Adaption of optical Fresnel transform to optical Wigner transform

作者：Lv Cui hong^*; Fan Hong yi

来源：Physica Scripta, 2010, 82(2): 025004.

DOI：10.1088/0031-8949/82/02/025004

Enlightened by the algorithmic isomorphism between the rotation of the Wigner distribution WDF) and the alpha th fractional Fourier transform, we show that the optical Fresnel transform performed on the input through an ABCD system makes the output naturally adapting to the associated Wigner transform, i.e. there exists algorithmic isomorphism between ABCD transformation of the WDF and the optical Fresnel transform. We prove this adaption in the context of operator language. Both the single-mode and the two-mode Fresnel operators as the image of classical Fresnel transform are introduced in our discussions, while the two-mode Wigner operator in the entangled state representation is introduced for fitting the two-mode Fresnel operator.

• 出版日期2010-8
• 单位中国科学技术大学