Impedance (R + jX) ↔ Reflection Coefficient (Γ)
Paste one or more lines (Excel OK). Each line can be R X (ohms) or Re(Γ) Im(Γ) depending on input type. Blank line separates sets. Outputs include Re(Γ), Im(Γ), |Γ|, VSWR, and Return Loss.
Re(Γ)—
Im(Γ)—
|Γ|—
VSWR—
Return Loss (dB)—
Impedance (Ω)—
Table
| Set | # | R (Ω) | X (Ω) | Re(Γ) | Im(Γ) | |Γ| | VSWR | RL (dB) |
|---|
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Formulas
- Normalize impedance: z = Z / Z0
- Reflection coefficient: Γ = (z − 1) / (z + 1)
- Inverse (from Γ): z = (1 + Γ) / (1 − Γ), so Z = Z0 · z
- VSWR = (1 + |Γ|) / (1 − |Γ|), RL(dB) = −20 log10(|Γ|)
Tip: If you already have Re(Γ), Im(Γ) logs (e.g., from VNA or matcher), switch input type to Gamma and paste directly. If you want to plot those points on the Smith Chart tool, make sure the main tool supports Γ-input mode (I’ll give you the patch below).