Phaseless Imaging by Reverse Time Migration: Acoustic Waves. Issue 1 (20th February 2017)

• Record Type: Journal Article
• Authors: Chen, Zhiming; Huang, Guanghui
• Is Part Of: Numerical mathematics. Volume 10:Issue 1(2017)
• Page Start: 1
• Page End: 21
• Publication Date: 2017-02-20
• Subjects: 78A46; Reverse time migration, -- phaseless data, -- inverse scattering, -- extended obstacle; Numerical analysis -- Periodicals; Numerical analysis; Periodicals; 518.05
• DOI: 10.4208/nmtma.2017.m1617
• Languages: English
• ISSNs: 1004-8979

Abstract

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 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