The scattering problem of obliquely incident electromagnetic waves by an inhomogeneous infinitely long cylinder

• Published in: Physica scripta Vol. 98; no. 11; pp. 115517 - 115529
• Main Authors: Gintides, D, Giogiakas, S, Mindrinos, L
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.11.2023
• Subjects: electromagnetism; inverse scattering problem; reconstruction method; refractive index
• ISSN: 0031-8949; 1402-4896
• DOI: 10.1088/1402-4896/ad0009

Abstract We study the scattering of a time-harmonic electromagnetic wave incident at an oblique angle on a dielectric, isotropic, and fully inhomogeneous cylinder. This infinitely long cylinder is oriented parallel to the z − axis in three dimensions. Our main focus is on the inverse problem, aiming to reconstruct the refractive index of the cylinder. The material parameters’ z − independence allows us to consider the scattering problem only on its horizontal cross-sections. We examine the well-posedness of the direct problem and proceed to numerically solve the corresponding inverse problem for one incident field. To achieve accurate reconstructions of the refractive index, we introduce a novel numerical scheme that yields satisfactory results.