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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 28, Iss. 6 — Jun. 1, 2011
  • pp: 976–982

Propagation of broadband Gaussian Schell-model beams in the apertured fractional Fourier transformation systems

Haidan Mao, Xinyue Du, Linfei Chen, and Daomu Zhao  »View Author Affiliations

JOSA A, Vol. 28, Issue 6, pp. 976-982 (2011)

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On the basis of the fact that a hard-edged aperture function can be expressed as finite matrices with different weighting coefficients, we obtain the analytical formula for the propagation of the broadband Gaussian Schell- model (BGSM) beam through the apertured fractional Fourier transformation (AFrFT) system. It is shown by numerical examples that the intensity distribution in the plane of a small fractional order is obviously influenced by the bandwidth when the BGSM beams propagate through the AFrFT system. Further extensions are also pointed out.

© 2011 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(070.2590) Fourier optics and signal processing : ABCD transforms
(350.5500) Other areas of optics : Propagation
(070.2575) Fourier optics and signal processing : Fractional Fourier transforms
(140.3295) Lasers and laser optics : Laser beam characterization

ToC Category:
Diffraction and Gratings

Original Manuscript: January 10, 2011
Revised Manuscript: March 18, 2011
Manuscript Accepted: March 18, 2011
Published: May 9, 2011

Haidan Mao, Xinyue Du, Linfei Chen, and Daomu Zhao, "Propagation of broadband Gaussian Schell-model beams in the apertured fractional Fourier transformation systems," J. Opt. Soc. Am. A 28, 976-982 (2011)

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