时空交叉映射及其在波散射中的应用
Space-Time Cross-Mapping and Application to Wave Scattering
摘要：
因果关系造成了空间和时间之间的不对称性，尽管波动方程将它们平等对待。在这项工作中，我们利用这种不对称性来构建空间和时间之间的交叉映射。这种交叉映射被应用于简化空间变化介质中的散射，通过消除界面之间的无限反射。该方法将隐式传输矩阵法转化为显式方法，用于分析分层介质的电磁场散射。
英文摘要：
Causality creates an asymmetry between space and time, even though the wave equation treats them on equal footing. In this work, we leverage this asymmetry to construct a cross-mapping between space and time. This cross-mapping is applied to simplify scattering in space-varying media, by eliminating the infinite reflections between interfaces. The method is shown to transform the implicit transfer matrix method into an explicit method for the analysis of electromagnetic field scattering by a stratified medium.
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