Approximate analytical representation of Wigner distribution function for Gaussian beams passing through ABCD optical systems with hard aperture

作者：Zhao D^*; Mao H; Sun D; Wang SM

来源：Optik, 2005, 116(5): 211-218.

DOI：10.1016/j.ijleo.2005.01.015

• wigner distribution function
• Gaussian beams
• aperture
• ABCD optical systems

Based on the treatment that a rectangular function can be expanded as an approximate sum of complex Gaussian functions with finite numbers, the analytical expression of the Wigner distribution function for a Gaussian beam passing through a paraxial ABCD optical system with hard-edged aperture is obtained. By numerical simulation, it is shown that the effect of the aperture on the Wigner distribution function is prominent. By comparing the analytical results with the numerical integral results, it is shown that this method of expanding hard-edged aperture into Gaussian functions with finite numbers is proper and ascendant. This method could be extended to study the Wigner distribution functions of other light beams passing through a paraxial ABCD optical system with hard-edged aperture.

• 出版日期2005
• 单位浙江大学