Open AccessDiscretization error for the superposition of Gaussian beams
Author(s) -
Klimeš Luděk
Publication year - 1986
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.1986.tb03842.x
Subject(s) - superposition principle , discretization , gaussian , mathematics , harmonic , discretization error , mathematical analysis , gaussian beam , gaussian process , gaussian integral , gaussian random field , physics , acoustics , quantum mechanics
Summary. A high‐frequency asymptotic integral expansion of a time‐harmonic wavefield into Gaussian beams was derived in a previous paper by Klimeš. The discretization error caused by replacing this integral superposition by a discrete summation of Gaussian beams is estimated in this paper.