scan is a combination of a Primary Scan and a Secondary Scan.

Slotted waveguide[link]

Slotted waveguide antenna

Applied similarly to the parabolic reflector, the slotted waveguide is moved mechanically to scan and is particularly suitable for non-tracking surface scan systems, where the vertical pattern may remain constant. Owing to its lower cost and less wind exposure, shipboard, airport surface, and harbour surveillance radars now use this in preference to the parabolic antenna.

Phased array[link]

Phased array: Not all radar antennas must rotate to scan the sky.

Another method of steering is used in a phased array radar. This uses an array of similar aerials suitably spaced, the phase of the signal to each individual aerial being controlled so that the signal is reinforced in the desired direction and cancels in other directions. If the individual aerials are in one plane and the signal is fed to each aerial in phase with all others then the signal will reinforce in a direction perpendicular to that plane. By altering the relative phase of the signal fed to each aerial the direction of the beam can be moved because the direction of constructive interference will move. Because phased array radars require no physical movement the beam can scan at thousands of degrees per second, fast enough to irradiate and track many individual targets and still run a wide-ranging search periodically. By simply turning some of the antennas on or off, the beam can be spread for searching, narrowed for tracking, or even split into two or more virtual radars. However, the beam cannot be effectively steered at small angles to the plane of the array, so for full coverage multiple arrays are required, typically disposed on the faces of a triangular pyramid (see picture).

Phased array radars have been in use since the earliest years of radar use in World War II, but limitations of the electronics led to fairly poor accuracy. Phased array radars were originally used for missile defense. They are the heart of the ship-borne Aegis combat system and the Patriot Missile System and are increasingly used in other areas because the lack of moving parts makes them more reliable, which sometimes permits a much larger effective antenna, useful in fighter aircraft applications that offer only confined space for mechanical scanning.

As the price of electronics has fallen, phased array radars have become more common. Almost all modern military radar systems are based on phased arrays, where the small additional cost is offset by the improved reliability of a system with no moving parts. Traditional moving-antenna designs are still widely used in roles where cost is a significant factor such as air traffic surveillance, weather radars and similar systems.

Phased array radars are valued for use in aircraft since they can track multiple targets. The first aircraft to use a phased array radar was the B-1B Lancer. The first aircraft fighter to use phased array radar was the Mikoyan MiG-31. The MiG-31M's SBI-16 Zaslon phased array radar is considered to be the world's most powerful fighter radar.^[27] Phased-array interferometry or, aperture synthesis techniques, using an array of separate dishes that are phased into a single effective aperture, are not typically used for radar applications, although they are widely used in radio astronomy. Because of the thinned array curse, such arrays of multiple apertures, when used in transmitters, result in narrow beams at the expense of reducing the total power transmitted to the target. In principle, such techniques used could increase the spatial resolution, but the lower power means that this is generally not effective. Aperture synthesis by post-processing of motion data from a single moving source, on the other hand, is widely used in space and airborne radar systems.

Frequency bands[link]

The traditional band names originated as code-names during World War II and are still in military and aviation use throughout the world. They have been adopted in the United States by the Institute of Electrical and Electronics Engineers and internationally by the International Telecommunication Union. Most countries have additional regulations to control which parts of each band are available for civilian or military use.

Other users of the radio spectrum, such as the broadcasting and electronic countermeasures industries, have replaced the traditional military designations with their own systems.

Radar modulators[link]

Modulators act to provide the waveform of the RF-pulse. There are two different radar modulator designs:

• high voltage switch for non-coherent keyed power-oscillators^[28] These modulators consist of a high voltage pulse generator formed from a high voltage supply, a pulse forming network, and a high voltage switch such as a thyratron. They generate short pulses of power to feed the e.g. magnetron, a special type of vacuum tube that converts DC (usually pulsed) into microwaves. This technology is known as pulsed power. In this way, the transmitted pulse of RF radiation is kept to a defined, and usually, very short duration.
• hybrid mixers,^[29] fed by a waveform generator and an exciter for a complex but coherent waveform. This waveform can be generated by low power/low-voltage input signals. In this case the radar transmitter must be a power-amplifier, e.g. a klystron tube or a solid state transmitter. In this way, the transmitted pulse is intrapulse-modulated and the radar receiver must use pulse compression technique.

Radar coolant[link]

Coolanol (silicate ester) was used in several military radars in the 1970s. However, it is hygroscopic, leading to formation of highly flammable alcohol. The loss of a U.S. Navy aircraft in 1978 was attributed to a silicate ester fire.^[30] Coolanol is also expensive and toxic. The U.S. Navy has instituted a program named Pollution Prevention (P2) to reduce or eliminate the volume and toxicity of waste, air emissions, and effluent discharges. Because of this Coolanol is used less often today.

