论文标题
电磁学的Wigner-Smith时间延迟矩阵：带有evaneScent模式的引导和周期系统
Wigner-Smith Time Delay Matrix for Electromagnetics: Guiding and Periodic Systems with Evanescent Modes
论文作者
论文摘要
Wigner-Smith（WS）时间延迟矩阵将电磁系统的散射矩阵及其频率衍生物联系起来。先前的工作表明，WS时间延迟矩阵的条目通过传播波激发的系统的矩阵由能量样磁场数量的体积积分组成。本文介绍了一种广义的WS关系，该关系适用于通过传播和逃生场的混合物激发的系统。就像其前身一样，广义的WS关系允许识别所谓的WS模式，这些WS模式与系统延迟相互作用。此外，开发了一种技术来从其子系统的WS时间延迟矩阵中计算复合系统的WS时间延迟矩阵。数值示例证明了广义WS方法在表征与具有支持evaneScent模式的指南和周期性结构相互作用的字段所经历的时间延迟时的有用性。
The Wigner-Smith (WS) time delay matrix relates an electromagnetic system's scattering matrix and its frequency derivative. Previous work showed that the entries of WS time delay matrices of systems excited by propagating waves consist of volume integrals of energy-like field quantities. This paper introduces a generalized WS relationship that applies to systems excited by mixtures of propagating and evanescent fields. Just like its predecessor, the generalized WS relationship allows for the identification of so-called WS modes that interact with the system with well-defined time delays. Furthermore, a technique is developed to compute the WS time delay matrix of a composite system from the WS time delay matrices of its subsystems. Numerical examples demonstrate the usefulness of the generalized WS method when characterizing time delays experienced by fields interacting with guiding and periodic structures that have ports supporting evanescent modes.
