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Obtaining the wavefront phase maps of free form surfaces: Using the least squares algorithm

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Abstract

In this work is presented the validation of the least squares algorithm proposed by Morgan (1982) and Greivenkamp (1984), to obtain the wavefront phase maps of a free form surface. The validation was made by simulating the synthetic interferograms of a free form surface using a Bessel function, each interferogram was simulated with a phase-shifting of π/20. This algorithm is applied to the experimental interferograms that are obtained in a Twyman-Green interferometer where the phase shifting is achieved by using a SLM (Spatial Light Modulator) that is placed in one of its arms; the phase shifts are achieved by displaying all the gray levels from 0 to 255 in the SLM. The phase shifts that are performed in this experimental setup are lower than π/4, therefore the conventional algorithms cannot be applied.

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Villalobos-Mendoza, B., Aguirre-Aguirre, D., Granados-Agustín, F., & Cornejo-Rodríguez, A. (2015). Obtaining the wavefront phase maps of free form surfaces: Using the least squares algorithm. In Journal of Physics: Conference Series (Vol. 582). Institute of Physics Publishing. https://doi.org/10.1088/1742-6596/582/1/012033

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