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arXiv 1707.08673physics.optics
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固体介质球的漏模

Leaky Modes of Solid Dielectric Spheres

Masud Mansuripur, Miroslav Kolesik, Per Jakobsen

摘要:

在没有外部激励的情况下,被捕获在电介质内的光通常通过泄漏而衰减,并且还通过在介质内被吸收而衰减。我们分析了固体介质球的泄漏模式,通过检查简单的均匀,各向同性,线性色散介质,承认复值振荡频率的麦克斯韦方程组的解决方案。我们表明,在适当的情况下,这些泄漏模式构成一个完整的集合,其中一个初始的电磁场分布内的介质球可以扩展。我们提供了一个完整性证明的轮廓,并提出了数值计算的结果,说明了固体介电球形腔的泄漏模式和谐振之间的密切关系。

英文摘要:

In the absence of external excitation, light trapped within a dielectric medium generally decays by leaking out, and also by getting absorbed within the medium. We analyze the leaky modes of solid dielectric spheres by examining solutions of Maxwell's equations for simple homogeneous, isotropic, linearly dispersive media that admit complex-valued oscillation frequencies. We show that, under appropriate circumstances, these leaky modes constitute a complete set into which an initial electromagnetic field distribution inside a dielectric sphere can be expanded. We provide the outline of a completeness proof, and also present results of numerical calculations that illustrate the close relationship between the leaky modes and the resonances of solid dielectric spherical cavities.

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