Propagation of mutual intensity expressed in terms of the fractional Fourier transform
Fatih Erden, M.
Ozaktas, H., M.
Please cite this item using this persistent URLhttp://hdl.handle.net/11693/25849
Journal of the Optical Society of America A: Optics and Image Science, and Vision
- Research Paper 
OSA - The Optical Society
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 four-dimensional 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. © 1996 Optical Society of America.