
Radar is an instrument that uses radio waves to detect and measure the distance, speed, or other properties of objects.Radar is an active radio-location system that emits electromagnetic waves and analyzes their reflections from targets. Modern radars use complex pulse sequences (chirps) with linear frequency modulation, allowing high range resolution (down to centimeters) at moderate peak power. The receiver measures the time of flight τ, amplitude, phase, and frequency of the returned signal, calculating range, size, speed, and even shape of the object. Doppler shift gives radial velocity, and beam steering (scanning) gives angular coordinates. Pulsed radars alternate transmission and reception; Doppler radars transmit continuously and filter the reflected signal from stationary clutter.
The idea of radar was proposed by Tesla as early as 1900, but practical implementation began in the 1930s simultaneously in several countries. Robert Watson-Watt in 1935 demonstrated aircraft detection at a distance of 27 km. The key invention was the cavity magnetron (1940, Boot and Randall), which enabled compact, powerful microwave radars. After the war, civilian applications—air navigation, meteorology, astronomy (radio telescopes)—came to the fore. The 1970s saw the introduction of digital signal processing, and the 21st century brought multiple-input multiple-output (MIMO) radars.
Radar emits a coherent beam of electromagnetic waves (usually in the microwave band) and receives the reflected signal. The time delay Δt determines range: R = cΔt/2. Doppler frequency shift f_d = 2v/λ gives radial velocity v. Phased arrays steer the beam by changing the phase of the signal at each element, without moving the antenna. Pulse compression improves range resolution: a long chirp with frequency modulation is transmitted, and upon reception it is convolved with a matched filter to obtain a short response. In SAR, a moving platform (satellite, aircraft) uses its displacement to form an artificially synthesized aperture, whose length is proportional to the distance traveled, yielding resolution far better than a stationary antenna of real size.
Radar measures the speed of your car, helps airplanes land in fog, and predicts thunderstorms by detecting raindrops hundreds of kilometers away.
The radar installation at the Arecibo Observatory could measure the distance to the Moon with an accuracy of a few centimeters—that's like the thickness of a finger at a distance of 384,000 kilometers.



















