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Proceedings Paper

The kurtosis parametric characteristics of light beams passing through aberrated fractional Fourier transforming systems
Author(s): Daomu Zhao; Haidan Mao; Zhangrong Mei; Juguan Gu; Linfei Chen; Shaomin Wang
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Paper Abstract

Based on the Collins diffraction integral formula and irradiance moment definition, the propagation characteristics of the kurtosis parameter of a Gaussian beam through fractional Fourier transformation (FRFT) systems with spherically aberrated lens are studied in detail. By using the efficient algorithm introduced in this paper, some numerical calculations are done. It is shown that the kurtosis parameter of a Gaussian beam passage through FRFT systems with spherically aberrated lens is very different from that of a Gaussian beam through ideal FRFT systems. What’s more, the effect of different kinds or values of spherical aberration coefficients on the kurtosis parameter is in great difference. The values of the kurtosis parameter of a Gaussian beam through the two types of Lohmann’s systems respectively are no longer equal even in the case of the same fractional orders and the same spherical aberration coefficients. The kurtosis parameter of a Gaussian beam passage through ideal FRFT systems keeps invariable and its value is 3 in the one-dimensional case.

Paper Details

Date Published: 10 February 2005
PDF: 8 pages
Proc. SPIE 5638, Optical Design and Testing II, (10 February 2005); doi: 10.1117/12.574869
Show Author Affiliations
Daomu Zhao, Zhejiang Univ. (China)
Haidan Mao, Zhejiang Univ. (China)
Zhangrong Mei, Huzhou Teachers College (China)
Zhejiang Univ. (China)
Juguan Gu, Huzhou Teachers College (China)
Zhejiang Univ. (China)
Linfei Chen, Zhejiang Univ. (China)
Shaomin Wang, Zhejiang Univ. (China)


Published in SPIE Proceedings Vol. 5638:
Optical Design and Testing II
Yongtian Wang; Zhicheng Weng; Shenghua Ye; Jose M. Sasian, Editor(s)

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