Relation between Fresnel transform of input light field and the two-parameter Radon transform of Wigner function of the field  

作　　者：范洪义 胡利云 

机构地区：[1]Department of Physics, Shanghai Jiao Tong University

出　　处：《Chinese Physics B》2009年第2期611-615,共5页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos 10775097 and 10874174)

摘　　要：This paper proves a new theorem on the relationship between optical field Wigner function＇s two-parameter Radon transform and optical Fresnel transform of the field, i.e., when an input field ψ （x＇） propagates through an optical [D （-B） （-C） A] system, the energy density of the output field is equal to the Radon transform of the Wigner function of the input field, where the Radon transform parameters are D, B. It prove this theorem in both spatial-domain and frequency-domain, in the latter case the Radon transform parameters are A, C.This paper proves a new theorem on the relationship between optical field Wigner function＇s two-parameter Radon transform and optical Fresnel transform of the field, i.e., when an input field ψ （x＇） propagates through an optical [D （-B） （-C） A] system, the energy density of the output field is equal to the Radon transform of the Wigner function of the input field, where the Radon transform parameters are D, B. It prove this theorem in both spatial-domain and frequency-domain, in the latter case the Radon transform parameters are A, C.

关 键 词：Fresnel transform two-parameter Radon transform Wigner function 

分 类 号：O438[机械工程—光学工程]