Theory of perturbation of electric potential by a 3D object made of an anisotropic dielectric material

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

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The extended boundary condition method (EBCM) was formulated for the perturbation of a source electric potential by a 3D object composed of a homogeneous anisotropic dielectric medium whose relative permittivity dyadic is positive definite. The formulation required the application of Green’s second identity to the exterior region to deduce the electrostatic counterpart of the Ewald–Oseen extinction theorem. The electric potential inside the object was represented using a basis obtained by implementing an affine bijective transformation of space to the Gauss equation for the electric field. The EBCM yields a transition matrix that depends on the geometry and the composition of the 3D object, but not on the source potential.

Original languageEnglish (US)
Article number115010
JournalJournal of Physics Communications
Volume5
Issue number11
DOIs
StatePublished - Nov 2021

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

Fingerprint

Dive into the research topics of 'Theory of perturbation of electric potential by a 3D object made of an anisotropic dielectric material'. Together they form a unique fingerprint.

Cite this