Open AccessThe passage of elastic waves through an anomalous region ‐ IV. Transmission of Love waves through a laterally varying structure
Author(s) -
Hudson J. A.
Publication year - 1977
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.1977.tb01309.x
Subject(s) - reflection (computer programming) , love wave , plane wave , plane (geometry) , physics , longitudinal wave , transmission (telecommunications) , displacement (psychology) , mechanical wave , simplicity , wave propagation , seismic wave , transverse plane , plane of incidence , classical mechanics , mathematical analysis , optics , geometry , mathematics , geophysics , telecommunications , quantum mechanics , computer science , engineering , psychology , structural engineering , psychotherapist , programming language
Summary Earlier papers by the present author and E. R. Lapwood dealt with transmission problems involving plane waves; these problems were essentially onedimensional in form. In the following paper I consider the problem of Love waves normally incident upon a structure which varies in the direction of travel of the wave. To achieve as much simplicity as possible, the structure is assumed to be uniform in a direction transverse to the plane of incidence so that the problem is two‐dimensional (anti‐plane strain). The Schwinger–Levine method is used to construct stationary functionals of the displacement function for transmission and reflection ratios of the separate modes and far‐field body‐wave radiation.