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Simple Green function formulation of n-interface problem

1980; IOP Publishing; Volume: 13; Issue: 6 Linguagem: Inglês

10.1088/0022-3719/13/6/025

1747-3802

H. Ueba, S.G. Davison,

Chemical and Physical Properties of Materials

A simple one-dimensional reformulation of earlier treatments of the factorisation method is initially described. This method, which has proved so useful and versatile in enabling interface Green functions to be calculated for a variety of one and two interface problems, is then generalised to the n-interface case. In essence, the extension to the multiple-interface situation is based on the knowledge obtained in studying the simpler single- and double-interface systems. The so-called linkage Green function is the key to obtaining the closed form of the n-interface Green function by way of an iterative procedure.