2026-06-27T15:23:32Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/512682024-08-23T17:22:49Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Alieva Krasheninnikova, Tatiana
author
Bastiaans, Martin J.
2023-06-20T10:48:46Z
2023-06-20T10:48:46Z
2007-05-15
0146-9592
10.1364/OL.32.001226
https://hdl.handle.net/20.500.14352/51268
http://dx.doi.org/10.1364/OL.32.001226
http://www.opticsinfobase.org/
A family of orthonormal mode sets arises when Hermite-Gauss modes propagate through lossless first-order optical systems. It is shown that the modes at the output of the system are eigenfunctions for the symmetric fractional Fourier transformation if and only if the system is described by an orthosymplectic ray transformation matrix. Essentially new orthonormal mode sets can be obtained by letting helical Laguerre-Gauss modes propagate through an antisymmetric fractional Fourier transformer. The properties of these modes and their representation on the orbital Poincare sphere are studied.
eng
Orthonormal mode sets for the two-dimensional fractional Fourier transformation
journal article
URL
https://docta.ucm.es/bitstreams/7cb4c068-6dd3-4bf5-a084-49739badcf2b/download
File
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fb29352d2f173dafbc569f46261ca02d
75320
application/pdf
AlievaT30libre.pdf