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

2024/07/17 by Dong, Yakun, Kamran Sadiq, Sadiq, Kamran +4 · 1 citation
Engineering · Mathematics · #46E22 #65J22 #78A46 #FOS: Mathematics #FOS: Physical sciences #Geophysical Methods and Applications #Mathematical Physics (math-ph) #Microwave Imaging and Scattering Analysis #Numerical Analysis (math.NA) #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2407.12656

openalex publication_date 2024/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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 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.

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