电磁波在变截面色散介质波导中的分位数运动
Quantile motion of electromagnetic waves in wave guides of varying cross section and dispersive media
摘要：
我们讨论了应用分位数的概念的轨迹和速度的电磁信号的传播在波导管的变化截面。分位数运动是对量子力学和经典电动力学中可测守恒量输运性质的一般描述。在后一种情况下，我们认为电磁能的分位数运动是物理测量的直接结果。在这个意义上，分位数速度也对应于传播介质中存在障碍和不均匀性时的电磁信号速度。我们表明，这个信号的速度总是小于真空中的光速。使用数值例子，我们展示了如何典型的波现象可以描述的分位数运动。
英文摘要：
We discuss applications of the quantile concept of trajectories and velocities to the propagation of electromagnetic signals in wave guides of varying cross section. Quantile motion is a general description of the transport properties of measurable conserved quantities in quantum mechanics as well as in classical electrodynamics. In the latter case we consider the quantile motion of electromagnetic energy as the direct result of a physical measurement. In this sense the quantile velocity corresponds to the electromagnetic signal velocity also in the presence of barriers and inhomogeneities in the medium of propagation. We show that this signal velocity is always smaller than the speed of light in vacuum. Using numerical examples we demonstrate how typical wave phenomena can be described in terms of the quantile motion.
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