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首页> 外文期刊>Optics Communications: A Journal Devoted to the Rapid Publication of Short Contributions in the Field of Optics and Interaction of Light with Matter >An electromagnetic multipole expansion beyond the long-wavelength approximation
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An electromagnetic multipole expansion beyond the long-wavelength approximation

机译：超出长波长近似的电磁多极扩展

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摘要

The multipole expansion is a key tool in the study of light-matter interactions. All the information about the radiation of and coupling to electromagnetic fields of a given charge-density distribution is condensed into few numbers: The multipole moments of the source. These numbers are frequently computed with expressions obtained after the long-wavelength approximation. Here, we derive exact expressions for the multipole moments of dynamic sources that resemble in their simplicity their approximate counterparts. We validate our new expressions against analytical results for a spherical source, and then use them to calculate the induced moments for some selected sources with a non-trivial shape. The comparison of the results to those obtained with approximate expressions shows a considerable disagreement even for sources of subwavelength size. Our expressions are relevant for any scientific area dealing with the interaction between the electromagnetic field and material systems. (C) 2017 Elsevier B.V. All rights reserved.
机译：多极扩展是浅品相互作用研究的关键工具。关于给定电荷密度分布的电磁场辐射和耦合的所有信息被凝结成几个数字：源的多极矩。这些数字经常使用在长波长近似之后获得的表达式计算。在这里，我们为动态源的多极矩的精确表达式推出了类似于它们的近似对应物的简单性的动态源的多极矩。我们验证了我们对球面来源的分析结果的新表达，然后使用它们来计算具有非平凡形状的一些所选源的诱导力矩。结果对具有近似表达的结果的比较表明，即使对于亚壳长度的来源，也显示了相当大的分歧。我们的表达与处理电磁场和材料系统之间相互作用的任何科学领域相关。 （c）2017年Elsevier B.V.保留所有权利。

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