Abstract
The surface Green's-function matching (SGFM) method for discrete systems is extended to the case of arbitrary multilayer structures, so that matching is simultaneously effected at an arbitrary number N of interfaces. In this way all the SGFM formulas are obtained in a compact 2 N × 2 N supermatrix form, ready for practical calculations. As an illustration, the vibrational properties of multilayer one-dimensional systems are considered.
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