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Mathieu functions approach to bidimensional scattering by dielectric elliptical cylinders

Computational Physics 2008-08-18 v1

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.

Keywords

Cite

@article{arxiv.0808.2123,
  title  = {Mathieu functions approach to bidimensional scattering by dielectric elliptical cylinders},
  author = {E. Cojocaru},
  journal= {arXiv preprint arXiv:0808.2123},
  year   = {2008}
}

Comments

10 pages, 3 figures

R2 v1 2026-06-21T11:10:40.491Z