Lensless Fourier transform holography for coherence waves

Coherence functions behave like a wave and follow two-four dimensional wave equations. Utilizing this feature, we propose a lensless Fourier transform holography for coherence waves. Experimental demonstration is carried out by synthesizing the coherence function of a stationary random field as a superposition of two independent coherence functions in the Fresnel domain. Using the connection between two point intensity correlation and coherence function for the Gaussian random field, the application of this technique is demonstrated in imaging through a random scatterer in a lensless geometry from a single measurement of the speckle field.