Generating function for Hermite-Gaussian modes propagating through first-order optical systems

M.J. Bastiaans, T. Alieva

Research output: Contribution to journalArticleAcademicpeer-review

10 Citations (Scopus)

Abstract

We consider the field that appears at the output of a first-order optical system when its input field is a Hermite-Gaussian mode. The generating function for the output modes is determined. The orthonormality property of the output modes is confirmed, and derivative and recurrence relations for these modes are derived. Mode converters that generate Laguerre-Gaussian and Hermite-Laguerre-Gaussian modes are considered as examples.
Original languageEnglish
Pages (from-to)L73-L78
Number of pages6
JournalJournal of Physics A: Mathematical and General
Volume38
Issue number6
DOIs
Publication statusPublished - 2005

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