Electromagnetic Waves Scattering on an Array Composed of Thin Dielectric Objects

This research concerns the scattering of electromagnetic waves by thin dielectric impediments in 2D geometry. Dielectric and geometric properties of the impediments are modeled by varying the inhomogeneous component of the refractive index. It is assumed that the impediments have arbitrary finite lengths, and their widths are much lesser in comparison with the incident wavelength. In contrast to the previous approaches the proposed one enables us to solve the scattering problem simultaneously on several objects in the case where the impediments structure is not a regular one. A system of integral equations to provide a solution to the problem is derived. A unique solvability of the obtained system is discussed. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.