Scattering of electromagnetic fields by a moving boundary: The one-dimensional case
Scattering of electromagnetic fields by a moving boundary: The one-dimensional case
复制标题
DOI：
10.1109/tap.1980.1142445
复制
发表时间：
1980-11
影响因子：
5.7
通讯作者：
J. Cooper
中科院分区：
文献类型：
--
作者：
J. Cooper
研究了当平面波正常入射到运动中的完美导电平板上时产生的散射场。分析周期性和非周期性运动的精确解。将准稳态近似与精确解进行比较，发现误差约为 β = \upsilon_{M}c^{-1}，其中 \upsilon_{M} 是移动边界的最大速度，c 是光速。该误差估计包括随着距板的距离增加而增加的因素。提出了一种均匀准稳态近似，其误差约为 β 量级，与空间变量无关。通过考虑多普勒频移，可以构造a_{M}c^{-2}量级的精确解的均匀近似，其中a_{M}是边界的最大加速度。
The scattered field is studied that results when a plane wave is normally incident on a perfectly conducting flat plate in motion. The exact solution is analyzed for both periodic and aperiodic motion. The quasi-stationary approximation is compared with the exact solution, and the error is found to be on the order of \beta = \upsilon_{M}c^{-1} where \upsilon_{M} is the maximum speed of the moving boundary and c is the speed of light. This error estimate includes a factor which increases as the distance from the plate increases. A uniform quasi-stationary approximation is developed which has an error on the order of \beta independent of the space variable. By taking into account the Doppler shift, it is possible to construct a uniform approximation to the exact solution on the order of a_{M}c^{-2} where a_{M} is the maximum acceleration of the boundary.