Mathieu functions approach to bidimensional scattering by dielectric elliptical cylinders

Details Mathieu functions approach to bidimensional scattering by dielectric elliptical cylinders Mathieu functions approach to bidimensional scattering by dielectric elliptical cylinders

2008-08-15

arxiv.org/abs/0808.2123v1

Physics

Computational Physics

10 pages, 3 figures

Scientific paper

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.

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