Abstract

Several techniques have been developed for reconstructing various phase objects. Here another method utilizing the imaging property of the grating interferometer is presented. A periodic phase object can be regarded as a superimposition of Fourier components which behave as phase gratings with different spatial frequencies. The diffraction orders from each Fourier component are imaged by a grating interferometer. The relative intensities of these orders correspond to the Bessel functions. These groups of the imaged diffraction orders are convolved forming the output field. After using the techniques of deconvolution and gathering the density and phase information, the object is to be reconstructed. This method is valid either within or beyond Born and Rytov’s approximation because the interaction between the Fourier components has been counted. Results of some simple experiments are discussed.

© 1986 Optical Society of America