Title

Relations Between Hermite And Laguerre Gaussian Modes

Title - Alternative

IEEE J. Quantum Electron.

Keywords

Engineering, Electrical & Electronic; Optics; Physics, Applied

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.

Publication Title

Ieee Journal of Quantum Electronics

Volume

29

Issue/Number

9

Publication Date

1-1-1993

Document Type

Article

Language

English

First Page

2562

Last Page

2567

WOS Identifier

WOS:A1993MM21500017

ISSN

0018-9197

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