Shack-Hartmann sensor as an imaging system with a phase diversity

TL;DR

This paper introduces a novel phase-retrieval approach for Shack-Hartmann sensors that models the Hartmann pattern as a point-spread function with phase diversity, enhancing wavefront reconstruction accuracy and analyzing method limitations.

Contribution

The paper proposes a new model treating the Hartmann pattern as a point-spread function with phase diversity, improving wavefront reconstruction and analysis of phase retrieval methods.

Findings

Validates the approach on simulated data

Demonstrates effectiveness on experimental data

Analyzes limitations of phase-retrieval methods

Abstract

Conventional methods of wavefront reconstruction from the raw data of the Shack-Hartmann sensor use the focal spot shifts and discard the high-frequency information about the wavefront. Phase-retrieval-based methods treat the Hartmann pattern as the diffraction image and use the Rayleigh-Sommerfeld propagation to estimate the wavefront with greater accuracy and resolution. In this Letter, we propose a novel approach to the phase-retrieval-based reconstruction by considering the Hartmann pattern as a point-spread function of a general imaging system with an introduced phase diversity of a special type. This model allows one not only to use any phase retrieval algorithm to reconstruct the wavefront but also to analyse the limitations of the phase-retrieval-based methods. We demonstrate the validity of this approach both on the simulated and experimental data.