See also[link]

	Electronics portal
	Nautical portal

• Acronyms and abbreviations in avionics

Definitions

• Amplitude-comparison monopulse
• Constant false alarm rate
• Sensitivity time control

Hardware

• Radar engineering details
• Klystron
• Cavity magnetron
• Radio
• Traveling-wave tube
• Crossed-field amplifier
• Gallium arsenide

Similar detection and ranging methods

• LIDAR
• LORAN
• Sonar

Historical radars

• List of radars
• Chain Home and Chain Home Low
• Hohentwiel radar
• H2S radar
• SCR-270 radar

Notes[link]

References[link]

• Barrett, Dick, "All you ever wanted to know about British air defence radar". The Radar Pages. (History and details of various British radar systems)
• Buderi, "Telephone History: Radar History". Privateline.com. (Anecdotal account of the carriage of the world's first high power cavity magnetron from Britain to the US during WW2.)
• Ekco Radar WW2 Shadow Factory The secret development of British radar.
• ES310 "Introduction to Naval Weapons Engineering.". (Radar fundamentals section)
• Hollmann, Martin, "Radar Family Tree". Radar World.
• Penley, Bill, and Jonathan Penley, "Early Radar History—an Introduction". 2002.
• Pub 1310 Radar Navigation and Maneuvering Board Manual, National Imagery and Mapping Agency, Bethesda, MD 2001 (US govt publication '...intended to be used primarily as a manual of instruction in navigation schools and by naval and merchant marine personnel.')
• Swords, Seán S., Technical History of the Beginnings of Radar, IEE History of Technology Series, Vol. 6, London: Peter Peregrinus, 1986

Further reading[link]

• Reg Batt (1991). The radar army: winning the war of the airwaves. ISBN 978-0-7090-4508-3. 
• E. G. Bowen (1998-01-01). Radar Days. Taylor & Francis. ISBN 978-0-7503-0586-0. 
• Michael Bragg (2002-05-01). RDF1: The Location of Aircraft by Radio Methods 1935-1945. Twayne Publishers. ISBN 978-0-9531544-0-1. 
• Louis Brown (1999). A radar history of World War II: technical and military imperatives. Taylor & Francis. ISBN 978-0-7503-0659-1. 
• Robert Buderi (1996). The invention that changed the world: how a small group of radar pioneers won the Second World War and launched a technological revolution. ISBN 978-0-684-81021-8. 
• Burch, David F., Radar For Mariners, McGraw Hill, 2005, ISBN 978-0-07-139867-1.
• Ian Goult (2011). Secret Location: A witness to the Birth of Radar and its Postwar Influence. History Press. ISBN 978-0-7524-5776-5. 
• Peter S. Hall (1991-03). Radar. Potomac Books Inc. ISBN 978-0-08-037711-7. 
• Derek Howse; Naval Radar Trust (1993-02). Radar at sea: the royal Navy in World War 2. Naval Institute Press. ISBN 978-1-55750-704-4. 
• R. V. Jones (1998-08). Most Secret War. Wordsworth Editions Ltd. ISBN 978-1-85326-699-7. 
• Kaiser, Gerald, Chapter 10 in "A Friendly Guide to Wavelets", Birkhauser, Boston, 1994.
• Kouemou, Guy (Ed.): Radar Technology. InTech, 2010, ISBN 978-953-307-029-2, (Radar Technology - Free Open Access Book | InTechOpen).
• Colin Latham; Anne Stobbs (1997-01). Radar: A Wartime Miracle. Sutton Pub Ltd. ISBN 978-0-7509-1643-1. 
• François Le Chevalier (2002). Principles of radar and sonar signal processing. Artech House Publishers. ISBN 978-1-58053-338-6. 
• David Pritchard (1989-08). The radar war: Germany's pioneering achievement 1904-45. Harpercollins. ISBN 978-1-85260-246-8. 
• Merrill Ivan Skolnik (1980-12-01). Introduction to radar systems. ISBN 978-0-07-066572-9. 
• Merrill Ivan Skolnik (1990). Radar handbook. McGraw-Hill Professional. ISBN 978-0-07-057913-2. 
• George W. Stimson (1998). Introduction to airborne radar. SciTech Publishing. ISBN 978-1-891121-01-2. 
• Younghusband, Eileen., Not an Ordinary Life. How Changing Times Brought Historical Events into my Life, Cardiff Centre for Lifelong Learning, Cardiff, 2009., ISBN 9780956115690 (Pages 36–67 contain the experiences of a WAAF radar plotter in WWII.)
• Younghusband, Eileen., One Woman's War. Cardiff. Candy Jar Books. 2011. ISBN 978-0-9566826-2-8
• David Zimmerman (2001-02). Britain's shield: radar and the defeat of the Luftwaffe. Sutton Pub Ltd. ISBN 978-0-7509-1799-5. 

