中国物理B ›› 2012, Vol. 21 ›› Issue (10): 100302-100302.doi: 10.1088/1674-1056/21/10/100302

• GENERAL • 上一篇    下一篇

The Fresnel–Weyl complementary transformation

谢传梅a b, 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
  • 收稿日期:2012-02-15 修回日期:2012-04-27 出版日期:2012-09-01 发布日期:2012-09-01
  • 基金资助:
    Project supported by the Doctoral Scientific Research Startup Fund of Anhui University, China (Grant No. 33190059), 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).

The Fresnel–Weyl complementary transformation

Xie Chuan-Mei (谢传梅)a b, 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:2012-02-15 Revised:2012-04-27 Online:2012-09-01 Published:2012-09-01
  • Contact: Xie Chuan-Mei 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 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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摘要： Based on the newly developed coherent-entangled state representation, we propose the so-called Fresnel-Weyl complementary transformation operator. The new operator plays the roles of both Fresnel transformation (for (a1-a2)√2 and the Weyl transformation (for (a1+a2)√2. Physically, (a1-a2)√2 and (a1+a2)√2 could be a symmetric beamsplitter's two output fields for the incoming fields a1 and a2. We show that the two transformations are concisely expressed in the coherent-entangled state representation as a projective operator in the integration form.

关键词: coherent-entangled state representation, Fresnel-Weyl complementary transformation, beamsplitter

Abstract: Based on the newly developed coherent-entangled state representation, we propose the so-called Fresnel-Weyl complementary transformation operator. The new operator plays the roles of both Fresnel transformation (for (a1-a2)√2 and the Weyl transformation (for (a1+a2)√2. Physically, (a1-a2)√2 and (a1+a2)√2 could be a symmetric beamsplitter's two output fields for the incoming fields a1 and a2. We show that the two transformations are concisely expressed in the coherent-entangled state representation as a projective operator in the integration form.

Key words: coherent-entangled state representation, Fresnel-Weyl complementary transformation, beamsplitter

中图分类号:  (Quantum mechanics)

  • 03.65.-w
03.67.-a (Quantum information)