General Reflectance

Chapter Contents:

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Let denote a general impedance. Then the wave variable decomposition in (L.8) gives

$\displaystyle F(s)$	$\displaystyle =$	$\displaystyle R(s) V(s)$	(L.14)
$\displaystyle \,\,\Rightarrow\,\,F^{+}(s) + F^{-}(s)$	$\displaystyle =$	$\displaystyle R(s) \left[V^{+}(s) + V^{-}(s)\right]$	(L.15)
	$\displaystyle =$	$\displaystyle R(s) \left[\frac{F^{+}(s) - F^{-}(s)}{R_0}\right]$	(L.16)
$\displaystyle \,\,\Rightarrow\,\,F^{-}(s) \left[\frac{R(s)}{R_0}+1\right]$	$\displaystyle =$	$\displaystyle F^{+}(s) \left[\frac{R(s)}{R_0}-1\right]$	(L.17)
$\displaystyle \,\,\Rightarrow\,\,F^{-}(s)$	$\displaystyle =$	$\displaystyle F^{+}(s) \left[\frac{R(s)-R_0}{R(s)+R_0}\right]$	(L.18)
	$\displaystyle \isdef$	$\displaystyle F^{+}(s) S(s)$	(L.19)