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首页> 外文期刊>Applied Computational Electromagnetics Society journal >Correlation between the geometrical characteristics and dielectric polarizability of polyhedra
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Correlation between the geometrical characteristics and dielectric polarizability of polyhedra

机译：多面体的几何特性与介电极化率之间的相关性

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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).
机译：本文分析了五个规则多面体（四面体，立方，八面体，十二面体和二十面体）和球体的极化特性。特别是，极化率的变化（极化率是单位振幅入射电场引起的静态偶极矩的振幅）与这些柏拉图固体的各种几何参数相关：比表面，边数，顶点和面，以及内切和外切球体的体积。结果发现，理想导体（PEC）和理想电绝缘体（PEI）的极化率与两个不同参数密切相关：外切球和内切球的半径比（PEC情况）和内切球的归一化半径球体（PEI情况）。

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