Correlation between the geometrical characteristics and dielectric polarizability of polyhedra

This article analyzes polarizability characteristics of the five regular polyhedra (tetrahedron, cube, octahedron, dodecahedron, and icosahedron) and sphere. In particular, the variation of the polarizabilities (polarizability is the amplitude of the static dipole moment caused by an incident electr...

Full description

Saved in:
Bibliographic Details
Published in:Applied Computational Electromagnetics Society journal 2004-03, Vol.19 (1), p.156
Main Authors: Sihvola, Ari, Pasi Yl ̈a- Oijala, Seppo J ̈arvenp ̈a ̈a, Avelin, Juha
Format: Article
Language:English
Subjects:
Amplitudes
Apexes
Correlation
Dipole moments
Electric conductors
Electric fields
Graph theory
Icosahedrons
Parameters
Polyhedra
Tetrahedra
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This article analyzes polarizability characteristics of the five regular polyhedra (tetrahedron, cube, octahedron, dodecahedron, and icosahedron) and sphere. In particular, the variation of the polarizabilities (polarizability is the amplitude of the static dipole moment caused by an incident electric field of unit amplitude) is correlated with various geometrical parameters of these Platonic solids: specific surface, number of edges, vertices, and faces, and the volumes of inscribed and circumscribed spheres. It is found that the polarizabilities of perfect electric conductor (PEC) and perfect electric insulator (PEI) objects are most strongly correlated with two different parameters: the radius ratio of circum- and inscribed spheres (PEC case) and the normalized radius of the inscribed sphere (PEI case).
ISSN:1054-4887
1943-5711