Journal
OPTICS LETTERS
Volume 45, Issue 13, Pages 3649-3652Publisher
OPTICAL SOC AMER
DOI: 10.1364/OL.391823
Keywords
-
Categories
Funding
- National Natural Science Foundation of China [61722506]
- Leading Technology of Jiangsu Basic Research Plan [BK20192003]
- Outstanding Youth Foundation of Jiangsu Province of China [BK20170034]
- Key Research and Development Program of Jiangsu Province [BE2017162]
- China Scholarship Council [201906840063]
Ask authors/readers for more resources
The transport-of-intensity equation (TIE) is one of the most well-known approaches for phase retrieval and quantitative phase imaging. It directly recovers the quantitative phase distribution of an optical field by through-focus intensity measurements in a non-interferometric, deterministic manner. Nevertheless, the accuracy and validity of state-of-the-art TIE solvers depend on restrictive pre-knowledge or assumptions, including appropriate boundary conditions, a well-defined closed region, and quasi-uniform in-focus intensity distribution, which, however, cannot be strictly satisfied simultaneously under practical experimental conditions. In this Letter, we propose a universal solution to TIE with the advantages of high accuracy, convergence guarantee, applicability to arbitrarily shaped regions, and simplified implementation and computation. With the maximum intensity assumption, we first simplify TIE as a standard Poisson equation to get an initial guess of the solution. Then the initial solution is further refined iteratively by solving the same Poisson equation, and thus the instability associated with the division by zero/small intensity values and large intensity variations can be effectively bypassed. Simulations and experiments with arbitrary phase, arbitrary aperture shapes, and nonuniform intensity distributions verify the effectiveness and universality of the proposed method. (C) 2020 Optical Society of America
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available