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Proceedings Paper

Ince-Gaussian two-dimensional fractional Fourier transform for optical wave propagation
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Paper Abstract

We study the Ince-Gaussian series representation of the two-dimensional fractional Fourier transform in elliptic coordinates. A physical interpretation is provided in terms of field propagation in quadratic graded index media. The kernel of the new series representation is expressed in terms of Ince-Gaussian functions. The equivalence between the Hermite-Gaussian, Laguerre-Gaussian, and Ince-Gaussian series representations is verified by establishing the relation between the three definitions.

Paper Details

Date Published: 30 August 2005
PDF: 8 pages
Proc. SPIE 5876, Laser Beam Shaping VI, 587614 (30 August 2005); doi: 10.1117/12.616024
Show Author Affiliations
Miguel Bandres, Tecnologico de Monterrey (Mexico)
Julio C. Gutierrez-Vega, Tecnologico de Monterrey (Mexico)

Published in SPIE Proceedings Vol. 5876:
Laser Beam Shaping VI
Fred M. Dickey; David L. Shealy, Editor(s)

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