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Inverse Problems and Imaging (IPI)
 

A direct imaging method for the half-space inverse scattering problem with phaseless data

Pages: 901 - 916, Volume 11, Issue 5, October 2017      doi:10.3934/ipi.2017042

 
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Zhiming Chen - LSEC, Institute of Computational Mathematics and Scienti c/Engineering Computing, Academy of Mathematics and Systems Science, School of Mathematical Science, University of Chinese Academy of Sciences, Chinese Academy of Sciences, Beijing 100190, China (email)
Shaofeng Fang - School of Mathematical Science, University of Chinese Academy of Sciences, Chinese Academy of Sciences, Beijing 100190, China (email)
Guanghui Huang - The Rice Inversion Project, Department of Computational and Applied Mathematics, Rice University, Houston, TX 77005-1892, United States (email)

Abstract: We propose a direct imaging method based on the reverse time migration method for finding extended obstacles with phaseless total field data in the half space. 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 obstacle is far away from the surface of the half-space where the measurement is taken. Numerical experiments are included to illustrate the powerful imaging quality.

Keywords:  Reverse time migration, phaseless imaging, half-space inverse scattering.
Mathematics Subject Classification:  Primary: 65N30; Secondary: 78A45, 35Q60.

Received: December 2016;      Available Online: July 2017.

 References