Work

Computational inverse scattering with internal sources: A reproducing kernel Hilbert space approach

Year: 2024

Type: article

Abstract: 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.

Source: Physical review. E

DOI: 10.1103/physreve.110.065302

Authors: Yakun Dong, Kamran Sadiq, Otmar Scherzer, John C. Schotland

Institutions: University of Vienna, Johann Radon Institute for Computational and Applied Mathematics, Yale University

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green