RAYLEIGH WAVES AT THE CONTINENTAL MARGIN
RHODE ISLAND UNIV KINGSTON
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In this report, the first of a series on the analytic continuation of wave functions past discontinuities, the author introduces an elementary procedure for the solution of problems involving the diffraction of vector fields. In particular, the report discusses the propagation of Rayleigh waves incident obliquely upon the continental margin. The crustal layering on either side of the coastline is modeled mathematically as a two-part boundary layer in such a fashion that the relevant reflection and transmission coefficients emerge as elementary algebraic expressions. The procedure that permits such a solution to be found is to introduce a diffraction analogue of the well-known procedure in electrical engineering replace a transmission line network by a lumped parameter equivalent in a specified frequency or wave number domain.