Open AccessSymmetries in the reflection and transmission of elastic waves
Author(s) -
Kennett B. L. N.,
Kerry N. J.,
Woodhouse J. H.
Publication year - 1978
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.1978.tb04230.x
Subject(s) - reflection (computer programming) , homogeneous space , transmission (telecommunications) , symmetry (geometry) , plane (geometry) , physics , plane wave , optics , mathematical analysis , classical mechanics , geology , geometry , mathematics , computer science , telecommunications , programming language
Summary. The symmetry relations between the reflection and transmission coefficients for plane elastic waves incident upon an arbitrary horizontally stratified medium are derived by a novel approach. Previous results, particularly for a single interface, are obtained as special cases of this treatment. In addition, for perfectly elastic media, projection operators for travelling and evanescent waves are introduced and used to derive a number of new relationships between the reflection and transmission coefficients.