Mode mapping in paraxial lossless optics

T. Alieva, M.J. Bastiaans

Research output: Contribution to journalArticleAcademicpeer-review

24 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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Alieva, T. ; Bastiaans, M.J. / Mode mapping in paraxial lossless optics. In: Optics Letters. 2005 ; Vol. 30, No. 12. pp. 1461-1463.
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Mode mapping in paraxial lossless optics. / Alieva, T.; Bastiaans, M.J.

In: Optics Letters, Vol. 30, No. 12, 2005, p. 1461-1463.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Alieva, T.

AU - Bastiaans, M.J.

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AB - 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.

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