Phase retrieval from one partial derivative

Matias Di Martino J, Flores JL, Pfeiffer F, Scherer K, Ayubi GA, Ferrari JA (2013)

Publication Type: Journal article

Publication year: 2013

Journal

Optics Letters Optical Society of America

Book Volume: 38

Pages Range: 4813-4816

Journal Issue: 22

DOI: 10.1364/OL.38.004813

Abstract

Phase objects can be characterized using well-known methods such as shear interferometry and deflectometry, which provide information on the partial derivatives of the phase. It is often believed that for phase retrieval it is strictly necessary to have knowledge of two partial derivatives in orthogonal directions. In the praxis, this implies that the measurements have to be performed along two dimensions, which often requires a rotation of the object or rotation of the shear direction. This is time consuming and errors can be easily generated from the process of rotation, especially for image registration in the axial direction. In the present Letter, we will demonstrate that only one partial derivative often suffices to recover the phase, and we will discuss under which conditions that is possible. Simulations and validation experiments are presented. © 2013 Optical Society of America.

Involved external institutions

University of the Republic / Universidad de la República (UdelaR) UY Uruguay (UY) Universidad de Guadalajara (UDEG) MX Mexico (MX) Technische Universität München (TUM) DE Germany (DE)

How to cite

APA:

Matias Di Martino, J., Flores, J.L., Pfeiffer, F., Scherer, K., Ayubi, G.A., & Ferrari, J.A. (2013). Phase retrieval from one partial derivative. Optics Letters, 38(22), 4813-4816. https://doi.org/10.1364/OL.38.004813

MLA:

Matias Di Martino, J., et al. "Phase retrieval from one partial derivative." Optics Letters 38.22 (2013): 4813-4816.

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