An analytic relation for recovering the mutual intensity by means of intensity information under the condition of the fractional Fourier transform is derived. The results may simplify the reconstruction of the mutual intensity in comparison with the Wigner tomographic method and can be regarded as an inverse transform formula that expresses output intensity in terms of input mutual intensity under partially coherent illumination.
© 1998 Optical Society of America
(030.1640) Coherence and statistical optics : Coherence
(070.2590) Fourier optics and signal processing : ABCD transforms
(110.4980) Imaging systems : Partial coherence in imaging
(350.7420) Other areas of optics : Waves
Jinhong Tu and Shinichi Tamura, "Analytic relation for recovering the mutual intensity by means of intensity information," J. Opt. Soc. Am. A 15, 202-206 (1998)