Efficient phase retrieval based on dark fringe recognition with an ability of bypassing invalid fringes

TL;DR

This paper introduces a novel phase retrieval method that leverages dark fringe recognition to bypass invalid fringes, improving the accuracy of complex image reconstruction from noisy quadratic measurements.

Contribution

The proposed approach uniquely uses dark fringe recognition to enhance phase retrieval accuracy and bypass invalid fringes, demonstrated through theoretical analysis and experimental validation.

Findings

Achieves more accurate relative phase ratios between pixels.

Effectively bypasses invalid fringes in noisy signals.

Suitable for high-quality phase imaging in various applications.

Abstract

This paper discusses the noisy phase retrieval problem: recovering a complex image signal with independent noise from quadratic measurements. Inspired by the dark fringes shown in the measured images of the array detector, a novel phase retrieval approach is proposed and demonstrated both theoretically and experimentally to recognize the dark fringes and bypass the invalid fringes. A more accurate relative phase ratio between arbitrary two pixels is achieved by calculating the multiplicative ratios (or the sum of phase difference) on the path between them. Then the object phase image can be reconstructed precisely. Our approach is a good choice for retrieving high-quality phase images from noisy signals and has many potential applications in the fields such as X-ray crystallography, diffractive imaging, and so on.