RF impedance reflection coefficient calculator

Calculate complex voltage reflection coefficient and reflection magnitude with your own figures.

Your numbers

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

Use complex voltage reflection coefficient and reflection magnitude to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Load resistance (ohms)
75
Load reactance (ohms)
25
Reference resistance (ohms)
50
Reference reactance (ohms)
0
Complex voltage reflection coefficient
[0.230769230769,0.153846153846]
Reflection magnitude
0.27735
Reflection phase (degrees)
33.690068

Try another scenario

Load resistance (ohms)
82.5
Load reactance (ohms)
25
Reference resistance (ohms)
50
Reference reactance (ohms)
0
Complex voltage reflection coefficient
[0.271227225851,0.137504297009]
Reflection magnitude
0.304091
Reflection phase (degrees)
26.88368
Calculation method

Calculation method

Complex voltage reflection coefficient

(Zload−Zref)/(Zload+Zref); complex voltage-wave convention, not power-wave conjugation.

Reflection magnitude

Complex coefficient magnitude.

Reflection phase (degrees)

atan2(imaginary,real).

Symbols and units
a
Load resistance (ohms)
b
Load reactance (ohms)
c
Reference resistance (ohms)
d
Reference reactance (ohms)

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

  • Load and reference complex impedances. Returns Reflection magnitude-phase. 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. Load resistance (ohms): minimum 1e-12, maximum 1000000000000.0. Load reactance (ohms): minimum None, maximum 1000000000000.0. Reference resistance (ohms): minimum 1e-12, maximum 1000000000000.0. Reference reactance (ohms): minimum None, 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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