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Phaseless Imaging by Reverse Time Migration: Acoustic Waves

Part of: Optics, electromagnetic theory - General

Published online by Cambridge University Press:  20 February 2017

Zhiming Chen  and
Guanghui Huang
Zhiming Chen*
Affiliation:
LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China; School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
Guanghui Huang*
Affiliation:
The Rice Inversion Project, Department of Computational and Applied Mathematics, Rice University, Houston, TX 77005-1892, USA
*
*Corresponding author. Email addresses:zmchen@lsec.cc.ac.cn (Z.-M. Chen), ghhuang@rice.edu (G.- H. Huang)
*Corresponding author. Email addresses:zmchen@lsec.cc.ac.cn (Z.-M. Chen), ghhuang@rice.edu (G.- H. Huang)

Abstract

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We propose a reliable direct imaging method based on the reverse time migration for finding extended obstacles with phaseless total field data. We prove that the imaging resolution of the method is essentially the same as the imaging results using the scattering data with full phase information when the measurement is far away from the obstacle. The imaginary part of the cross-correlation imaging functional always peaks on the boundary of the obstacle. Numerical experiments are included to illustrate the powerful imaging quality

Keywords

Reverse time migrationphaseless datainverse scatteringextended obstacle

MSC classification

Secondary: 78A46: Inverse scattering problems

Information

Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 10 , Issue 1 , February 2017 , pp. 1 - 21
Copyright
Copyright © Global-Science Press 2017 

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