2026-06-27T22:48:24Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/512792024-08-23T17:05:09Zcom_20.500.14352_14col_20.500.14352_15

Mode mapping in paraxial lossless optics Alieva Krasheninnikova, Tatiana Bastiaans, Martin J. © 2005 Optical Society of America. T. Alieva (talieva@fis.ucm.es) 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 m.j.bastiaans@tue.nl. 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. 2023-06-20T10:49:06Z 2023-06-20T10:49:06Z 2005-06-15 journal article 0146-9592 10.1364/OL.30.001461 https://hdl.handle.net/20.500.14352/51279 http://dx.doi.org/10.1364/OL.30.001461 http://www.opticsinfobase.org/ eng TIC 2002-01846 TIC 2002-11581-E open access Optical Society of America