External links[link]

Wikimedia Commons has media related to: Radar

• MIT Video Course: Introduction to Radar Systems A set of 10 video lectures developed at Lincoln Laboratory to develop an understanding of radar systems and technologies.
• Popular Science, August 1943, What Are the Facts About RADAR one of the first detailed factual articles on radar history, principles and operation published in the US
• "The Great Detective", 1946. Story of the development of radar by the Chrysler Corporation
• Christian Hülsmeyer and the early days of radar
• Radar: The Canadian History of Radar - Canadian War Museum
• Radar technology principles
• History of radar
• Radar invisibility with metamaterials
• Radar Research Center-Italy
• Early radar development in the UK
• Principles of radar target acquisition and weapon guidance systems
• Cloaking and radar invisibility
• The Secrets of Radar Museum
• 84th Radar Evaluation Squadron
• Radar
• EKCO WW II ASV radar units
• RAF Air Defence Radar Museum
• Radar - A case study highlighting the vital contribution physics research has made to major technological development
• The short film Radar and Its Applications (1962) is available for free download at the Internet Archive [more]

Britney Spears
Spears performing at her Femme Fatale Tour in Europe, 2011
Background information
Birth name	Britney Jean Spears
Born	(1981-12-02) December 2, 1981 (age 30) McComb, Mississippi, U.S.
Genres	Pop, dance
Occupations	Singer, songwriter, dancer, actress, record producer, author, fashion designer, video director
Instruments	Vocals, piano
Years active	1992–present
Labels	Jive, RCA[1]
Associated acts	The New Mickey Mouse Club
Website	britneyspears.com britney.com

Britney Jean Spears (born December 2, 1981) is an American recording artist and entertainer. Born in McComb, Mississippi, and raised in Kentwood, Louisiana, Spears began performing as a child, landing acting roles in stage productions and television shows. She signed with Jive Records in 1997 and released her debut album ...Baby One More Time in 1999, which became the best-selling album by a teenage solo artist.^[2] During her first decade in the music industry, she became a prominent figure in mainstream popular music and popular culture, followed by a much-publicized personal life. Her first two albums established her as a pop icon and broke sales records, while title tracks "...Baby One More Time" and "Oops!... I Did It Again" became international number-one hits. Spears was credited with influencing the revival of teen pop during the late 1990s, and became the 'best-selling teen aged artist of all time' before she turned 20,^[3] garnering her the honorific title of "Princess of Pop".^[4]

In 2001, she released her third studio album Britney and expanded her brand, playing the starring role in the film Crossroads. She assumed creative control of her fourth studio album, In the Zone (2003), which yielded chart-topping singles "Me Against the Music", "Toxic" and "Everytime". After the release of two compilation albums, Spears experienced personal struggles and her career went into hiatus. Her fifth studio album, Blackout, was released in 2007 and despite receiving little promotion, it spawned hits "Gimme More" and "Piece of Me". In 2008, her erratic behavior and hospitalizations caused her to be placed in a conservatorship. The same year, her sixth studio album Circus was released, with the global chart-topping lead single "Womanizer", and hits such as "Circus" and "If U Seek Amy". She embarked on her highest-grossing global concert tour,^[5] The Circus Starring Britney Spears, in 2009. In October of the same year, she released a chart-topping single, "3", which became her third single to reach number one on the Billboard Hot 100. Her seventh studio album Femme Fatale, released in 2011, has become the first of her albums to yield three top ten singles in the United States, "Hold It Against Me", "Till the World Ends" and "I Wanna Go". The same year, she also gained her fifth number one single when she featured on the remix of "S&M" alongside Rihanna.

