Relations and Orthogonality Properties for the Generalized Gaussian Beam Functions
Summary :
In this letter, the relations between the generalized beams with the different parameters are investigated by using the formula for the Hermite polynomials and that for the generalized Laguerre polynomials. The adjoint functions for the generalized Laguerre-Gaussian beam functions are also derived concretely. It is shown that the generalized beam is represented by a finite number of another generalized beam with the different parameter.
- Publication
- IEICE TRANSACTIONS on Electronics Vol.E74-C No.9 pp.2935-2937
- Publication Date
- 1991/09/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section LETTER (Special Issue on OFSET '90)
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Mitsuhiro YOKOTA, Shinji AONO, Otozo FUKUMITSU, "Relations and Orthogonality Properties for the Generalized Gaussian Beam Functions" in IEICE TRANSACTIONS on Electronics,
vol. E74-C, no. 9, pp. 2935-2937, September 1991, doi: .
Abstract: In this letter, the relations between the generalized beams with the different parameters are investigated by using the formula for the Hermite polynomials and that for the generalized Laguerre polynomials. The adjoint functions for the generalized Laguerre-Gaussian beam functions are also derived concretely. It is shown that the generalized beam is represented by a finite number of another generalized beam with the different parameter.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e74-c_9_2935/_p
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@ARTICLE{e74-c_9_2935,
author={Mitsuhiro YOKOTA, Shinji AONO, Otozo FUKUMITSU, },
journal={IEICE TRANSACTIONS on Electronics},
title={Relations and Orthogonality Properties for the Generalized Gaussian Beam Functions},
year={1991},
volume={E74-C},
number={9},
pages={2935-2937},
abstract={In this letter, the relations between the generalized beams with the different parameters are investigated by using the formula for the Hermite polynomials and that for the generalized Laguerre polynomials. The adjoint functions for the generalized Laguerre-Gaussian beam functions are also derived concretely. It is shown that the generalized beam is represented by a finite number of another generalized beam with the different parameter.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - Relations and Orthogonality Properties for the Generalized Gaussian Beam Functions
T2 - IEICE TRANSACTIONS on Electronics
SP - 2935
EP - 2937
AU - Mitsuhiro YOKOTA
AU - Shinji AONO
AU - Otozo FUKUMITSU
PY - 1991
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E74-C
IS - 9
JA - IEICE TRANSACTIONS on Electronics
Y1 - September 1991
AB - In this letter, the relations between the generalized beams with the different parameters are investigated by using the formula for the Hermite polynomials and that for the generalized Laguerre polynomials. The adjoint functions for the generalized Laguerre-Gaussian beam functions are also derived concretely. It is shown that the generalized beam is represented by a finite number of another generalized beam with the different parameter.
ER -
English
