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Mode mapping in paraxial lossless optics
Author(s) -
Tatiana Alieva,
Martin J. Bastiaans
Publication year - 2005
Publication title -
optics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.524
H-Index - 272
eISSN - 1071-2763
pISSN - 0146-9592
DOI - 10.1364/ol.30.001461
Subject(s) - paraxial approximation , optics , orthonormal basis , physics , gaussian , hermite polynomials , laguerre polynomials , orthonormality , quantum mechanics , beam (structure)
A Collins transformation maps an orthonormal set of Hermite-Gaussian modes into an orthonormal set of beams with a Gaussian envelope. Among these beams are Laguerre-Gaussian beams and the recently introduced Hermite-Laguerre-Gaussian beams. Compact expressions for the complex field amplitudes of these modes are derived. The results obtained are useful for description of the propagation of light through first-order optical systems, for the solution of the phase-retrieval problem by noninterferometric techniques, and for the design of mode converters and information processing systems.

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