Reconstruction for multi-wave imaging in attenuating media with large damping coefficient. (15th November 2016)

• Record Type: Journal Article
• Authors: Palacios, Benjamín
• Is Part Of: Inverse problems. Volume 32:Number 12(2016:Dec.)
• Publication Date: 2016-11-15
• Subjects: multiwave imaging -- Neumann series -- damped wave equation -- geometric optics; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/0266-5611/32/12/125008
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: In this article we study the reconstruction problem in TAT/PAT on an attenuating media. Namely, we prove a reconstruction procedure of the initial condition for the damped wave equation via Neumann series that works for arbitrary large smooth attenuation coefficients extending the result of Homan in (2013 Inverse Problems Imaging 7 1235–50 ). We also illustrate the theoretical result by including some numerical experiments at the end of the paper.