均匀介质球的共振散射特性
Resonant Scattering Characteristics of Homogeneous Dielectric Sphere
摘要：
本文重新讨论了均匀单球电磁散射的经典问题。主要的焦点是研究散射行为作为一个功能的材料对比度和尺寸参数的所有电和磁共振的介质球。具体而言，Padé近似的引入和利用作为一个替代系统的Mie系数的扩展。低阶Padé近似可以为散射系统和启用的动力学机制提供紧凑和物理上有见地的表达式。高阶近似用于准确预测谐振极点谱。这些结果被概括为一般的极点公式，涵盖了五阶磁共振和四阶电共振的小介质球。此外，辐射阻尼过程和谐振线宽之间的联系进行了研究。所获得的结果揭示了辐射阻尼机制的基本连接与最大宽度发生每个共振。最后，建议的系统分析用于研究谐振吸收最大值，通过电路启发的角度来看。
英文摘要：
In the present article the classical problem of electromagnetic scattering by a single homogeneous sphere is revisited. Main focus is the study of the scattering behavior as a function of the material contrast and the size parameters for all electric and magnetic resonances of a dielectric sphere. Specifically, the Padé approximants are introduced and utilized as an alternative system expansion of the Mie coefficients. Low order Padé approximants can give compact and physically insightful expressions for the scattering system and the enabled dynamic mechanisms. Higher order approximants are used for predicting accurately the resonant pole spectrum. These results are summarized into general pole formulae, covering up to fifth order magnetic and forth order electric resonances of a small dielectric sphere. Additionally, the connection between the radiative damping process and the resonant linewidth is investigated. The results obtained reveal the fundamental connection of the radiative damping mechanism with the maximum width occurring for each resonance. Finally, the suggested system ansatz is used for studying the resonant absorption maximum through a circuit-inspired perspective.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
