Reduced inverse Born series: a computational study
Abstract
We investigate the inverse scattering problem for scalar waves. We report conditions under which the terms in the inverse Born series cancel in pairs, leaving only one term at each order. We refer to the resulting expansion as the reduced inverse Born series. The reduced series can also be derived from a nonperturbative inversion formula. Our results are illustrated by numerical simulations that compare the performance of the reduced series to the full inverse Born series and the Newton–Kantorovich method.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Nov 30, 2022
- Source ID
- 10.1364/josaa.473683
Entities
People
- John C. Schotland
- Vadim A Markel
Organizations
- Air Force Office of Scientific Research
- National Science Foundation Directorate for Mathematical & Physical Sciences
- University of Pennsylvania
- Yale University