Open AccessGaussian beams in two‐dimensional elastic inhomogeneous media
Author(s) -
Červen V.,
Pšenčík I.
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.tb03793.x
Subject(s) - gaussian , gaussian beam , scalar (mathematics) , mathematical analysis , physics , amplitude , perpendicular , beam (structure) , classical mechanics , optics , mathematics , geometry , quantum mechanics
Summary. Asymptotic high‐frequency solutions of elastodynamic equations in two‐dimensional laterally inhomogeneous media concentrated close to rays of P ‐ and S ‐waves are investigated. From a physical point of view, these vectorial solutions correspond to Gaussian beams; the amplitude distribution of their principal components is bell‐shaped along the direction perpendicular to the ray. The principal component of the elastodynamic Gaussian beam is controlled by the parabolic equation, which has exactly the same form as the parabolic equation for scalar Gaussian beams. The elastodynamic Gaussian beams are regular everywhere, including caustics.