Mismatch Loss - Calculation

Calculation

Mismatch loss (ML) is the ratio of incident power to the difference between incident and reflected power:

$ML_\mathrm{dB} = 10 \log_{10} \bigg(\frac{P_i}{P_i-P_r}\bigg) \,$

$P_r=P_i - P_d\,$

where

= incident power
= reflected power
= delivered power (also called the accepted power)

The fraction of incident power delivered to the load is

$\frac{P_d}{P_i}=1-\rho^2$

where is the magnitude of the reflection coefficient. Note that as the reflection coefficient approaches zero, power to the load is maximized.

If the reflection coefficient is known, mismatch can be calculated by

$ML_\mathrm{dB} = - 10 \log_{10} \bigg(1-\rho^2\bigg) \,$

In terms of the voltage standing wave ratio (VSWR):

$ML_\mathrm{dB} = - 10 \log_{10} \bigg(1-\bigg(\frac{VSWR-1}{VSWR+1}\bigg)^2\bigg) \,$

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