Propagation law for the generating function of Hermite-Gaussian-type modes in first-order optical systems | Zendy

Martin J. Bastiaans | Zendy; Tatiana Alieva | Zendy

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Propagation law for the generating function of Hermite-Gaussian-type modes in first-order optical systems

Author(s) -

Martin J. 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.

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