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Proceedings Paper

Quasi-discrete Hankel transform of integer order for wave propagation
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Paper Abstract

A numerical method for computing integer order Hankel transforms using a Fourier-Bessel expansion is presented. The method satisfies the discrete form of the Parseval theorem assuring energy conservation, this makes the formulation particularly useful for field propagation. Some relevant properties of the transformation matrix are discussed. Additionally, a numerical comparison with other typical methods is performed, the advantages and disadvantages of the method are discussed. To verify its accuracy to propagate an optical field, the method is used to obtain higher azimuthal order modes in an optical resonator using the iterative Fox & Li approach, resulting in a reduction of memory requirements and processing time, the results are compared to the traditional two-dimensional Fourier transform approach.

Paper Details

Date Published: 4 November 2004
PDF: 9 pages
Proc. SPIE 5556, Photonic Devices and Algorithms for Computing VI, (4 November 2004);
Show Author Affiliations
Manuel Guizar-Sicairos, Instituto Tecnológico y de Estudios Superiores de Monterrey (Mexico)
Julio Cesar Gutierrez-Vega, Instituto Tecnológico y de Estudios Superiores de Monterrey (Mexico)

Published in SPIE Proceedings Vol. 5556:
Photonic Devices and Algorithms for Computing VI
Khan M. Iftekharuddin; Abdul Ahad S. Awwal, Editor(s)

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