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Mismatch loss : ウィキペディア英語版
Mismatch loss
Mismatch loss in transmission line theory is the amount of power expressed in decibels that will not be available on the output due to impedance mismatches and signal reflections. A transmission line that is properly terminated, that is, terminated with the same impedance as that of the characteristic impedance of the transmission line, will have no reflections and therefore no mismatch loss. Mismatch loss represents the amount of power wasted in the system. It can also be thought of as the amount of power gained if the system was perfectly matched. Impedance matching is an important part of RF system design; however, in practice there will likely be some degree of mismatch loss.〔Daniels, David J. (2004). Ground penetrating radar (2nd Edition). Institution of Engineering and Technology. ISBN 978-0-86341-360-5〕 In real systems, relatively little loss is due to mismatch loss and is often on the order of 1dB.
== Calculation ==
Mismatch loss (ML) is the ratio of incident power to the difference between incident and reflected power:
:
ML_\mathrm = 10 \log_ \bigg(\frac\bigg) \,

:
P_r=P_i - P_d\,

where
P_i = incident power

P_r = reflected power

P_d = delivered power (also called the ''accepted power'')
The fraction of incident power delivered to the load is
:
\frac=1-\rho^2



where
\rho 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 = - 10 \log_ \bigg(1-\rho^2\bigg) \,

In terms of the voltage standing wave ratio (VSWR):
:
ML_\mathrm = - 10 \log_ \bigg(1-\bigg(\frac\bigg)^2\bigg) \,

〔Lo YT and Lee SW 1988 Antenna handbook: Theory, Applications, and Design〕

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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