Abstract
This paper presents a robust and non-iterative algorithm for phase retrieval from two interferograms changed by an arbitrary unknown phase-step. First, the object phase is algebraically eliminated; second, the background and modulation light are approximated to 2D polynomials of degree K; third, an error function is algebraically derived; fourth, the least squares method is applied for estimating the phase-step, background, and modulation light, and finally the object phase is retrieved. With this approach, it is not necessary to do additional measurements. The important advantages of this method are its simple computer implementation and its capacity to support high spatial variations in the illumination. This approach is described theoretically, and verified numerically and experimentally.
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