Spears work has earned her numerous awards and accolades, including a Grammy Award, 6 MTV Video Music Awards including the Lifetime Achievement Award, 9 Billboard Music Awards, and a star on the Hollywood Walk of Fame. In 2009, Billboard ranked her as the 8th overall Artist of the Decade,^[6] and also recognized her as the best-selling female artist of the first decade of the 21st century, as well as the fifth overall.^[7] The Recording Industry Association of America (RIAA) also recognized Spears as the eighth top-selling female artist in the United States, with 33 million certified albums.^[8] Nielsen SoundScan ranked Spears the tenth best-selling digital artist of the country, with more than 28.6 million digital singles as of January 2012.^[9] She has sold over 100 million albums worldwide, making her one of the best-selling music artists of all time.^[10] Rolling Stone recognized her instant success as one of the Top 25 Teen Idol Breakout Moments of all time,^[11] while VH1 ranked her eleventh on their "100 Greatest Women in Music" list in 2012.^[12] Forbes also revealed that Spears was the sixth most powerful celebrity, and the third best paid musician of 2011-12, having topped the list back in 2002.^[13] In Fall 2012, Spears will serve as a judge in the second season of the American version of The X Factor.^[14]

Biography[link]

1981–97: Early life, and career beginnings[link]

Britney Jean Spears was born on December 2, 1981, the second child of Lynne Irene (née Bridges) and James Parnell Spears. She is of English heritage through her maternal grandmother, Lillian Portelli who was born in London, and of distant Maltese and Sicilian (Sicani) descent.^[15][16][17] Her siblings are Bryan James and Jamie Lynn.^[18] At age three, she started to attend dance lessons in her hometown of Kentwood, Louisiana, and was selected to perform as a solo artist at the annual recital. During her childhood, she also attended gymnastics and voice lessons, and won many state-level competitions and children's talent shows.^[19][20][21] Spears made her local stage debut at age five, singing "What Child Is This?" at her kindergarten graduation. She said about her ambition as a child, "I was in my own world, [...] I found out what I'm supposed to do at an early age".^[20] At age eight, Spears and her mother Lynne traveled to Atlanta for an audition in the 1990s revival of The Mickey Mouse Club. Casting director Matt Casella rejected her for being too young to join the series at the time, but introduced her to Nancy Carson, a New York City talent agent. Carson was impressed with Spears's vocals and suggested enrolling her at the Professional Performing Arts School; shortly after, Lynne and her daughters moved to a sublet apartment in New York. Spears was hired for her first professional role as the understudy for the lead role of Tina Denmark in the Off-Broadway musical Ruthless!. She also appeared as a contestant on the popular television show Star Search, as well as being cast in a number of commercials.^[22][23] In December 1992, she was finally cast in The Mickey Mouse Club, but returned to Kentwood after the show was canceled. She enrolled at Parklane Academy in nearby McComb, Mississippi. Although she made friends with most of her classmates, she compared the school to "the opening scene in Clueless with all the cliques. [...] I was so bored. I was the point guard on the basketball team. I had my boyfriend, and I went to homecoming and Christmas formal. But I wanted more."^[20][24]

In June 1997, Spears was in talks with manager Lou Pearlman to join the female pop group Innosense. Lynne asked family friend and entertainment lawyer Larry Rudolph for his opinion and submitted a tape of Spears singing over a Whitney Houston karaoke song along with some pictures. Rudolph decided he wanted to pitch her to record labels, therefore she needed a professional demo. He sent Spears an unused song of Toni Braxton; she rehearsed for a week and recorded her vocals in a studio with a sound engineer. Spears traveled to New York with the demo and met with executives from four labels, returning to Kentwood the same day. Three of the labels rejected her, arguing that audiences wanted pop bands such as the Backstreet Boys and the Spice Girls, and "there wasn't going to be another Madonna, another Debbie Gibson, or another Tiffany." Two weeks later, executives from Jive Records returned calls to Rudolph.^[25] Senior vice president of A&R Jeff Fenster stated about Spears's audition that "It's very rare to hear someone that age who can deliver emotional content and commercial appeal. [...] For any artist, the motivation—the 'eye of the tiger'—is extremely important. And Britney had that."^[20] She then sang Houston's "I Have Nothing" (1992) for the executives, and got signed to the label.^[26] They appointed her to work with producer Eric Foster White for a month, who reportedly shaped her voice from "lower and less poppy" delivery to "distinctively, unmistakably Britney."^[27] After hearing the recorded material, president Clive Calder ordered a full album. Spears had originally envisioned "Sheryl Crow music, but younger more adult contemporary" but felt all right with her label's appointment of producers, since "It made more sense to go pop, because I can dance to it—it's more me." She flew to Cheiron Studios in Stockholm, Sweden, where half of the album was recorded from March to April 1998, with producers Max Martin, Denniz Pop and Rami Yacoub, among others.^[20]

