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arXiv 2104.08304physics.opticscond-mat.mes-hall
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基于极化模式展开和最小Action原理的电磁散射时域公式

Time-Domain Formulation of Electromagnetic Scattering Based on a Polarization Mode Expansion and the Principle of Least Action

Carlo Forestiere, Giovanni Miano

摘要:

本文提出了一种新的方法来全波分析色散非磁性粒子电磁散射中感应极化的时间演化。它是基于Hopfield模型的极化场的组合,根据静态的纵向和横向模式的粒子的极化场的扩展,扩展的辐射场的横波模式的自由空间,和最小作用量的原则。极化场线性耦合到电磁场。通过极化场与具有连续范围的固有频率的谐振子的线性耦合来提供物质的损耗。通过消除辐射自由度和浴自由度,简化了整个系统的卷积型线性常微分积分方程组,并对简化后的方程组进行了研究。描述了辐射场在偏振的纵模和横模振幅之间的耦合中所起的作用。的模式振幅的时间演化的主要特征被发现作为颗粒尺寸的变化,包括脉冲响应。结果分析可解的球形粒子。所提出的方法导致一个一般的方法,用于分析的时间演化的偏振场诱导的色散粒子的任何形状,以及计算的瞬态和稳态。

英文摘要:

A fresh approach to the full wave analysis of time evolution of the polarization induced in the electromagnetic scattering from dispersive non magnetic particles is presented. It is grounded on the combination of the Hopfield model for the polarization field, the expansion of the polarization field in terms of static longitudinal and transverse modes of the particle, the expansion of the radiation field in terms of transverse wave modes of free space, and the principle of least action. The polarization field is linearly coupled to the electromagnetic field. The losses of the matter are provided through a linear coupling of the polarization field to a bath of harmonic oscillators with a continuous range of natural frequencies. The set of linear ordinary differential integral equations of convolution type of the overall system is reduced by eliminating both the radiation degrees of freedoms and the bath degrees of freedom, and the reduced system of equations is studied. The role played by the radiation field in the coupling between the longitudinal and transverse mode amplitudes of the polarization is described. The principal characteristics of the temporal evolution of the mode amplitudes are found as the particle size varies, including the impulse response. Results are presented for the analytically solvable spherical particle. The proposed approach leads to a general method for the analysis of the temporal evolution of the polarization field induced in dispersive particles of any shape, as well as for the computation of transients and steady states.

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。

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