03 — Radar Fundamentals
From the pulse out to the blip.
My first job in engineering was an apprenticeship at QinetiQ Aberporth, where radar tracked aircraft and targets across a weapons test range. This section explains the fundamentals the way I wish someone had explained them to me — plain language, with interactive tools so you can see how the numbers behave.
The basic idea
Shout, then listen for the echo.
The radar transmits a short, powerful burst of radio energy — a pulse — then goes quiet and listens. If the pulse hits something, a tiny fraction reflects back. Radio waves travel about 300 metres every microsecond, and the pulse travels out and back, so every microsecond of echo delay means roughly 150 metres of range. Everything else in radar exists to answer three questions about that echo: how far (timing), which direction (where the antenna was pointing), and how fast (the Doppler shift in the echo's frequency).
The surprise is how faint the echo is. The pulse spreads as it travels, and the reflection spreads again on the way back — so received power falls with the fourth power of range. Double the distance and the echo returns sixteen times weaker. That's why transmitters are measured in kilowatts while receivers strain for millionths of a millionth of a watt, and it's what the range equation is for.
Tools
Radar Range Equation
Predict maximum detection range from power, gain, frequency and target size — and see the R⁴ law bite.
Open → 02Doppler Shift Calculator
Target speed into frequency shift, with an interactive angle diagram showing why geometry matters.
Open → 03PRF & Ambiguity Explorer
Unambiguous range, blind speeds, resolution and duty cycle — with a live pulse-train timing diagram.
Open → 04PPI Display Demo
A working scope: rotating sweep, phosphor afterglow, range rings, and targets you place yourself.
Open →The compromise every radar makes
Send pulses slowly and you see far but judge speed poorly. Send them fast and it flips. There is no free lunch — only PRFs.