Open AccessP‐SV interaction in layered media
Author(s) -
Young R. M.
Publication year - 1983
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.1983.tb01892.x
Subject(s) - limit (mathematics) , matrix (chemical analysis) , mathematical analysis , coupling (piping) , physics , wave vector , plane wave , wave equation , plane (geometry) , mathematics , geometry , optics , materials science , composite material , metallurgy
Summary. In plane or spherically layered media the interaction between P and S wave types is conventionally studied by assembling a linear combination of (transformed) displacements and tractions into a 4 or 6 component wave vector . This vector satisfies a first‐order matrix differential equation which decouples in the high‐frequency limit into P and S subsystems. At one lower order of frequency the interaction matrix introduces coupling between the wave types. In this paper the high‐frequency decoupling is emphasized by constructing a new wave vector from the displacements and their derivatives such that the resulting matrix system is decoupled to a greater extent. Examples are given of exact solutions which are decoupled in terms of the new wave vector but not in terms of the conventional one.