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

M.J. Bastiaans, T. Alieva

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Abstract

Based on the common Hermite-Gaussian modes, a general class of orthonormal sets of 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-Gaussian-type modes, when they propagate through first-order optical systems. A propagation law for the generating function is formulated.
Original languageEnglish
Pages (from-to)1107-1112
Number of pages6
JournalOptics Express
Volume13
Issue number4
DOIs
Publication statusPublished - 2005

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abstract = "Based on the common Hermite-Gaussian modes, a general class of orthonormal sets of 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-Gaussian-type modes, when they propagate through first-order optical systems. A propagation law for the generating function is formulated.",
author = "M.J. Bastiaans and T. Alieva",
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Propagation law for the generating function of Hermite-Gaussian-type modes in first-order optical systems. / Bastiaans, M.J.; Alieva, T.

In: Optics Express, Vol. 13, No. 4, 2005, p. 1107-1112.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Alieva, T.

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AB - Based on the common Hermite-Gaussian modes, a general class of orthonormal sets of 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-Gaussian-type modes, when they propagate through first-order optical systems. A propagation law for the generating function is formulated.

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DO - 10.1364/OPEX.13.001107

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