Finding the polarizability of dielectric half-ellipse

Mehwish Nisar, Sidra Batool, Fabio Mangini, Henrik Wallén, Ari Sihvola and Fabrizio Frezza

Journal of Electromagnetic Waves and Applications, 2024, vol. 38, issue 1, 134-149

Abstract: This article studies the electrostatic response of a two-dimensional dielectric half-ellipse. A semianalytical method is presented for solving the polarizability of a half-ellipse as a function of its relative permittivity. The polarizability depends on the direction of incident field, and therefore, it is written as a dyadic with two perpendicular components. These are called series and parallel polarizability, and they are solved separately. The solution requires a series expansion of the potential function, and the coefficients must be obtained numerically, through an inversion of a finite matrix equation. Numerical results are presented for the polarizability components of the half-ellipse as functions of its geometry and permittivity.

Date: 2024
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DOI: 10.1080/09205071.2023.2277189

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