New decomposition of the Fresnel operator corresponding to the optical transformation in ABCD-systems  

作　　者：杜建明 范洪义 

机构地区：[1]Department of Physics and Electronic Information,Huainan Normal University [2]Department of Material Science and Engineering,University of Science and Technology of China

出　　处：《Chinese Physics B》2013年第6期166-170,共5页中国物理B（英文版）

基　　金：supported by the University Natural Science Foundation of Anhui Province,China (Grant No. KJ2011Z339);the National Natural Science Foundation of China (Grant No. 10874174)

摘　　要：By virtue of the coherent state representation of the newly introduced Fresnel operator and its group product property we obtain new decomposition of the Fresnel operator as the product of the quadratic phase operator, the squeezing operator, and the fractional Fourier transformation operator, which in turn sheds light on the matrix optics design of ABCD-systems The new decomposition for the two-mode Fresnel operator is also obtained by the use of entangled state representation.By virtue of the coherent state representation of the newly introduced Fresnel operator and its group product property we obtain new decomposition of the Fresnel operator as the product of the quadratic phase operator, the squeezing operator, and the fractional Fourier transformation operator, which in turn sheds light on the matrix optics design of ABCD-systems The new decomposition for the two-mode Fresnel operator is also obtained by the use of entangled state representation.

关 键 词：Fresnel operator integration within an ordered product technique optical transformation 

分 类 号：O43[机械工程—光学工程]