Open AccessSpectral representation of the Love wave operator
Author(s) -
Kazi M. H.
Publication year - 1976
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.1976.tb01271.x
Subject(s) - eigenfunction , monochromatic electromagnetic plane wave , operator (biology) , monochromatic color , rigidity (electromagnetism) , mathematical analysis , mathematics , representation (politics) , displacement (psychology) , geometry , classical mechanics , physics , optics , eigenvalues and eigenvectors , quantum mechanics , psychology , biochemistry , chemistry , repressor , politics , political science , transcription factor , psychotherapist , law , gene
Summary This paper is concerned with the spectral representation of the two‐dimensional Love wave operator, associated with the propagation of monochromatic SH waves in a laterally uniform layered strip or half‐space. A method is presented for obtaining a complete set of proper or improper eigenfunctions belonging to the operator, in terms of which the displacement field may be represented generally. The method is illustrated by means of two‐layer models of an infinite strip, overlying another infinite strip or a half‐space, with constant rigidity and density within each layer.