A new direct method of continuous unwrapping phase from a single interferogram

TL;DR

This paper introduces a novel direct method for continuous phase unwrapping from a single interferogram, utilizing numerical solutions of differential equations to accurately recover phase surfaces without discontinuities.

Contribution

It presents a new differential equation-based approach for phase unwrapping that avoids phase discontinuity issues and can be applied in multiple directions.

Findings

Successfully recovers phase surfaces from interference patterns.

Avoids phase discontinuity problems common in traditional methods.

Applicable to single interferogram data.

Abstract

A new method recovers the phase difference of interfering wavefronts from a pattern of interference fringes, avoiding the phase discontinuity problem. The method relies on the numerical solution of one-dimensional first-order ordinary differential equations. The solution of each equation allows to compute a corresponding cross section of the two-dimensional phase, leading to the effective recovery of the phase surface. The unwrapping procedure can be performed in each orthogonal direction.