RF radar range equation worksheet calculator

Calculate ideal monostatic echo power and ideal echo power with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use ideal monostatic echo power and ideal echo power to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Transmitted power (W)
1000
Transmit linear gain
100
Receive linear gain
100
Wavelength (m)
0.03
Target radar cross section (m²)
1
Target range (m)
10000
Ideal monostatic echo power (W)
0
Ideal echo power (dBm)
-123.433871

Try another scenario

Transmitted power (W)
1100
Transmit linear gain
100
Receive linear gain
100
Wavelength (m)
0.03
Target radar cross section (m²)
1
Target range (m)
10000
Ideal monostatic echo power (W)
0
Ideal echo power (dBm)
-123.019944
Calculation method

Calculation method

Ideal monostatic echo power (W)

Pt Gt Gr wavelength² cross-section / ((4pi)³ range⁴), no losses or clutter.

Ideal echo power (dBm)

10 log10(power W×1000).

Symbols and units
a
Transmitted power (W)
b
Transmit linear gain
c
Receive linear gain
d
Wavelength (m)
e
Target radar cross section (m²)
f
Target range (m)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Transmit power, gains, wavelength, target cross-section, range. Returns Ideal received echo power. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Transmitted power (W): minimum 1e-12, maximum 1000000000000.0. Transmit linear gain: minimum 1e-12, maximum 1000000000000.0. Receive linear gain: minimum 1e-12, maximum 1000000000000.0. Wavelength (m): minimum 1e-12, maximum 1000000000000.0. Target radar cross section (m²): minimum 1e-12, maximum 1000000000000.0. Target range (m): minimum 1e-12, maximum 1000000000000.0.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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