RCS From Power Ratio

Compute radar cross section from the received power via the radar range equation sigma = Pr x (4pi)^3 x R^4 / (Pt x G^2 x lambda^2).

Description

Compute radar cross section from the received power via the radar range equation sigma = Pr x (4pi)^3 x R^4 / (Pt x G^2 x lambda^2).

RCS From Power Ratio: Compute radar cross section from the received power via the radar range equation sigma = Pr x (4pi)^3 x R^4 / (Pt x G^2 x lambda^2).

When to use RCS From Power Ratio

Use this electronics calculation for a first-pass component, converter, signal, motor, or sensor estimate when the stated operating conditions and units match the device data.

Received power (W)
Required number input.
Transmit power (W)
Required number input.
Antenna gain
Required number input.
Range (m)
Required number input.
Wavelength (m)
Required number input.

How RCS From Power Ratio works

Compute radar cross section from the received power via the radar range equation sigma = Pr x (4pi)^3 x R^4 / (Pt x G^2 x lambda^2). The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1

Radar cross section (m²)
The resulting radar cross section returned as a number.

Limitations and assumptions

  • Radar range, received power, Doppler, cross section, and pulse-compression formulas depend on target aspect and fluctuation, waveform, antenna pattern, propagation, clutter, losses, noise figure, integration, detection probability, and false-alarm criterion. A nominal RCS is not constant across frequency or view angle.
  • Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Alternative or Complementary approaches

Check the result against the current datasheet and worst-case operating corners, then verify the circuit or measurement with simulation and bench testing where failure matters.

References

  1. Radar — Wikipedia contributors

Similar or alternative tools

  • RCS From Received Power

    Solve the radar equation for target cross section rcsM2 = Prx * (4*pi)^3 * R^4 / (Ptx * G^2 * lambda^2) with all linear units.

  • Radar Received Power

    Compute monostatic radar received power via the radar range equation with (4 x pi)^3 approximated by 1984.4017.

  • Friis Received Power

    Calculate received power for a line-of-sight link using the Friis transmission equation.

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