[edit] 1998–2000: ...Baby One More Time, and Oops!... I Did It Again

After Spears returned to the United States, she embarked on a shopping mall promotional tour to promote her forthcoming album. Her show was a four song set and she was accompanied by two back up dancers. Her first concert tour followed, as an opening act for 'N Sync.^[28] Her debut album, ...Baby One More Time, was released on January 1999.^[29] It debuted at number one on the U.S. Billboard 200 and was certified two-times platinum by the Recording Industry Association of America after a month. Worldwide, the album topped the charts in fifteen countries and sold over ten million copies in a year.^[30] It became the biggest selling album ever by a teenage artist.^[21] The title track was released as the lead single from the album. Originally, Jive Records wanted its music video to be animated; however, Spears rejected it, and suggested the final idea of a Catholic schoolgirl.^[27] The single sold 500,000 copies on its first day, and peaked at number one on the Billboard Hot 100, topping the chart for two consecutive weeks.^[31][32] "...Baby One More Time" later received a Grammy nomination for Best Female Pop Vocal Performance.^[33] The title track also topped the singles chart for two weeks in the United Kingdom, and became the fastest-selling single ever by a female artist, shipping over 460,000 copies.^[34] It would later become the 25th most successful song of all time in British chart history.^[35] Spears is also the youngest female artist to have a million seller in the country.^[36] "(You Drive Me) Crazy" was released as the third single from the album. It became a top-ten hit worldwide and propelled ...Baby One More Time to sell 26 million copies.^[37]

The April 1999 cover of Rolling Stone featured Spears lying on her bed, clad with a bra, shorts and an open top. The American Family Association (AFA) referred to the shoot as "a disturbing mix of childhood innocence and adult sexuality" and called to "God-loving Americans to boycott stores selling Britney's albums." Spears responded to the outcry commenting, "What's the big deal? I have strong morals. [...] I'd do it again. I thought the pictures were fine. And I was tired of being compared to Debbie Gibson and all of this bubblegum pop all the time."^[38] Shortly before, Spears had announced publicly she would remain a virgin until marriage.^[21] On June 28, 1999, Spears began her first headlining ...Baby One More Time Tour in North America, which was positively received by critics,^[39] but generated some controversy due to her racy outfits.^[40] An extension of the tour, titled Crazy 2k, followed in March 2000. Spears premiered songs from her upcoming second album during the show.^[24]

Oops!... I Did It Again, her second studio album, was released in May 2000. It debuted at number one in the US, selling 1,3 million copies, breaking the SoundScan record for the highest debut sales by any solo artist.^[41] The album sold over 20 million copies worldwide.^[42] Rob Sheffield of Rolling Stone said that "the great thing about Oops! – under the cheese surface, Britney's demand for satisfaction is complex, fierce and downright scary, making her a true child of rock & roll tradition."^[43] The album's lead single, "Oops!... I Did It Again", peaked at the top of the charts in Australia, New Zealand, the United Kingdom and many other European nations.^[36][44] The album as well as the title track received Grammy nominations for Best Pop Vocal Album and Best Female Pop Vocal Performance, respectively.^[45]

The same year, Spears embarked on the Oops!... I Did It Again World Tour, which grossed $40.5 million; she also released her first book, Britney Spears' Heart-to-Heart, co-written with her mother.^[21][46] On September 7, 2000, Spears performed at the 2000 MTV Video Music Awards. Halfway through the performance, she ripped off her black suit to reveal a sequined flesh-colored bodysuit, followed by heavy dance routine. It is noted by critics as the moment that Spears showed signs of becoming a more provocative performer.^[47] Amidst media speculation, Spears confirmed she was dating 'N Sync member Justin Timberlake.^[21]

[edit] 2001–03: Britney, Crossroads, and In the Zone

Spears performing at the NFL Kickoff Live in 2003.

In February 2001, Spears signed a $7–8 million promotional deal with Pepsi, and released another book co-written with her mother, entitled A Mother’s Gift.^[21] Her third studio album, Britney, was released in November 2001. While on tour, she felt inspired by hip hop artists such as Jay-Z and The Neptunes and wanted to create a record with a funkier sound.^[48] The album debuted at number one in the Billboard 200 and reached top five positions in Australia, the United Kingdom and mainland Europe and sold over 12 million copies worldwide.^[36][49][50] Stephen Thomas Erlewine of Allmusic called Britney "the record where she strives to deepen her persona, making it more adult while still recognizably Britney. [...] It does sound like the work of a star who has now found and refined her voice, resulting in her best record yet."^[51] The album was honored with two Grammy nominations—Best Pop Vocal Album and Best Female Pop Vocal Performance for "Overprotected"— and was listed in 2008 as one of Entertainment Weekly's "100 Best Albums from the Past 25 Years".^[52][53] The album's first single, "I'm a Slave 4 U", became a top-ten hit worldwide.^[54]

