Open AccessApplication of the Gaussian beam method to elasticity theory
Author(s) -
Katchalov A. P.,
Popov M. M.
Publication year - 1985
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.1985.tb01359.x
Subject(s) - caustic (mathematics) , gaussian , gaussian beam , computation , beam (structure) , scalar (mathematics) , range (aeronautics) , elasticity (physics) , wave propagation , physics , mathematical analysis , mathematics , optics , geometry , algorithm , materials science , quantum mechanics , composite material , thermodynamics
Summary The Gaussian beam method is applied to different model problems of elastodynamic wave propagation. It is shown that the method is as effective for the computation of elastic wavefields as for scalar problems and may be used for the same frequencies and distances from a source as the ray method. It is found that about 30 Gaussian beams must be summed up to obtain satisfactory results for a wide range of frequencies and distances from a source and the number of beams does not depend on the geometric structure of a caustic.