Waveguides Containing Moving Dispersive Media
Waveguides Containing Moving Dispersive Media
复制标题
DOI：
10.1109/tmtt.1967.1126553
复制
发表时间：
1967-11
影响因子：
4.3
通讯作者：
H. Gruenberg;P. Daly
中科院分区：
文献类型：
--
作者：
H. Gruenberg;P. Daly
本文导出了含有色散介质的任意复合波导结构在相对运动中模的色散曲线和相速度变化的摄动公式。当介质为具有任意速度分布的流体时，这些公式也是有效的。它表明，相对论变换规律的频率和波矢量的均匀平面波也是有效的波导模式，提供所有的移动介质，使该指南以相同的速度移动。当运动介质是色散的时，也存在困难。一般来说，人们大多数直接从场方程或微扰公式获得色散关系。用这两种方法计算了一个简单表面波沿运动等离子体与电介质界面的沿着传播的例子。作为一个有趣的侧面结果，它被发现，平面波在无界各向同性等离子体的相速度独立的等离子体的运动。
Perturbation formulas are derived for the changes in the dispersion curves and phase velocity for the modes in an arbitrary composite waveguide structure containing dispersive media in relative motion. The formulas are also valid when the media are fluids with arbitrary velocity distributions. It is shown that the relativistic transformation laws for the frequency and wave vector of uniform plane waves are also valid for waveguide modes provided that all moving media that make up the guide move with the same velocity. There are also difficulties when the moving media are dispersive. In general, one most therefore obtain the dispersion relation directly from the field equations or from the perturbation formulas. An example involving a simple surface wave along the interface of a moving plasma and a dielectric is worked out by both methods. As an interesting side result, it is found that plane waves in an unbounded isotropic plasma have phase velocities independent of the motion of the plasma.