Representation of the Wigner distribution function for light beams passing through apertured optical systems

Daomu Zhao; Haidan Mao; Dong Sun; Zhangrong Mei; Linfei Chen; Shaomin Wang

doi:10.1117/12.574919

11 January 2005 Representation of the Wigner distribution function for light beams passing through apertured optical systems

Daomu Zhao, Haidan Mao, Dong Sun, Zhangrong Mei, Linfei Chen, Shaomin Wang

Author Affiliations +

Proceedings Volume 5642, Information Optics and Photonics Technology; (2005) https://doi.org/10.1117/12.574919
Event: Photonics Asia, 2004, Beijing, China

Abstract

By introducing a method that a hard-edged aperture function can be expanded into an approximate sum of complex Gaussian functions with finite numbers, the analytical expression of Wigner distribution function for a Gaussian beam passing through a cylindrical symmetric and paraxial ABCD optical system with a hard-edged aperture is obtained. Numerical calculations show that the effect of an aperture on the Wigner distribution function is prominent. The analytical results are also compared with the integral calculation results and they show that this method of expanding a hard aperture into Gaussian functions with finite numbers is proper and ascendant. This method could also be extended to studying the Wigner distribution functions of other light beams passing through a paraxial ABCD optical system with a hard-edged aperture.

Citation Download Citation

Daomu Zhao, Haidan Mao, Dong Sun, Zhangrong Mei, Linfei Chen, and Shaomin Wang "Representation of the Wigner distribution function for light beams passing through apertured optical systems", Proc. SPIE 5642, Information Optics and Photonics Technology, (11 January 2005); https://doi.org/10.1117/12.574919

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