基于电磁功率的理想导体特征模理论
Electromagnetic-Power-based Characteristic Mode Theory for Perfect Electric Conductors
摘要：
本文建立了基于电磁功率的PEC系统特征模式理论（PEC-EMP-CMT）。PEC-EMP-CMT方法适用于任意电磁环境下的PEC系统，可以构造复杂的特征电流和非辐射特征模。本文对系统输入阻抗、模态输入阻抗等传统概念进行了讨论，对传统的特征量模态显著性进行了推广，提出了一系列新的基于幂的CM集。本文证明了目标PEC结构的各种基于功率的CM集与外界环境和激励无关;由所有非辐射模态构成的非辐射空间与由封闭PEC结构的所有内部共振模态构成的内部共振空间相同，非辐射CM构成该空间的基。在此基础上，将封闭PEC结构的本征模理论归纳为PEC-EMP-CMT框架。此外，本文还基于能量守恒定律，给出了PEC结构外散射问题的变分公式。
英文摘要：
In this paper, an ElectroMagnetic-Power-based Characteristic Mode Theory (CMT) for PEC systems (PEC-EMP-CMT) is built. The PEC-EMP-CMT is valid for the PEC systems which are surrounded by any electromagnetic environment, and it can construct the complex characteristic currents and non-radiative Characteristic Modes (CMs). In this paper, some traditional concepts, such as the system input impedance and modal input impedance etc., are redefined; the traditional characteristic quantity, Modal Significance (MS), is generalized; a series of new power-based CM sets are introduced. It is proven in this paper that various power-based CM sets of a certain objective PEC structure are independent of the external environment and excitation; the non-radiative space constituted by all non-radiative modes is identical to the interior resonance space constituted by all interior resonant modes of closed PEC structures, and the non-radiative CMs constitute a basis of the space. Based on above these, the normal Eigen-Mode Theory (EMT) for closed PEC structures is classified into the PEC-EMP-CMT framework. In addition, a variational formulation for the external scattering problem of PEC structures is provided in this paper, based on the conservation law of energy.
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