Abstract
Based on the correspondence between the Collins diffraction formula (optical Fresnel transform) and the transform matrix element of a three-parameter two-mode squeezing operator in the entangled state representation Citation1 we further explore the relationship between output field intensity determined by the Collins formula and the input field's probability distribution along an infinitely thin phase space strip, both in the spatial domain and the frequency domain. The entangled Wigner function is introduced for recapitulating the result.
Acknowledgements
Work supported by the National Natural Science Foundation of China (Grant No. 10874174) and the President Foundation of the Chinese Academy of Science, and Research Foundation of the Education Department of Jiangxi Province.