DocumentCode
978366
Title
Relations between Hermite and Laguerre Gaussian modes
Author
Kimel, Isidoro ; Elias, Luis R.
Author_Institution
Dept. of Phys., Univ. of Central Florida, Orlando, FL, USA
Volume
29
Issue
9
fYear
1993
fDate
9/1/1993 12:00:00 AM
Firstpage
2562
Lastpage
2567
Abstract
Relations between Hermite (HG) and Laguerre (LG) Gaussian modes are derived. With these, a LG mode is written as a sum of HG modes, and vice versa. These mode relations are derived from addition identities between a Laguerre polynomial and a pair of Hermite polynomials. The addition relations are derived in two appendices. One figure illustrates the contents of a LG mode in terms of HG modes while a second figure shows the translation in the opposite direction
Keywords
laser modes; laser theory; polynomials; Hermite Gaussian modes; Hermite polynomials; Laguerre Gaussian modes; Laguerre polynomial; addition relations; laser modes; laser theory; Apertures; Diffraction; Geometrical optics; Geometry; Laser modes; Mercury (metals); Physics; Polynomials;
fLanguage
English
Journal_Title
Quantum Electronics, IEEE Journal of
Publisher
ieee
ISSN
0018-9197
Type
jour
DOI
10.1109/3.247715
Filename
247715
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