Volume 10, Issue 1
Phaseless Imaging by Reverse Time Migration: Acoustic Waves

Zhiming Chen & Guanghui Huang

Numer. Math. Theor. Meth. Appl., 10 (2017), pp. 1-21.

Published online: 2017-10

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  • Abstract

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 esseentially 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.

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@Article{NMTMA-10-1, author = {}, title = { Phaseless Imaging by Reverse Time Migration: Acoustic Waves}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2017}, volume = {10}, number = {1}, pages = {1--21}, abstract = {

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 esseentially 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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2017.m1617}, url = {http://global-sci.org/intro/article_detail/nmtma/12333.html} }
TY - JOUR T1 - Phaseless Imaging by Reverse Time Migration: Acoustic Waves JO - Numerical Mathematics: Theory, Methods and Applications VL - 1 SP - 1 EP - 21 PY - 2017 DA - 2017/10 SN - 10 DO - http://doi.org/10.4208/nmtma.2017.m1617 UR - https://global-sci.org/intro/article_detail/nmtma/12333.html KW - AB -

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 esseentially 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.

Zhiming Chen & Guanghui Huang. (2020). Phaseless Imaging by Reverse Time Migration: Acoustic Waves. Numerical Mathematics: Theory, Methods and Applications. 10 (1). 1-21. doi:10.4208/nmtma.2017.m1617
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