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Reflection Coefficient from Impedance

Reflection Coefficient from Impedance

The reflection coefficient is a fundamental quantity in RF engineering that describes how much of an incident wave is reflected due to impedance mismatch. This is the starting point for Smith chart analysis and matching network design.

Γ=ZL−Z0ZL+Z0\Gamma = \frac{Z_L - Z_0}{Z_L + Z_0}

Alternative Forms

Normalized Form
Γ=z−1z+1\Gamma = \frac{z - 1}{z + 1}
Using normalized impedance z = Z_L/Z_0
From Admittance
Γ=Y0−YLY0+YL\Gamma = \frac{Y_0 - Y_L}{Y_0 + Y_L}
Using admittance instead of impedance

Input Variables

Ω

Impedance being connected (real part only for this calc)(Range: 1 – 1000 Ω)

Ω

Impedance of the transmission line(Range: 1 – 1000 Ω)

Results

Reflection Coefficient (Γ)
—
Voltage Standing Wave Ratio (VSWR)
—
Return Loss (RL)
—

📖 Example: 75Ω to 50Ω Mismatch

Calculate reflection when connecting 75Ω antenna to 50Ω system