Abstract
The evolution of the surface Green function matching (SGFM) method is reviewed in relation to the experimental and computational developments which influenced its evolution or changed its scope. Starting with electronic surface, interface states, the theory is extended to arbitrary elementary excitations. The other extension of the formalism is from continuous to discrete media. Finally, the extension from single to multiple interfaces provides a way of dealing with the new layered systems, e.g., quantum wells and superlattices.
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