Mismatch Loss Calculator

Calculate Mismatch Loss

Formula

To calculate the mismatch loss (\(ML\)):

\[ ML = 10 \times \log_{10}\left(1 - \left(\frac{VSWR - 1}{VSWR + 1}\right)^2\right) \]

Where:

What is Mismatch Loss?

Mismatch loss occurs when there is an impedance mismatch in the transmission line, which leads to a portion of the transmitted power being reflected back towards the source. This loss is expressed in decibels (dB) and can be calculated using the voltage standing wave ratio (VSWR), which is a measure of how well the transmission line is matched to its load.

Example Calculation 1

Let's assume the following value:

Using the formula:

\[ ML = 10 \times \log_{10}\left(1 - \left(\frac{2 - 1}{2 + 1}\right)^2\right) = 10 \times \log_{10}(1 - 0.1111) = 10 \times \log_{10}(0.8889) = -0.51 \text{ dB} \]

The mismatch loss is -0.51 dB.

Example Calculation 2

Let's assume the following value:

Using the formula:

\[ ML = 10 \times \log_{10}\left(1 - \left(\frac{1.5 - 1}{1.5 + 1}\right)^2\right) = 10 \times \log_{10}(1 - 0.04) = 10 \times \log_{10}(0.96) = -0.18 \text{ dB} \]

The mismatch loss is -0.18 dB.