Open AccessVector Wave Diffraction at Crustal Discontinuities I. Basic Theory, Rayleigh Waves at the Continental Margin
Author(s) -
Kane Julius
Publication year - 1966
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1966.tb03497.x
Subject(s) - classification of discontinuities , diffraction , rayleigh wave , reflection (computer programming) , geology , analytic continuation , series (stratigraphy) , margin (machine learning) , boundary (topology) , mathematical analysis , geophysics , wave propagation , geometry , optics , physics , mathematics , computer science , machine learning , paleontology , programming language
Summary In this report, the first of a series on the analytic continuation of wave functions past discontinuities, we introduce 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 modelled 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 permitting 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.