THEORY OF PERTURBATION OF ELECTROSTATIC FIELD BY A COATED ANISOTROPIC DIELECTRIC SPHERE

Nikolaos L. Tsitsas, Hamad M. Alkhoori, Akhlesh Lakhtakia

Research output: Contribution to journalArticlepeer-review

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Abstract

A boundary-value problem was formulated for perturbation of an electrostatic field by a coated dielectric sphere made of two distinct linear anisotropic dielectric (LAD) materials. Specific affine transformations were employed to represent the electric potential inside the core and the coating in terms of the solutions of the Laplace equation. A transition matrix was found to relate the source potential and the perturbation potential in the exterior region. The formulation can be straightforwardly extended to concentrically multilayered spheres made of several homogeneous LAD materials.

Original languageEnglish (US)
Pages (from-to)297-314
Number of pages18
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume76
Issue number3
DOIs
StatePublished - Aug 1 2023

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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