Computational inverse scattering with internal sources: A reproducing kernel Hilbert space approach
We present a method to reconstruct the dielectric susceptibility (scattering potential) of an inhomogeneous scattering medium, based on the solution to the inverse scattering problem with internal sources. We consider a scalar model of light propagation in the medium. We employ the theory of reproducing kernel Hilbert spaces, together with regularization to recover the susceptibility of two- and three-dimensional scattering media. Numerical examples illustrate the effectiveness of the proposed reconstruction method.
Authors
- John C. Schotland (ORCID: https://orcid.org/0000-0003-0545-1962)
- Kamran Sadiq (ORCID: https://orcid.org/0000-0002-2197-2875)
- Otmar Scherzer (ORCID: https://orcid.org/0000-0001-9378-7452)
- Yuande Dong
Institutions
- University of Vienna (AT)
- Yale University (US)
- Johann Radon Institute for Computational and Applied Mathematics (AT)
Publication Details
- Journal
- Physical review. E
- Published
- 2024-12-11
- DOI
- https://doi.org/10.1103/physreve.110.065302
- Primary Topic
- Microwave Imaging and Scattering Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Österreichische Nationalstiftung für Forschung, Technologie und Entwicklung
- Austrian Science Fund
- Christian Doppler Forschungsgesellschaft
- Air Force Office of Scientific Research