Radar Power to Maximum Range Converter

This converter allows you to calculate the maximum range of a radar from the output power, the antenna gain, the frequency, the radar cross section and the minimum detectable signal. It provides a realistic estimate of the distance at which an object can be detected, useful for planning and analyzing radar systems.

Formula

R = ((Pt × σ × c² × G²) / ((4 × π)³ × f₀² × Pmin))^(1/4)

Explanation of the formula

The formula uses the transmitted power Pt, the antenna gain G, the working frequency f₀, the effective section σ of the target and the minimum signal Pmin. The speed of light c allows us to relate frequency to wavelength. We first calculate the numerator to denominator ratio, then we take the fourth root to obtain the range R in meters.

Uses

  • Evaluate the maximum detection distance of a radar for different types of targets.
  • Compare the performance of different antennas and transmitting powers.
  • Plan radar coverage and security in surveillance systems.
  • Optimize radar parameters based on operational conditions and detection requirements.