Files and links (1)
SubmittedOpen Access (License Unspecified), Open
Journal article
Modified forward and inverse Born series for the Calderon and diffuse-wave problems
Inverse problems, v 36(11), p114001
07 Oct 2020
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
We propose a new direct reconstruction method based on series inversion for electrical impedance tomography (EIT) and the inverse scattering problem for diffuse waves. The standard Born series for the forward problem has the limitation that the series requires that the contrast lies within a certain radius for convergence. Here, we instead propose a modified Born series which converges for the forward problem unconditionally. We then invert this modified Born series and compare reconstructions with the usual inverse Born series. We also show that the modified inverse Born series has a larger radius of convergence.
Metrics
Details
- Title
- Modified forward and inverse Born series for the Calderon and diffuse-wave problems
- Creators
- Anuj Abhishek - Drexel UniversityMarc Bonnet - Wave Propagation Mathematical Study and SimulationShari Moskow - Drexel University
- Publication Details
- Inverse problems, v 36(11), p114001
- Publisher
- IOP Publishing
- Number of pages
- 19
- Grant note
- 1715425 / Division of Mathematical Sciences (https://doi.org/10.13039/100000121)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000585694100001
- Scopus ID
- 2-s2.0-85096753604
- Other Identifier
- 991019168224604721
UN Sustainable Development Goals (SDGs)
This publication has contributed to the advancement of the following goals:
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics, Applied
- Physics, Mathematical