Open AccessExpansion of a high‐frequency time‐harmonic wavefield given on an initial surface into Gaussian beams
Author(s) -
Klimeš L.
Publication year - 1984
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.1984.tb02844.x
Subject(s) - superposition principle , gaussian , harmonic , amplitude , asymptotic expansion , mathematical analysis , parametric statistics , mathematics , surface (topology) , physics , geometry , optics , acoustics , quantum mechanics , statistics
Summary. A high‐frequency asymptotic expansion of a time‐harmonic wavefield given on a curved initial surface into Gaussian beams is determined. The time‐harmonic wavefield is assumed to be specified on the initial surface in terms of a complex‐valued amplitude and a phase. The asymptotic expansion has the form of a two‐parametric integral superposition of Gaussian beams. The expansion corresponds to the relevant ray approximation in all regions, where the ray solution is sufficiently regular (smooth) in effective regions of the beams under consideration.