关于复归一化反射系数不变性定理

On the Theorem of?Invariance in the Complex-Normalized Reflection Coefficients

本文通过对给定阻抗的Darlington等效网络的单位归一化散射矩阵的研究,提出了一个n端口网络对n个非Foster正实阻抗复归一化散射矩阵和其增广网络单位归一化散射矩阵之间的关系,这里Darlington等效网络是互易的,也可以是非互易的。从而进一步证明了Carlin-Yarman复归一化反射系数不变性定理是不正确的。

By studying the unit-normalized scattering matrix of the Darlington representation of a given impedance, in the paper we present a general expression relating the complex-normalized scattering matrix of the n-port network to that of its augmented n-port network normalizing to the n 1-ohm resistances, where the Darlington equivalent network may either be reciprocal or nonreciprocal, thereby clarifying the differences among the scattering matrices normalized to different impedances.