Appl Opt. 2016 Mar 20;55(9):2418-25. doi: 10.1364/AO.55.002418.

Two-dimensional phase unwrapping using the transport of intensity equation.

Applied optics

Neeraj Pandey, Amitava Ghosh, Kedar Khare

PMID: 27140583 DOI: 10.1364/AO.55.002418

Abstract

We report a method for two-dimensional phase unwrapping based on the transport of intensity equation (TIE). Given a wrapped phase profile, we generate an auxiliary complex field and propagate it to small distances to simulate two intensity images on closely spaced planes. Using the longitudinal intensity derivative of the auxiliary field as an input, the TIE is solved by employing the regularized Fourier-transform-based approach. The resultant phase profile is automatically in the unwrapped form, as it has been obtained as a solution of a partial differential equation rather than as an argument of a complex-valued function. Our simulations and experimental results suggest that this approach is fast and accurate and provides a simple and practical solution for routine phase unwrapping tasks in interferometry and digital holography.

Publication Types

• Journal Article
• Research Support, Non-U.S. Gov't