Phase recovering without phase unwrapping in phase-shifting interferometry by cubic and average interpolation |
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Authors: | Téllez-Quiñones Alejandro Malacara-Doblado Daniel |
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Affiliation: | Centro de Investigaciones en óptica, A. C., Loma del Bosque 115, Col. Lomas del Campestre, C. P. 37150, León, Guanajuato, Mexico. alejandroteq@cio.mx |
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Abstract: | A simple phase estimation employing cubic and average interpolations to solve the oversampling problem in smooth modulated phase images is described. In the context of a general phase-shifting process, without phase-unwrapping, the modulated phase images are employed to recover wavefront shapes with high fringe density. The problem of the phase reconstruction by line integration of its gradient requires a form appropriate to the calculation of partial derivatives, especially when the phase to recover has higher-order aberration values. This is achieved by oversampling the modulated phase images, and many interpolations can be implemented. Here an oversampling procedure based on the analysis of a quadratic cost functional for phase recovery, in a particular case, is proposed. |
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