Relations between Hermite and Laguerre Gaussian modes
Year: 1993
Type: article
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
DOI: 10.1109/3.247715
Authors: I. Kimel, L.R. Elias
Institution: University of Central Florida
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2149724322
