变换矩阵的两类分解方式和等效性问题

Two Types for Factorizing the Transfer Matrix and Their Equivalence

详细讨论了由Gasperson_(1)和Arsenaulf_(2)分别提出的变换矩阵M分解的一些问题。证明:(1)文献〔幻中光学系统的焦面表示法与 C\ 0时 CasPeroon的一种矩阵分解法等效,(2)对 PCM,可通过引人它的等效变换矩阵M_(PCM,II)来进行矩阵分解。

The problems about factorization of the transfer matrix presented by Caspersonand Arsenaulf respectively, are discussed in detail. It has been shown that(1) the focal-plane representation of optical systems in[2] is equivalent to one of Casperson's factorizationsunder the condition that C?0; (2) for the phase-conjugate mirror (PCM), the matrix factorizati-on can be perf ormed by introducing its equivalent transfer matrix _(PCM,II.)