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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 36 — Dec. 20, 2006
  • pp: 9049–9052

Fractional Fourier transform of truncated elliptical Gaussian beams

Xinyue Du and Daomu Zhao  »View Author Affiliations

Applied Optics, Vol. 45, Issue 36, pp. 9049-9052 (2006)

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Based on the fact that a hard-edged elliptical aperture can be expanded approximately as a finite sum of complex Gaussian functions in tensor form, an analytical expression for an elliptical Gaussian beam (EGB) truncated by an elliptical aperture and passing through a fractional Fourier transform system is derived by use of vector integration. The approximate analytical results provide more convenience for studying the propagation and transformation of truncated EGBs than the usual way by using the integral formula directly, and the efficiency of numerical calculation is significantly improved.

© 2006 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(070.2590) Fourier optics and signal processing : ABCD transforms
(140.3300) Lasers and laser optics : Laser beam shaping
(350.5500) Other areas of optics : Propagation

Original Manuscript: May 22, 2006
Revised Manuscript: August 12, 2006
Manuscript Accepted: August 21, 2006

Xinyue Du and Daomu Zhao, "Fractional Fourier transform of truncated elliptical Gaussian beams," Appl. Opt. 45, 9049-9052 (2006)

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