Scattering of light from homogeneous spherical particles can exhibit sharp resonances as functions of particle size, wavelength, or refractive index. Such resonances, usually known as morphology-dependent resonances or whispering gallery modes, have been exhaustively studied using Mie theory. This paper demonstrates that the Debye series expansion provides a succinct and easily understood representation of these resonances: For example, the Debye coefficient $R_n^{121}$ determines (a) the exact conditions for resonance, (b) the number of terms required to replicate the Mie result, and (c) the $Q$-factor of the resonance.

中文翻译：

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使用德拜级数分析米氏共振

来自同质球形颗粒的光散射可以表现出作为颗粒大小、波长或折射率的函数的尖锐共振。这种共振，通常被称为形态相关共振或回音壁模式，已经使用 Mie 理论进行了详尽的研究。本文证明了德拜级数展开式提供了这些共振的简洁且易于理解的表示：例如，德拜系数$R_n^{121}$确定 (a) 共振的确切条件，(b) 所需的项数复制 Mie 结果，以及 (c) $Q$ - 共振因子。