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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: Franco Gori
  • Vol. 27, Iss. 11 — Nov. 1, 2010
  • pp: 2506–2513

General astigmatic transform of Hermite–Laguerre–Gaussian beams

Eugeny Abramochkin, Evgeniya Razueva, and Vladimir Volostnikov  »View Author Affiliations


JOSA A, Vol. 27, Issue 11, pp. 2506-2513 (2010)
http://dx.doi.org/10.1364/JOSAA.27.002506


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Abstract

The general astigmatic transform, or two-dimensional non-separable linear canonical transform of a Hermite–Laguerre–Gaussian beam, is investigated by theoretical means. Some corollaries that apply to Hermite–Gaussian and Laguerre–Gaussian beam propagation are presented and discussed.

© 2010 Optical Society of America

OCIS Codes
(030.4070) Coherence and statistical optics : Modes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.2590) Fourier optics and signal processing : ABCD transforms
(350.5500) Other areas of optics : Propagation
(350.6980) Other areas of optics : Transforms

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: August 4, 2010
Manuscript Accepted: September 18, 2010
Published: October 27, 2010

Citation
Eugeny Abramochkin, Evgeniya Razueva, and Vladimir Volostnikov, "General astigmatic transform of Hermite–Laguerre–Gaussian beams," J. Opt. Soc. Am. A 27, 2506-2513 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-11-2506

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