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

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

doi:10.1093/qjmam/hbad005

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

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

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 language	English (US)
Pages (from-to)	297-314
Number of pages	18
Journal	Quarterly Journal of Mechanics and Applied Mathematics
Volume	76
Issue number	3
DOIs	https://doi.org/10.1093/qjmam/hbad005
State	Published - Aug 1 2023

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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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.",

author = "Tsitsas, {Nikolaos L.} and Alkhoori, {Hamad M.} and Akhlesh Lakhtakia",

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AU - Alkhoori, Hamad M.

AU - Lakhtakia, Akhlesh

N1 - Publisher Copyright: © The Author, 2023. Published by Oxford University Press.

PY - 2023/8/1

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N2 - 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.

AB - 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.

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

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