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

Miguel Bandres; Julio C. Gutierrez-Vega

doi:10.1117/12.616024

30 August 2005 Ince-Gaussian two-dimensional fractional Fourier transform for optical wave propagation

Proceedings Volume 5876, Laser Beam Shaping VI; 587614 (2005) https://doi.org/10.1117/12.616024
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

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.

Citation Download Citation

Miguel Bandres and Julio C. Gutierrez-Vega "Ince-Gaussian two-dimensional fractional Fourier transform for optical wave propagation", Proc. SPIE 5876, Laser Beam Shaping VI, 587614 (30 August 2005); https://doi.org/10.1117/12.616024

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