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Reflection Coefficient Calculator

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Reflection Coefficient Calculator | Transmission Line Solver
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RESULTS
Γ Reflection Coefficient
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Vref Reflected Voltage
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Input Parameters Specification

Load Impedance (ZL) The electrical impedance terminating the endpoint boundary of the transmission line wire network, measured in Ohms (Ω).
Source Impedance (ZS / Zg) The characteristic or structural source driver internal matching path impedance threshold feeding the transmission system inputs.
Incident Voltage (Vincident) The root-mean-square amplitude (Vrms) of the forward propagation waveform traveling down toward the mismatched termination interface.

Practical Operational Examples

Example 1: Standard RF Cable Mismatch Configuration
• Load Impedance (ZL) = 75.00 Ω | Source Impedance (ZS) = 50.00 Ω
• Forward Incident Voltage (Vincident) = 12.00 Volts (V)
• Calculated Coefficient: 0.200000 | Reflected Voltage Component: 2.400000 V
Example 2: Perfect Impedance Matched Network
• Load Impedance (ZL) = 50.00 Ω | Source Impedance (ZS) = 50.00 Ω
• Forward Incident Voltage (Vincident) = 5.00 Volts (V)
• Calculated Coefficient: 0.000000 (Zero Wave Reflections) | Reflected Voltage: 0.00 V

Transmission Line Wave Reflection Schema

The vector model details forward Vincident wave propagation encountering an immediate boundary step change down the line path width.

Vg Zg + - Vin Iin l Z = -l Z = 0 ZL IL + - VL Γin, Zin ΓL, ZL

Formulas & Mathematical Logic

Voltage Reflection Coefficient (Gamma Formula):
Γ = (ZL - ZS) / (ZL + ZS)
Reflected Backward Voltage Wave Amplitude (Vreflected):
Vref = Γ * Vincident

The voltage reflection coefficient tracks the specific complex amplitude boundary step ratio between incoming incident waves and resulting backward reflected echo energy waves triggered directly by network impedance mismatches.

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About this tool

Reflection Coefficient Calculator is a free online calculator tool. Use it to get instant, accurate results for your electronics calculations.