Reflection Coefficient Calculator

Enter your Characteristic Impedance (Z₀) and Load Impedance — split into its Real Part (R) and Imaginary Part (X) — and the Reflection Coefficient Calculator works out your Reflection Coefficient Magnitude |Γ|, along with Phase, VSWR, and Return Loss, so you can see exactly how much signal is bouncing back from your load.

Ω

Impedance of the transmission line

Ω

Real part of load impedance

Ω

Imaginary part of load impedance (reactive component)

Results

Reflection Coefficient Magnitude |Γ|

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Reflection Coefficient Phase

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VSWR

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Return Loss

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RF Power Distribution

Frequently Asked Questions

What is a reflection coefficient?

The reflection coefficient (Γ) is the ratio of the reflected wave amplitude to the incident wave amplitude at a point of impedance discontinuity. It ranges from -1 to +1 and indicates how much of the signal is reflected back.

How is reflection coefficient related to VSWR?

VSWR (Voltage Standing Wave Ratio) is calculated as (1 + |Γ|) / (1 - |Γ|). A perfect match has Γ = 0 and VSWR = 1, while complete reflection has |Γ| = 1 and VSWR = ∞.

What does return loss mean in RF applications?

Return loss is the negative of the reflection coefficient expressed in decibels: RL = -20 × log₁₀(|Γ|). Higher return loss values indicate better impedance matching and less reflected power.

Why is 50 ohms commonly used as characteristic impedance?

50 ohms is a standard characteristic impedance that provides a good balance between power handling capability and signal loss for coaxial cables and RF systems.

What happens when load impedance equals characteristic impedance?

When ZL = Z₀, there is perfect impedance matching. The reflection coefficient equals zero, VSWR equals 1, and return loss approaches infinity - meaning no power is reflected.

How do you interpret the phase of the reflection coefficient?

The phase angle indicates the phase shift of the reflected wave relative to the incident wave. It depends on both the magnitude and nature (capacitive or inductive) of the impedance mismatch.

What is considered acceptable VSWR in RF systems?

Generally, VSWR < 2:1 is considered good (return loss > 9.5 dB), while VSWR < 1.5:1 is excellent (return loss > 14 dB). The acceptable level depends on the specific application requirements.

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