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Chinese Optics Letters

Chinese Optics Letters

| PUBLISHED MONTHLY BY CHINESE LASER PRESS AND DISTRIBUTED BY OSA

  • Vol. 2, Iss. 4 — Apr. 10, 2004
  • pp: 206–209

Studies of beam propagation characteristics on apertured fractional Fourier transforming systems

Hongjie Liu, Daomu Zhao, Haidan Mao, Shaomin Wang, Feng Jing, Qihua Zhu, Xiaofeng Wei, and Xiaomin Zhang  »View Author Affiliations


Chinese Optics Letters, Vol. 2, Issue 4, pp. 206-209 (2004)


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Abstract

Based on the principle that a rectangular function can be expanded into a sum of complex Gaussian functions with finite numbers, propagation characteristics of a Gaussian beam or a plane wave passing through apertured fractional Fourier transforming systems are analyzed and corresponding analytical formulae are obtained. Analytical formulae in different fractional orders are numerically simulated and compared with the diffraction integral formulae, the applicable range and exactness of analytical formulae are confirmed. It is shown that the calculating speed of using the obtained approximate analytical formulae, is several hundred times faster than that of using diffraction integral directly. Meanwhile, by using analytical formulae the effect of different aperture sizes on Gaussian beam propagation characteristics is numerically simulated, it is shown that the diffraction effect can be neglected when the aperture size is 5 times larger than the beam waist size.

© 2005 Chinese Optics Letters

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

Citation
Hongjie Liu, Daomu Zhao, Haidan Mao, Shaomin Wang, Feng Jing, Qihua Zhu, Xiaofeng Wei, and Xiaomin Zhang, "Studies of beam propagation characteristics on apertured fractional Fourier transforming systems," Chin. Opt. Lett. 2, 206-209 (2004)
http://www.opticsinfobase.org/col/abstract.cfm?URI=col-2-4-206


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