Solving a 1-D inverse medium scattering problem using a new multi-frequency globally strictly convex objective functional
Abstract
We propose a new approach to constructing globally strictly convex objective functional in a 1-D inverse medium scattering problem using multi-frequency backscattering data. The global convexity of the proposed objective functional is proved. We also prove the global convergence of the gradient projection algorithm and derive an error estimate. Numerical examples are presented to illustrate the performance of the proposed algorithm.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Sep 11, 2020
- Source ID
- 10.1515/jiip-2020-0039
Entities
People
- Michael Klibanov
- Nguyễn Trung Thành
Organizations
- Army Research Office
- Rowan University
- United States Army Research Laboratory
- University of North Carolina at Charlotte