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.

Description

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

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.

When to use RCS From Received Power

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)
Received echo power.
Transmit Power (W)
Transmitted peak power.
Range (m)
Range to the target.
Antenna Gain
Antenna gain, linear.
Wavelength (m)
Operating wavelength.

How RCS From Received Power works

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

RCS (m^2)
Estimated radar cross section.

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 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).

  • Radar Received Power

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

  • Effective Aperture

    Compute the antenna effective aperture in square meters as Ae = lambda^2 x G / (4 x pi); wavelength and linear gain must be positive.

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