Mode mapping in paraxial lossless optics

T. Alieva, M.J. Bastiaans

Research output: Contribution to journalArticleAcademicpeer-review

26 Citations (Scopus)

Abstract

Under the Collins transformation, the orthonormal set of Hermite-Gaussian modes maps into an orthonormal set of beams with a Gaussian envelope. Among them are the Laguerre-Gaussian beams and the recently introduced Hermite-Laguerre-Gaussian beams. Compact expressions for the complex field amplitudes of these modes are derived. The obtained results are useful for the description of light propagation through first-order optical systems, for the solution of the phase retrieval problem by non-interferometric techniques, and for the design of mode converters and information processing systems.
Original languageEnglish
Pages (from-to)1461-1463
Number of pages3
JournalOptics Letters
Volume30
Issue number12
DOIs
Publication statusPublished - 2005

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