Iterative phase retrieval with partially coherent beams

Abstract

This work studies the influence of finite (or partial) optical coherence on the transport of intensity for object images, and presents an iterative scheme to treat the phase retrieval. With the plane wave decomposition technique, the couplings between the fields of object images and that of optical (random) de-coherence are treated as a Fourier convolution, and the outcome fields follow the transport of intensity equation (TIE). An ensemble of realizations of the (outcome) fields thus determines the statistical properties that correspond to the actual measurements. Simulation results of the proposed method show a significant increase in the accuracy for phase retrievals that have finite optical coherence.

Quantitative phase microscopy via optimized inversion of the phase optical transfer function

“…Within the context of phase retrieval from micrographs recorded under varying conditions, methods may be broadly categorized as iterative [6,[38][39][40][41][42][43][44] or deterministic [45][46][47][48][49][50][51][52][53]. Iterative methods account for the inherent nonlinearity of the image formation process; however, because the problem is nonconvex [54], they cannot be proven to converge, thus adding additional complexity and constraints.…”