时间变化材料中的三维矢量波及其在时间反转聚焦和格林函数恢复中的应用
Three-dimensional vector waves in time-variant materials, with applications in time-reversed focusing and Green's function retrieval
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中文总结 AI 辅助
本文为时间变化材料中的三维电磁和弹性矢量波引入统一波动方程，利用对称性建立动量守恒和格林函数互易关系，并据此推导时间反转聚焦与格林函数恢复的对应方法。
中文摘要 AI 辅助
许多作者研究了时间变化材料中电磁波和机械波的传播与散射行为。大多数研究考虑的是由标量波动方程控制的二维波。本文针对均匀时间变化材料中的三维电磁和弹性动力学矢量波传播与散射，引入了一个统一的波动方程。利用该方程的对称性质，我们建立了净场动量密度的守恒，以及因果与非因果格林函数之间的互易关系。后者被用于推导时间变化材料中经典时间反转聚焦和格林函数恢复的对应形式。
英文摘要
The behavior of wave propagation and scattering in time-variant materials has been studied by many authors, for electromagnetic as well as for mechanical waves. Most studies consider two-dimensional waves, governed by scalar wave equations. Here we introduce a unified wave equation for three-dimensional electromagnetic and elastodynamic vector-wave propagation and scattering in homogeneous, time-variant materials. Using the symmetry properties of this equation, we establish the conservation of net field-momentum density, and a reciprocity relation between causal and acausal Green's functions. The latter relation is exploited in the derivation of the counterparts of classical time-reversed focusing and Green's function retrieval for time-variant materials.
发表机构
- Delft University of Technology（代尔夫特理工大学）
- ETH Zürich（苏黎世联邦理工学院）
机构由 AI 辅助整理，请以论文原文为准。