Spears's performance of the single at the 2001 MTV Video Music Awards featured a caged tiger and a large albino python draped over her shoulders. It was harshly received by animal rights organization PETA, who claimed the animals were mistreated and scrapped plans for an anti-fur billboard that was to feature Spears.^[47] To support the album, Spears embarked on the Dream Within a Dream Tour. The show was critically praised for its technical innovations, the pièce de résistance being a water screen that pumped two tons of water into the stage.^[55][56] The tour grossed $43.7 million, becoming the second highest grossing tour of 2002 by a female artist, behind Cher's Farewell Tour.^[57] Her career success was highlighted by Forbes in 2002, as Spears was ranked the world's most powerful celebrity.^[58] Spears also landed her first starring role in Crossroads, released in February 2002. Although the film was largely panned, most critics actually praised Spears's acting.^[59][60][61] Crossroads, which had a $11 million budget, went on to gross over $57 million worldwide.^[61]

In June 2002, Spears opened her first restaurant, Nyla, in New York City, but terminated her relationship in November, citing mismanagement and "management's failure to keep her fully apprised".^[62] In July 2002, Spears announced she would take a six month break from her career; however, she went back into the studio in November to record her new album.^[63] Spears' relationship with Justin Timberlake ended after three years. In December 2002, Timberlake released the song "Cry Me a River" as the second single from his solo debut album. The music video featured a Spears look-alike and fueled the rumors that she had been unfaithful to him.^[64][65] As a response, Spears wrote the ballad "Everytime" with her backing vocalist and friend Annet Artani.^[66] The same year, Limp Bizkit frontman Fred Durst said that he was in a relationship with Spears. However, Spears denied Durst's claims.^[67] In a 2009 interview, he explained that "I just guess at the time it was taboo for a guy like me to be associated with a gal like her."^[67] Spears opened the 2003 MTV Video Music Awards with Christina Aguilera, performing "Like a Virgin". Halfway through they were joined by Madonna, with whom they both kissed. The incident was highly publicized.^[61]

Spears released her fourth studio album, In the Zone, in November 2003. She assumed more creative control by writing and co-producing most of the material.^[21] Vibe called it "A supremely confident dance record that also illustrates Spears's development as a songwriter."^[68] NPR listed the album as one of "The 50 Most Important Recording of the Decade", adding that "the decade's history of impeccably crafted pop is written on her body of work."^[69] In the Zone sold over 609,000 copies in the United States and debuted at the top of the charts, making Spears the first female artist in the SoundScan era to have her first four studio albums to debut at number one.^[21] It also debuted at the top of the charts in France and the top ten in Belgium, Denmark, Sweden and the Netherlands.^[70] In the Zone sold over 10 million copies worldwide.^[71] The album produced the hit singles: "Me Against the Music", a collaboration with Madonna; "Toxic"—which won Spears her first and only Grammy for Best Dance Recording; "Everytime" and "Outrageous".^[21]

[edit] 2004–07: Compilation albums, motherhood, personal struggles, and Blackout

Spears performing live on The Onyx Tour in 2004

On January 3, 2004, Spears married childhood friend Jason Allen Alexander at The Little White Wedding Chapel in Las Vegas. The marriage was annulled 55 hours later, stating that Spears "lacked understanding of her actions".^[72] She began The Onyx Hotel Tour in support of In the Zone in March 2004.^[73] On June 8, 2004, Spears fell and injured her left knee during the music video shoot for "Outrageous". She was taken immediately to a local hospital, where doctors performed an MRI scan and found floating cartilage. The following day, Spears underwent arthroscopic surgery. She was forced to remain six weeks with a thigh brace, followed by eight to twelve weeks of rehabilitation, which caused The Onyx Hotel Tour to be canceled.^[74] During 2004, Spears became involved in the Kabbalah Centre through her friendship with Madonna.^[75]

