TY - JOUR
T1 - THEORY OF PERTURBATION OF ELECTROSTATIC FIELD BY A COATED ANISOTROPIC DIELECTRIC SPHERE
AU - Tsitsas, Nikolaos L.
AU - Alkhoori, Hamad M.
AU - Lakhtakia, Akhlesh
N1 - Publisher Copyright:
© The Author, 2023. Published by Oxford University Press.
PY - 2023/8/1
Y1 - 2023/8/1
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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U2 - 10.1093/qjmam/hbad005
DO - 10.1093/qjmam/hbad005
M3 - Article
AN - SCOPUS:85178134569
SN - 0033-5614
VL - 76
SP - 297
EP - 314
JO - Quarterly Journal of Mechanics and Applied Mathematics
JF - Quarterly Journal of Mechanics and Applied Mathematics
IS - 3
ER -