Dual-Reference Design for Holographic Phase Retrieval

A new reference design is introduced for holographic coherent diffraction imaging. This consists in two references—"block" and "pinhole" shaped regions—placed adjacent to the imaging specimen. Analysis of the expected recovery error on noisy data—contaminated by Poisson shot noise—shows that this simple modification synergizes the individual references and hence leads to uniformly superior performance over single-reference schemes. Numerical experiments on simulated data confirm the theoretical prediction, and the proposed dual-reference scheme achieves a smaller recovery error than leading single-reference schemes. A full version of this paper is available at https://arxiv.org/abs/1902.02492.