Adventures in Contemporary Electromagnetic Theory
Adventures in Contemporary Electromagnetic Theory
复制标题
当代电磁理论的冒险
DOI：
10.1007/978-3-031-24617-3_5
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发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Mackay T
中科院分区：
文献类型：
--
作者：
Mackay T
在某些耗散(和有源)各向异性介质材料中，Voigt平面波沿奇异光轴传播。在数学上，Voigt平面波的幅度与传播距离呈线性指数关系，而沿奇异光轴附近方向传播的平面波的依赖关系纯粹是指数关系。对耗散双轴介质材料中Voigt平面波的解剖进行了数值研究。特别是阐明了传播距离与线性指数关系的表现形式。研究了无界双轴材料中的传输和双轴材料平板的反射/透射率。当平面波的传播方向趋向于奇异光轴的方向时，电场和磁场相量以及时间平均的Pointing矢量都有平滑的变化，而与偏振状态无关。此外，双轴介质板的反射率和透射率随着传播方向在单光轴附近的变化而呈现平滑的变化。因此，就振幅与传播距离的关系而言，沿奇异光轴传播的Voigt平面波与沿该奇异光轴近邻方向传播的平面波实际上是无法区分的。
Voigt plane waves propagate along singular optic axes in certain dissipative (and active) anisotropic dielectric materials. Mathematically, the amplitude of a Voigt plane wave exhibits a linear–exponential dependency on propagation distance, whereas the dependency is purely exponential for plane waves that propagate along directions in the neighborhood of a singular optic axis. Numerical studies were undertaken to dissect the anatomy of Voigt plane waves in dissipative biaxial dielectric materials. In particular, the manifestation of the linear–exponential dependency on propagation distance was elucidated. Both propagation in an unbounded biaxial material and reflection/transmission for a slab of biaxial material were investigated. As the direction of plane wave propagation tends toward the direction of a singular optic axis, there is a smooth variation in the electric and magnetic field phasors, and in the time-averaged Poynting vector, regardless of the state of polarization. Furthermore, reflectances and transmittances for a biaxial dielectric slab exhibit smooth variations as the propagation direction varies within the neighborhood of a singular optic axis. Therefore, in terms of amplitude dependency on propagation distance, a Voigt plane wave propagating along a singular optic axis is practically indistinguishable from a plane wave propagating along directions in the immediate neighborhood of that singular optic axis.