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New decomposition of the Fresnel operator corresponding to optical transformation in ABCD-systems |
| Du Jian-Ming (杜建明)a, Fan Hong-Yi (范洪义)b |
a Department of Physics and Electronic Information, Huainan Normal University, Huainan 232001, China;
b Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China |
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Abstract 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 quadratic phase operator, squeezing operator, and 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.
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Received: 15 August 2012
Revised: 21 November 2012
Accepted manuscript online:
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PACS:
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03.65.-w
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(Quantum mechanics)
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42.50.-p
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(Quantum optics)
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| Fund: Project supported by the University Natural Science Foundation of Anhui Province, China (Grant No. KJ2011Z339) and the National Natural Science Foundation of China (Grant No. 10874174). |
Corresponding Authors:
Du Jian-Ming
E-mail: jmdu@hnnu.edu.cn
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Cite this article:
Du Jian-Ming (杜建明), Fan Hong-Yi (范洪义) New decomposition of the Fresnel operator corresponding to optical transformation in ABCD-systems 2013 Chin. Phys. B 22 060302
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