A generalized Collins formula derived by virtue of the displacement-squeezing related squeezed coherent state representation  

作　　者：谢传梅 范洪义 完绍龙 

机构地区：[1]Institute for Theoretical Physics and Department of Modern Physics,University of Science and Technology of China [2]College of Physics and Material Science,Anhui University [3]Department of Material Science and Engineering,University of Science and Technology of China

出　　处：《Chinese Physics B》2010年第6期330-333,共4页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos.10874174 and 10675108);the President Foundation of the Chinese Academy of Sciences;the Specilized Research Fund for the Doctorial Program of the Higher Education of China (Grant No.20070358009)

摘　　要：Based on the displacement-squeezing related squeezed coherent state representation ｜z〉g and using the technique of integration within an ordered product of operators, this paper finds a generalized Fresnel operator, whose matrix element in the coordinate representation leads to a generalized Collins formula （Huygens-Fresnel integration transformation describing optical diffraction）. The generalized Fresnel operator is derived by a quantum mechanical mapping from z to sz -- rz^＊ in the ｜Z〉g representation, while ｜z〉g in phase space is graphically denoted by an ellipse.Based on the displacement-squeezing related squeezed coherent state representation ｜z〉g and using the technique of integration within an ordered product of operators, this paper finds a generalized Fresnel operator, whose matrix element in the coordinate representation leads to a generalized Collins formula （Huygens-Fresnel integration transformation describing optical diffraction）. The generalized Fresnel operator is derived by a quantum mechanical mapping from z to sz -- rz^＊ in the ｜Z〉g representation, while ｜z〉g in phase space is graphically denoted by an ellipse.

关 键 词：generalized Fresnel operator generalized Collins formula phase space IWOP technique squeezed coherent state 

分 类 号：O431.2[机械工程—光学工程]