Doubling the field of view and eliminating the replica overlap problem in common-path shearing quantitative phase imaging

Abstract

Quantitative phase imaging (QPI) enables label-free, high-contrast visualization of transparent specimens, but its common implementation in off-axis digital holographic microscopy (DHM) requires a separate reference beam, which increases system complexity and sensitivity to noise and vibrations. Common-path shearing DHMs overcome these drawbacks by eliminating the reference arm, yet they suffer from sheared object beam (replica) overlap, as both interfering sheared beams traverse the sample and generate superimposed phase images. This limits their use to sparse objects only. Here we introduce R2D-QPI, a method that numerically decouples object and replica fields of view through controlled shear scanning. The method analytically separates overlapped phase images and effectively doubles the imaged area, requiring only two measurements. We experimentally validate the approach on a phase resolution test target, yeast cells, and human thyroid tissue slices, demonstrating accurate reconstruction even in highly confluent samples with strong object-replica overlap. The results establish R2D-QPI as a robust and versatile solution for common-path QPI, enabling wide-field, label-free phase imaging with minimal data acquisition and strong potential for applications in biological and medical microscopy.