带电粒子束团通过小周期波纹表面的表面辐射
Surface radiation of a charged particle bunch passing through a corrugated surface with a relatively small period
摘要：
研究了带电粒子束通过波纹状导电表面时的辐射问题。假设周期和深度远小于所考虑的波长。在这种情况下，波纹结构可以用满足所谓的等效边界条件（EBC）的光滑表面来代替。使用EBC方法，我们得到的频谱积分的形式提出的聚束的电磁场的表达式。结果表明，聚束产生的表面波沿波纹传播与光速。此外，我们提出的电磁场分量的表面波依赖于坐标的数值计算结果，并表明这些依赖性可以用于确定的聚束尺寸。
英文摘要：
We investigate radiation of a charged particle bunch moving through a corrugated planar conductive surface. It is assumed that the corrugation period and depth are much less than the wavelengths under consideration. In this case, the corrugated structure can be replaced with some smooth surface on which the so-called equivalent boundary conditions (EBC) are fulfilled. Using the EBC method we obtain expressions for the electromagnetic field of the bunch which are presented in form of spectral integrals. It is demonstrated that the bunch generates surface waves propagating along the corrugations with the light velocity. Also we present results of numerical calculations for electromagnetic field components of surface waves depending on coordinates and show that these dependences can be used for determination of the bunch size.
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