Smith–Purcell radiation from a point charge moving parallel to a reflection grating
Smith–Purcell radiation from a point charge moving parallel to a reflection grating
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DOI：
10.1364/josa.63.001588
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发表时间：
1973-12
影响因子：
--
通讯作者：
P. M. Berg
中科院分区：
文献类型：
--
作者：
P. M. Berg
针对以恒定速度平行于完美导电光栅移动的点电荷的辐射问题，获得了严格的解决方案。相关的矢量电磁问题被简化为两个二维标量问题。采用两个问题的格林函数公式。对于这两种情况，都导出了剩余未知函数的第二类积分方程。该积分方程通过矩量法进行数值求解。给出了正弦光栅上方移动点电荷辐射的一些数值结果；特别是，对点电荷的功率损耗进行了估计。
A rigorous solution is obtained for the problem of radiation from an electric point charge that moves, at a constant speed, parallel to an electrically perfectly conducting grating. The relevant vectorial electromagnetic problem is reduced to two two-dimensional scalar ones. A Green’s-function formulation of the two problems is employed. For both cases, an integral equation of the second kind for the remaining unknown function is derived. This integral equation is solved numerically by a method of moments. Some numerical results for the radiation from a moving point charge above a sinusoidal grating are presented; in particular, the power losses of the point charge have been estimated.