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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. 29, Iss. 8 — Aug. 1, 2012
  • pp: 1728–1733

Propagation of Bessel–Gaussian beams through a double-apertured fractional Fourier transform optical system

Bin Tang, Chun Jiang, and Haibin Zhu  »View Author Affiliations


JOSA A, Vol. 29, Issue 8, pp. 1728-1733 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001728


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Abstract

Based on the scalar diffraction theory and the fact that a hard-edged aperture function can be expanded into a finite sum of complex Gaussian functions, an approximate analytical solution for Bessel–Gaussian (BG) beams propagating through a double-apertured fractional Fourier transform (FrFT) system is derived in the cylindrical coordinate. By using the approximate analytical formulas, the propagation properties of BG beams passing through a double-apertured FrFT optical system have been studied in detail by some typical numerical examples. The results indicate that the double-apertured FrFT optical system provides a convenient way for controlling the properties of the BG beams by properly choosing the optical parameters.

© 2012 Optical Society of America

OCIS Codes
(350.5500) Other areas of optics : Propagation
(070.2575) Fourier optics and signal processing : Fractional Fourier transforms
(080.2575) Geometric optics : Fractional Fourier transforms

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: May 3, 2012
Revised Manuscript: June 14, 2012
Manuscript Accepted: June 21, 2012
Published: July 31, 2012

Citation
Bin Tang, Chun Jiang, and Haibin Zhu, "Propagation of Bessel–Gaussian beams through a double-apertured fractional Fourier transform optical system," J. Opt. Soc. Am. A 29, 1728-1733 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-8-1728

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