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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

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 11 — Nov. 1, 2006
  • pp: 2768–2774

Fresnel diffraction and fractal patterns from polygonal apertures

J. G. Huang, J. M. Christian, and G. S. McDonald  »View Author Affiliations


JOSA A, Vol. 23, Issue 11, pp. 2768-2774 (2006)
http://dx.doi.org/10.1364/JOSAA.23.002768


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Abstract

Two compact analytical descriptions of Fresnel diffraction patterns from polygonal apertures under uniform illumination are detailed. In particular, a simple expression for the diffracted field from constituent edges is derived. These results have fundamental importance as well as specific applications, and they promise new physical insights into diffraction-related phenomena. The usefulness of the formulations is illuminated in the context of a virtual source theory that accounts for two transverse dimensions. This application permits calculation of fractal unstable-resonator modes of arbitrary order and unprecedented accuracy.

© 2006 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1960) Diffraction and gratings : Diffraction theory
(140.0140) Lasers and laser optics : Lasers and laser optics
(140.3410) Lasers and laser optics : Laser resonators
(260.1960) Physical optics : Diffraction theory

ToC Category:
Diffraction and Gratings

History
Original Manuscript: April 28, 2006
Manuscript Accepted: June 7, 2006

Citation
J. G. Huang, J. M. Christian, and G. S. McDonald, "Fresnel diffraction and fractal patterns from polygonal apertures," J. Opt. Soc. Am. A 23, 2768-2774 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-11-2768

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