Compute reflection coefficient, return loss (RL), VSWR and matching efficiency. Essential for RF impedance matching design and analysis.
Reflection Coefficient Γ : (ZL - Z₀) / (ZL + Z₀) |Γ| = |(ZL-Z₀)/(ZL+Z₀)|
Return Loss RL : -20·log10(|Γ|) (dB) VSWR : (1+|Γ|)/(1-|Γ|)
Matching Efficiency η : 1 - |Γ|2 (power transmission coefficient)
In RF and microwave systems, a "reflection attenuator" is not a physical attenuator but describes the signal reflection caused by impedance discontinuity. The reflection coefficient Γ directly measures the reflected wave; return loss (RL) indicates the attenuation of reflected power relative to incident power in dB; VSWR quantifies the standing wave ratio. Good matching means low reflection, high return loss, low VSWR.
Engineering Guidelines:
| Grade | VSWR | Return Loss (dB) | |Γ| | Recommendation |
|---|---|---|---|---|
| Excellent | < 1.1 | > 26.4 | < 0.05 | Ideal, high-precision |
| Good | 1.1 – 1.2 | 20.8 – 26.4 | 0.05 – 0.09 | Most wireless systems |
| Acceptable | 1.2 – 1.5 | 14.0 – 20.8 | 0.09 – 0.20 | Narrowband uses |
| Poor | 1.5 – 2.0 | 9.5 – 14.0 | 0.20 – 0.33 | Matching network recommended |
| Very Poor | > 2.0 | < 9.5 | > 0.33 | Severe reflection, may damage transmitter |
⚠️ Engineering Note: When load impedance ZL = 0 (short) or infinity (open), |Γ|=1, VSWR → ∞, all power reflected. Extreme mismatch should be avoided in practice.