The kurtosis parametric characteristics of light beams passing through aberrated fractional Fourier transforming systems

Daomu Zhao; Haidan Mao; Zhangrong Mei; Juguan Gu; Linfei Chen; Shaomin Wang

doi:10.1117/12.574869

10 February 2005 The kurtosis parametric characteristics of light beams passing through aberrated fractional Fourier transforming systems

Daomu Zhao, Haidan Mao, Zhangrong Mei, Juguan Gu, Linfei Chen, Shaomin Wang

Author Affiliations +

Proceedings Volume 5638, Optical Design and Testing II; (2005) https://doi.org/10.1117/12.574869
Event: Photonics Asia, 2004, Beijing, China

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.

Citation Download Citation

Daomu Zhao, Haidan Mao, Zhangrong Mei, Juguan Gu, Linfei Chen, and Shaomin Wang "The kurtosis parametric characteristics of light beams passing through aberrated fractional Fourier transforming systems", Proc. SPIE 5638, Optical Design and Testing II, (10 February 2005); https://doi.org/10.1117/12.574869

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