Abstract This paper proves a new theorem on the relationship between optical field Wigner function's two-parameter Radon transform and optical Fresnel transform of the field, i.e., when an input field $\psi\left( x^{\prime }\right) $ propagates through an optical $\left[ D\left( -B\right) \left( -C\right) A\right] $ 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 $D,B.$ It prove this theorem in both spatial-domain and frequency-domain, in the latter case the Radon transform parameters are $A,C.$
Received: 21 August 2008
Revised: 11 September 2008
Accepted manuscript online:
(Optical communication systems, multiplexers, and demultiplexers?)
Fund: Project supported by the National
Natural Science Foundation of
China (Grant Nos 10775097 and 10874174).
Cite this article:
Fan Hong-Yi(范洪义) and Hu Li-Yun(胡利云) Relation between Fresnel transform of input light field and the two-parameter Radon transform of Wigner function of the field 2009 Chin. Phys. B 18 611
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