In July 2004, she announced her engagement to American dancer Kevin Federline, whom she had met three months before. The romance received intense attention from the media, since Federline had recently broken up with actress Shar Jackson, who was still pregnant with their second child at the time.^[21] The initial stages of their relationship were chronicled in Spears's first reality show Britney & Kevin: Chaotic. They held a wedding ceremony on September 18, 2004, but were not legally married until three weeks later on October 6 due to a delay finalizing the couple's prenuptial agreement.^[76] Shortly after, she released her first fragrance with Elizabeth Arden, Curious, which broke the company's first-week gross for a perfume.^[21] In October 2004, Spears announced she would be taking another career break to start a family.^[77] Greatest Hits: My Prerogative, her first greatest hits compilation album, was released in November 2004.^[78] Spears's cover version of Bobby Brown's "My Prerogative" was released as the lead single from the album, reaching the top of the charts in Finland, Ireland, Italy and Norway.^[79] The second single, "Do Somethin'", was a top ten hit in Australia, the United Kingdom and other countries of mainland Europe.^[80][81] Worldwide, Greatest Hits: My Prerogative sold over 5 million copies.^[82] In late 2004, Spears went on KIIS-FM radio in Los Angeles, CA to play a new demo titled "Mona Lisa." The demo was to be the first single from an upcoming album called the "Original Doll." However, Spears' label later cancelled the album for unknown reasons.^[83][84] Spears gave birth to her first child, Sean Preston Federline, on September 14, 2005.^[85]

In November 2005, she released her first remix compilation, B in the Mix: The Remixes, which consists of eleven remixes.^[86] It has sold over 1 million copies worldwide, making it one of the best selling remix albums of all time.^[87] In February 2006, pictures surfaced of Spears driving with her son Sean, on her lap instead of in a car seat. Child advocates were horrified by the photos of her holding the wheel with one hand and Sean with the other. Spears claimed that the situation happened because of a frightening encounter with paparazzi, and that it was a mistake on her part.^[21] The following month, she guest-starred on the Will & Grace episode "Buy, Buy Baby" as closeted lesbian Amber Louise.^[88] She publicly announced she no longer studied Kabbalah in June 2006, explaining, "my baby is my religion."^[75] Two months later, Spears posed nude for the cover of Harper's Bazaar. The picture was heavily compared to Demi Moore's August 1991 Vanity Fair cover.^[21] She gave birth to her second child, Jayden James Federline, on September 12, 2006.^[89] On November 7, 2006, Spears filed for divorce from Federline, citing irreconcilable differences.^[90] Their divorce was finalized in July 2007, when the couple reached a global settlement and agreed to share joint custody of their children.^[91] Spears's aunt Sandra Bridges Covington, with whom she had been very close, died of ovarian cancer in January.^[92] On February 16, 2007, Spears stayed in a drug rehabilitation facility in Antigua for less than a day. The following night, she shaved her head with electric clippers at a hair salon in Tarzana, Los Angeles. She admitted herself to other treatment facilities during the following weeks.^[93] After completing a month-long program at Promises, she wrote on her website, "I truly hit rock bottom. Till this day I don't think that it was alcohol or depression. [...] was like a bad kid running around with ADD."^[21] In May 2007, she produced a series of promotional concerts at House of Blues venues, titled The M+M's Tour.^[94] Spears lost physical custody of her children to Federline on October 1, 2007. The reasons of the court ruling were not revealed to the public.^[95] Also, in 2007 Spears was sued by Louis Vuitton over her 2005 music video "Do Something" for pimping out her Hummer interior in counterfiet Louis Vuitton cherry blossom fabric. Which resulted in her video being banned on European TV stations.^[96]

Her fifth studio album, Blackout, was released in October 2007. It debuted at the top of charts in Canada and Ireland, number two in the U.S. Billboard 200,—held off from the top spot by Eagles's Long Road out of Eden— France, Japan, Mexico and the United Kingdom and the top ten in Australia, Korea, New Zealand and many European nations. In the United States, Spears became the only female artist to have her first five studio albums debut at the two top slots of the chart.^[97] Blackout sold over 3.1 million copies worldwide.^[98] Peter Robinson of The Observer said that "Britney has delivered the best album of her career, raising the bar for modern pop music with an incendiary mix of Timbaland's Shock Value and her own back catalogue."^[99] Dennis Lim of Blender commented, "Spears’s fifth studio album is her most consistent, a seamlessly entertaining collection of bright, brash electropop."^[100] Blackout won Album of the Year at MTV Europe Music Awards 2008 and was listed as the fifth Best Pop Album of the Decade by The Times.^[101][102] Spears performed the lead single "Gimme More" at the 2007 MTV Video Music Awards. The performance was panned by many critics. David Willis of BBC stated her performance would "go down in the history books as being one of the worst to grace the MTV Awards".^[103] Despite the backlash, the single rocketed to worldwide success, peaking at number one in Canada and the top ten in almost every country it charted.^[104][105] The second single "Piece of Me" reached the top of the charts in Ireland and reached the top five in Australia, Canada, Denmark, New Zealand and the United Kingdom. The third single "Break the Ice" was released the following year and had moderate success due to Spears not being able to promote it properly.^{[106][107][108]} In December 2007, Spears began a relationship with paparazzo Adnan Ghalib.^[109]

[edit] 2008–10: Conservatorship, and Circus

Spears performing "Freakshow" at The Circus Starring Britney Spears, 2009.

