Finding the polarizability of dielectric half-ellipse

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

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review


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.

Original languageEnglish
Pages (from-to)134-149
Number of pages16
JournalJournal of Electromagnetic Waves and Applications
Issue number1
Early online date2023
Publication statusPublished - 2024
MoE publication typeA1 Journal article-refereed


  • elliptic coordinates
  • Laplace equation
  • PEC
  • polarizability


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