Polarizability of a dielectric hemisphere
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© 2007 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. http://scitation.aip.org/content/aip/journal/jap
Journal Title
Journal ISSN
Volume Title
School of Electrical Engineering |
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2007
Major/Subject
Mcode
Degree programme
Language
en
Pages
7 pages
Series
Journal of Applied Physics, Volume 102, Issue 4
Abstract
This article presents a method for solving the polarizability of a dielectric hemispherical object as a function of its relative electric permittivity. The polarizability of a hemisphere depends on the direction of the exciting electric field. Therefore, the polarizability can be written as a dyadic consisting of two components, the axial and the transversal polarizabilities, which can be solved separately. The solution is based on an analytical approach where the electrostatic potential function is written as a series expansion. However, no closed-form solution for the coefficients of the series is found, so they must be solved from a matrix equation. This method provides very high accuracy. However, it requires construction of large matrices which consumes both time and memory. Therefore, approximative expressions for the polarizabilities with absolute error less than 10−5 are also presented.Description
Keywords
electromagnetic theory, polarizability, permittivity, electric fields, dielectrics, matrix equations
Other note
Citation
Kettunen, Henrik & Wallén, Henrik & Sihvola, Ari. 2007. Polarizability of a dielectric hemisphere. Journal of Applied Physics. Volume 102, Issue 4. 7 pages. 0021-8979 (printed). DOI: 10.1063/1.2769288.
