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

C.S. Antonopoulos (Aristotle University of Thessaloniki, School of Electrical and Computer Engineering, Thessaloniki, Greece)
Em.E. Kriezis (University of Oxford, Department of Engineering Science, Oxford, UK)
E.E. Kriezis (Aristotle University of Thessaloniki, School of Electrical and Computer Engineering, Thessaloniki, Greece)

Abstract

The path integral analysis has been used to examine the propagation of a Gaussian 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. Full analytical equations have been given in both cases and results have been taken in the same spatial coordinates in order to facilitate comparisons. No numerical instabilities have been observed and the method seems to be quite tractable and easily extended in spaces with more that one obstacle.

Keywords

Citation

Antonopoulos, C., Kriezis, E. and Kriezis, E. (2000), "Path integral analysis for Gaussian beam propagation over non‐penetrable obstacles", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 19 No. 4, pp. 987-996. https://doi.org/10.1108/03321640010347411

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MCB UP Ltd

Copyright © 2000, MCB UP Limited

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