动态球形多极子的偶极子、移动电荷和电流配置

Matt Majic, Sophia Geris
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摘要

介绍了电场和磁场类型的动态球形多极子的偶极子、移动点电荷和电流环的配置,其场为矢量球形波函数(VSWFs)。这些构型会产生特定程度和阶次的 VSWFs,其极限是 VSWFs 变得无限小。我们发现在某些情况下,频率独立构型的阶数可达 $n=5$ 或更高,这超过了目前文献中最多 $n=3$ 的构型范围,而且我们的 $n=3$ 构型更为简单。我们还研究了与无极点和环状多极点的联系。
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Configurations of dipoles, moving charges and currents for dynamic spherical multipoles
Configurations of dipoles, moving point charges and current loops are presented for the dynamic spherical multipoles of the electric and magnetic type, whose fields are the vector spherical wave functions (VSWFs). The configurations produce the VSWFs of a specific degree and order in the limit that they become infinitely small. We find frequency independent configurations for up to degree $n=5$ or higher in some cases, which exceeds the current range of configurations in the literature for up to $n=3$, and our configurations for $n=3$ are simpler. We also investigate the link with anapoles and toroidal multipoles.
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