Path integral analysis for Gaussian beam propagation over non-penetrable obstacles

Authors
Antonopoulos, CS Kriezis, EE Kriezis, EE
Citation
Cs. Antonopoulos et al., Path integral analysis for Gaussian beam propagation over non-penetrable obstacles, COMPEL, 19(4), 2000, pp. 987-996
Citations number
8
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING
ISSN journal
03321649 → ACNP
Volume
19
Issue
4
Year of publication
2000
Pages
987 - 996
Database
ISI
SICI code
0332-1649(2000)19:4<987:PIAFGB>2.0.ZU;2-Z
Abstract
The path integral analysis has been used to examine the propagation of a Ga ussian beam in two cases. First in free space and second in a space with a non-penetrable obstacle, placed parallel to the direction of propagation. F ull analytical equations have been given in both cases and results have bee n taken in the same spatial coordinates in order to facilitate comparisons No numerical instabilities have been observed and the method seems to be qu ite tractable and easily extended in spaces with more that one obstacle.