Open AccessComputation of wave fields in inhomogeneous media — Gaussian beam approach
Author(s) -
Červený V.,
Popov M. M.,
Pšenčík I.
Publication year - 1982
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.1982.tb06394.x
Subject(s) - caustic (mathematics) , superposition principle , computation , gaussian , gaussian beam , beam (structure) , wavefront , physics , neighbourhood (mathematics) , field (mathematics) , mathematical analysis , mathematics , optics , quantum mechanics , algorithm , pure mathematics
Summary. An asymptotic procedure for the computation of wave fields in two‐dimensional laterally inhomogeneous media is proposed. It is based on the simulation of the wave field by a system of Gaussian beams. Each beam is continued independently through an arbitrary inhomogeneous structure. The complete wave field at a receiver is then obtained as an integral superposition of all Gaussian beams arriving in some neighbourhood of the receiver. The corresponding integral formula is valid even in various singular regions where the ray method fails (the vicinity of caustic, critical point, etc.). Numerical examples are given.