Open AccessPropagation law for the generating function of Hermite-Gaussian-type modes in first-order optical systems
Author(s) -
MJ Martin Bastiaans,
Tatiana Alieva
Publication year - 2005
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/opex.13.001107
Subject(s) - hermite polynomials , orthonormal basis , gaussian , physics , function (biology) , type (biology) , optics , statistical physics , mathematical analysis , mathematics , quantum mechanics , ecology , evolutionary biology , biology
Based on the common Hermite-Gaussian modes, a general class of orthonormal Hermite-Gaussian-type modes is introduced. Such modes can most easily be defined by means of their generating function. It is shown that these modes remain in their class of orthonormal Hermite-Gaussiantype modes, when they propagate through first-order optical systems. A propagation law for the generating function is formulated.