NDLI: Approximate Expansion of a Narrow Gaussian Beam in Spherical Vector Wave Functions

Content Provider	IEEE Xplore Digital Library
Author	Gardner, J.S.
Copyright Year	1963
Description	The expansion of electromagnetic sources is fundamental to the analysis of field propagation and scattering. Of these electromagnetic sources, one of the most commonly used optical sources is the narrow Gaussian beam. It is, therefore, useful to find an expansion of the narrow Gaussian beam that could be used in applications such as scattering and propagation studies in free-space and materials. The approximate method of expansion here is based on an exact expansion that was obtained for a vector plane wave in terms of spherical vector wave functions. Since the simpler vector plane wave representation that previously enabled an exact solution is replaced here by the more complicated narrow Gaussian beam representation, an approximation of the associated Legendre function will be applied in order to obtain an approximate expansion of a narrow Gaussian beam in terms of spherical vector wave functions. Although the expansion is taken about the source point, field points close to the beam axis located at distances near and far from the source are found to have good accuracy.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	3172
Ending Page	3177
Page Count	6
File Size	500835
File Format	PDF
ISSN	0018926X
Volume Number	55
Issue Number	11
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-11-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wave functions Electromagnetic scattering Optical scattering Apertures Electromagnetic propagation Equations Beams Optical propagation Fourier transforms Electromagnetic fields vector plane wave Associated Legendre function asymptotic expansion Bessel function convergence expansion Gaussian beam spherical vector wave functions
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

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