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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 1 — Jan. 1, 2004
  • pp: 53–58

Computation of quasi-discrete Hankel transforms of integer order for propagating optical wave fields

Manuel Guizar-Sicairos and Julio C. Gutiérrez-Vega  »View Author Affiliations


JOSA A, Vol. 21, Issue 1, pp. 53-58 (2004)
http://dx.doi.org/10.1364/JOSAA.21.000053


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Abstract

The method originally proposed by Yu [Opt. Lett. 23, 409 (1998)] for evaluating the zero-order Hankel transform is generalized to high-order Hankel transforms. Since the method preserves the discrete form of the Parseval theorem, it is particularly suitable for field propagation. A general algorithm for propagating an input field through axially symmetric systems using the generalized method is given. The advantages and the disadvantages of the method with respect to other typical methods are discussed.

© 2004 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.1960) Diffraction and gratings : Diffraction theory
(070.2590) Fourier optics and signal processing : ABCD transforms
(350.5500) Other areas of optics : Propagation

History
Original Manuscript: June 11, 2003
Revised Manuscript: August 26, 2003
Manuscript Accepted: September 9, 2003
Published: January 1, 2004

Citation
Manuel Guizar-Sicairos and Julio C. Gutiérrez-Vega, "Computation of quasi-discrete Hankel transforms of integer order for propagating optical wave fields," J. Opt. Soc. Am. A 21, 53-58 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-1-53

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