To test a surface using a standard interferometer (Twyman-Green, Fizeau, etc.), one must have insight on the phase difference between the reference wavefront and that of the test surface. For optical path differences that exceed one wavelength, it is well known that one must combine phase estimation (modulo 2π) with a suitable phase unwrapping algorithm. We explore these steps in the specific context of holographic shearing interferometry for which the optical path variations for a single surface can vary from small fractions of a wavelength to many wavelengths, depending on the magnitude of the shear. Specifically, we employ phase-shifting interferometry using an iterative technique to solve for uncertainties in each phase step. This is followed by a global phase unwrapping algorithm specifically optimized to identify and correct for discontinuities due to air bubbles in the photopolymer.
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