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Article

Application of a Deep Neural Network to Phase Retrieval in Inverse Medium Scattering Problems

by 1 and 2,*
1
Language Intelligence Research Section, Electronics and Telecommunications Research Institute, Daejeon 34129, Korea
2
Department of Mathematical Sciences, Hanbat National University, Daejeon 34158, Korea
*
Author to whom correspondence should be addressed.
Academic Editor: Demos T. Tsahalis
Received: 5 March 2021 / Revised: 26 April 2021 / Accepted: 26 April 2021 / Published: 28 April 2021
(This article belongs to the Section Computational Engineering)
We address the inverse medium scattering problem with phaseless data motivated by nondestructive testing for optical fibers. As the phase information of the data is unknown, this problem may be regarded as a standard phase retrieval problem that consists of identifying the phase from the amplitude of data and the structure of the related operator. This problem has been studied intensively due to its wide applications in physics and engineering. However, the uniqueness of the inverse problem with phaseless data is still open and the problem itself is severely ill-posed. In this work, we construct a model to approximate the solution operator in finite-dimensional spaces by a deep neural network assuming that the refractive index is radially symmetric. We are then able to recover the refractive index from the phaseless data. Numerical experiments are presented to illustrate the effectiveness of the proposed model. View Full-Text
Keywords: deep neural network; phase retrieval; inverse scattering problems; nondestructive testing; optical fibers deep neural network; phase retrieval; inverse scattering problems; nondestructive testing; optical fibers
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MDPI and ACS Style

Lim, S.; Shin, J. Application of a Deep Neural Network to Phase Retrieval in Inverse Medium Scattering Problems. Computation 2021, 9, 56. https://0-doi-org.brum.beds.ac.uk/10.3390/computation9050056

AMA Style

Lim S, Shin J. Application of a Deep Neural Network to Phase Retrieval in Inverse Medium Scattering Problems. Computation. 2021; 9(5):56. https://0-doi-org.brum.beds.ac.uk/10.3390/computation9050056

Chicago/Turabian Style

Lim, Soojong, and Jaemin Shin. 2021. "Application of a Deep Neural Network to Phase Retrieval in Inverse Medium Scattering Problems" Computation 9, no. 5: 56. https://0-doi-org.brum.beds.ac.uk/10.3390/computation9050056

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