Propagation of mutual intensity expressed in terms of the fractional Fourier transform
- 1 May 1996
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 13 (5) , 1068-1071
- https://doi.org/10.1364/josaa.13.001068
Abstract
The propagation of mutual intensity through quadratic graded-index media or free space can be expressed in terms of two-dimensional fractional Fourier transforms for one-dimensional systems and in terms of fourdimensional fractional Fourier transforms for two-dimensional systems. As light propagates, its mutual intensity distribution is continually fractional Fourier transformed. These results can also be generalized to arbitrary first-order optical systems. Furthermore, the Wigner distribution associated with a partially coherent field rotates in the same manner as the Wigner distribution associated with a deterministic field.Keywords
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