Relation between Fresnel transform of input light field and Radon transform of Wigner function of the field

Details Relation between Fresnel transform of input light field and Radon transform of Wigner function of the field Relation between Fresnel transform of input light field and Radon transform of Wigner function of the field

2008-08-21

arxiv.org/abs/0808.2926v1

Physics

Quantum Physics

5 pages, no figure

Scientific paper

We prove a new theorem about the relationship between optical field Wigner function's Radon transform and optical Fresnel transform of the field, i.e., when an input field Phi(x') propagates through an optical [D(-B)(-C)A] system, the energy density of the output field is equal to the Radon transform of the Wigner function of the input field, where the Radon transform parameters are D,B. We prove this theorem in both spatial-domain and frequency-domain.

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