An optimized transport-of-intensity solution for phase imaging

Partha Banerjee; Mahmudunnabi Basunia; Ting-Chung Poon; Hongbo Zhang

doi:10.1117/12.2229019

20 May 2016 An optimized transport-of-intensity solution for phase imaging

Partha Banerjee, Mahmudunnabi Basunia, Ting-Chung Poon, Hongbo Zhang

Proceedings Volume 9870, Computational Imaging; 98700A (2016) https://doi.org/10.1117/12.2229019
Event: SPIE Commercial + Scientific Sensing and Imaging, 2016, Baltimore, MD, United States

Abstract

The transport-of-intensity equation (TIE) is often used to determine the phase and amplitude profile of a complex object by monitoring the intensities at different distances of propagation or around the image plane. TIE results from the imaginary part of the paraxial wave equation and is equivalent to the conservation of energy. The real part of the paraxial wave equation gives the eikonal equation in the presence of diffraction. Since propagation of the optical field between different planes is governed by the (paraxial) wave equation, both real and imaginary parts need to be satisfied at every propagation plane. In this work, the solution of the TIE is optimized by using the real part of the paraxial wave equation as a constraint. This technique is applied to the more exact determination of imaging the induced phase of a liquid heated by a focused laser beam, which has been previously computed using TIE only. Retrieval of imaged phase using the TIE is performed by using the constraint that naturally arises from the real part of the paraxial wave equation.

Citation Download Citation

Partha Banerjee, Mahmudunnabi Basunia, Ting-Chung Poon, and Hongbo Zhang "An optimized transport-of-intensity solution for phase imaging", Proc. SPIE 9870, Computational Imaging, 98700A (20 May 2016); https://doi.org/10.1117/12.2229019

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