Electrostatic boundary problems and T-matrix for the dielectric half-spheroid
Year: 2024
Type: article
Abstract: We solve the electrostatic boundary problems of a dielectric or conducting hemispheroid (half-spheroid) under arbitrary excitation. The solutions are obtained by expanding the potentials as series of spheroidal harmonics, and integrating over the boundary to obtain matrix equations which can be used to solve for the coefficients. The solutions are used to derive the capacity, polarizability and spatial fields. We simplify the results to that for a hemisphere, which for specific excitation fields agrees with the literature. We make a link to the T-matrix method, and present analytic expressions for the T-matrix and auxiliary Q and P matrices in the electrostatic limit. We show that the standard T-matrix approach of the extended boundary condition method (EBCM) cannot be used for this geometry, and that the P and Q-matrices do not match the EBCM form.
Authors: Matt Majic, Johan C.-E. Stén
Institutions: Victoria University of Wellington, University of Helsinki
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,350
OpenAlex ID: W4404815373