论文标题
载体散射和传输矩阵的对称约束，包含evaneScent成分：节能，互惠和时间逆转
Symmetry constraints for vector scattering and transfer matrices containing evanescent components: energy conservation, reciprocity and time reversal
论文作者
论文摘要
在这项工作中，我们研究了针对平面波的角光谱定义的电场的散射和传递矩阵。对于这些矩阵，我们得出了通过保存能量，互惠和时间逆转对称性来实现的约束。值得注意的是，我们在三个维度上检查了向量场的一般情况，并允许逃生的场成分。此外，我们考虑了连续和离散角光谱所描述的字段，后者与实际应用更相关，例如光散射实验。我们将结果与众所周知的约束进行了比较，例如远场模式的散射矩阵的单位性，并证明了先前的结果从我们的框架中作为特殊情况。最后，我们通过在平面玻璃空气界面上的波传播的简单示例（包括总内部反射的效果）以数值来证明我们的结果。我们的形式主义对散射介质的性质的假设最少，因此适用于广泛的散射问题。
In this work we study the scattering and transfer matrices for electric fields defined with respect to an angular spectrum of plane waves. For these matrices, we derive the constraints that are enforced by conservation of energy, reciprocity and time reversal symmetry. Notably, we examine the general case of vector fields in three dimensions and allow for evanescent field components. Moreover, we consider fields described by both continuous and discrete angular spectra, the latter being more relevant to practical applications, such as optical scattering experiments. We compare our results to better-known constraints, such as the unitarity of the scattering matrix for far-field modes, and show that previous results follow from our framework as special cases. Finally, we demonstrate our results numerically with a simple example of wave propagation at a planar glass-air interface, including the effects of total internal reflection. Our formalism makes minimal assumptions about the nature of the scattering medium and is thus applicable to a wide range of scattering problems.