On January 3, 2008, Spears refused to relinquish custody of her sons to Federline's representatives. She was hospitalized at Cedars-Sinai Medical Center, after police that arrived at her house noted she appeared to be under the influence of an illicit substance. The following day, Spears's visitation rights were suspended at an emergency court hearing, and Federline was given sole physical and legal custody of the children. On January 31, 2008, Spears was committed to the psychiatric ward of Ronald Reagan UCLA Medical Center and put on 5150 involuntary psychiatric hold. The court placed her under temporary conservatorship of her father James Spears and attorney Andrew Wallet, giving them complete control of her assets.^[21] Spears was released on February 6, 2008. Her parents expressed disappointment and concern at the decision to release her.^[110] The following month, she guest-starred on the How I Met Your Mother episode "Ten Sessions" as receptionist Abby. She received positive reviews for her performance, as well as bringing the series its highest ratings ever.^[111][112] In July 2008, Spears regained some visitation rights after coming to an agreement with Federline and his counsel.^[113] On September 7, 2008, Spears opened the MTV Video Music Awards with a pre-taped comedy sketch with Jonah Hill and an introduction speech. She won Best Female Video, Best Pop Video and Video of the Year for "Piece of Me".^[114] A 60-minute introspective documentary, Britney: For the Record, was produced to chronicle Spears' return to the recording industry. Directed by Phil Griffin, For the Record was entirely shot in Beverly Hills, Hollywood, and New York City during the third quarter of 2008.^[115] Main shooting began on September 5, 2008, two days before Spears' appearance at the MTV Video Music Awards. For the Record was broadcast on MTV on November 30, 2008 to 5.6 million viewers for the two airings on the premiere night. MTV reported that Spears' documentary garnered on average, the highest rating in its Sunday night timeslot, in the network's history.^[116]

Her sixth studio album Circus, was released in December 2008. It received positive reviews from critics; according to the music review aggregation of Metacritic, it garnered an average score of 64/100.^[117] Circus debuted at number one in Canada, Czech Republic and the United States, and inside the top in many European nations.^[105][118] In the United States, Spears became the youngest female artist to have five albums debut at number one, earning a place in the Guinness Book of World Records.^[119] She also became the only act in the Soundscan era to have four albums debut with 500,000 or more copies sold.^[118] Circus became one of the fastest-selling albums of the year,^[120] and has sold 4 million copies worldwide.^[121][122] Its lead single, "Womanizer", became her first number one in the Billboard Hot 100 since "...Baby One More Time" and topped the charts in countries such as Belgium, Canada, Denmark, Finland, France, Norway and Sweden.^[123][124] It was also nominated for a Grammy in the category of Best Dance Recording.^[125] In January 2009, Spears and her father James obtained a restraining order against her former manager Sam Lufti, ex-boyfriend Adnan Ghalib and attorney Jon Eardley—all of whom, court documents claim, had been conspiring to gain control of Spears's affairs. The restraining order forbids Lutfi and Ghalib from contacting Spears or coming within 250 yards of her, her property or family members.^[126] Spears embarked on The Circus Starring Britney Spears in March 2009. With a gross of U.S. $131.8 million, it became the fifth highest grossing tour of the year.^[127]

She released her second greatest hits album, The Singles Collection in November 2009. "3" became her third number one single in the US, and was the first song to debut at the top of the charts in three years.^[128] Later that month, she released an application for iPhone and iPod Touch titled "It's Britney!".^[129] In May 2010, Spears's representatives confirmed she was dating her agent Jason Trawick, and that they had decided to end their professional relationship to focus on their personal relationship.^[130] Spears designed a limited edition clothing line for Candie's, which was released in stores in July 2010.^[131] On September 28, 2010, she made a cameo appearance on a Spears-themed tribute episode of American TV show Glee, titled "Britney/Brittany". Spears approved of the episode, although her appearances received mixed reviews from critics.^[132][133] The episode drew Glee's second largest audience, as well as the show's highest ratings ever.^[134][135]