Mode mapping in paraxial lossless optics



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Alieva, Tatiana Krasheninnikova and Bastiaans, Martin J. (2005) Mode mapping in paraxial lossless optics. Optics letters, 30 (12). pp. 1461-1463. ISSN 0146-9592

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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.

Item Type:Article
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© 2005 Optical Society of America. T. Alieva ( thanks the Spanish Ministry of Education and Science for financial support (Ramon y Cajal grant and projects TIC 2002-01846 and TIC 2002-11581-E). M. J. Bastiaans’s e-mail address is

Uncontrolled Keywords:Gaussian beams, Hermite
Subjects:Sciences > Physics > Optics
ID Code:27719
Deposited On:11 Dec 2014 11:27
Last Modified:11 Dec 2014 11:27

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