Title

Relations Between Hermite And Laguerre Gaussian Modes

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. © 1993 IEEE

Publication Date

1-1-1993

Publication Title

IEEE Journal of Quantum Electronics

Volume

29

Issue

9

Number of Pages

2562-2567

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/3.247715

Socpus ID

0027663141 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0027663141

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