Mathieu functions approach to bidimensional scattering by dielectric elliptical cylinders

TL;DR

This paper presents an analytical method using Mathieu functions to analyze 2D electromagnetic scattering by dielectric elliptical cylinders, providing closed-form relations and exploring effects like focusing and layered dielectric covers.

Contribution

It introduces a novel analytical approach with closed-form relations for scattering coefficients of dielectric elliptical cylinders, including layered configurations.

Findings

Elliptical cylinders focus incident waves under normal illumination.

Layered dielectric covers significantly influence scattering patterns.

The Mathieu functions approach enables precise modeling of complex geometries.

Abstract

Two-dimensional scattering by homogeneous and layered dielectric elliptical cylinders is analyzed following an analytical approach using Mathieu functions. Closed-form relations for the expansion coefficients of the resulting electric field in the vicinity of the scatterer are provided. Numerical examples show the focalizing effect of dielectric elliptical cylinders illuminated normally to the axis. The influence of the confocal dielectric cover on the resulting scattered field is envisaged.