中国物理B ›› 2012, Vol. 21 ›› Issue (4): 44203-044203.doi: 10.1088/1674-1056/21/4/044203

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谢传梅1 2,范洪义2   

  • 收稿日期:2011-09-27 修回日期:2011-11-10 出版日期:2012-02-29 发布日期:2012-02-29
  • 通讯作者: 谢传梅,xiecmei@mail.ustc.edu.cn E-mail:xiecmei@mail.ustc.edu.cn

The two-mode quantum Fresnel operator and the multiplication rule of 2D Collins diffraction formula

Xie Chuan-Mei(谢传梅)a)b)† and Fan Hong-Yi(范洪义)b)   

  1. a. College of Physics & Material Science, Anhui University, Hefei 230039, China;
    b. Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
  • Received:2011-09-27 Revised:2011-11-10 Online:2012-02-29 Published:2012-02-29
  • Contact: Xie Chuan-Mei,xiecmei@mail.ustc.edu.cn E-mail:xiecmei@mail.ustc.edu.cn
  • Supported by:
    Project supported by the Doctoral Scientific Research Startup Fund of Anhui University, China (Grant No. 33190059), the National Natural Science Foundation of China (Grant No. 10874174), the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20113401120004), and the Open Funds from National Laboratory for Infrared Physics, Chinese Academy of Sciences (Grant No. 201117).

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Abstract: By using the two-mode Fresnel operator we derive a multiplication rule of two-dimensional (2D) Collins diffraction formula, the inverse of 2D Collins diffraction integration can also be conveniently derived in this way in the context of quantum optics theory.

Key words: 2D Collins diffraction formula, two-mode Fresnel operator

中图分类号:  (Diffraction and scattering)

  • 42.25.Fx
42.50.-p (Quantum optics)