论文标题
Cherenkov辐射的电荷通过“倒”圆锥目标飞行
Cherenkov Radiation of a Charge Flying through the "Inverted" Conical Target
论文作者
论文摘要
分析了通过电锥中真空通道的电荷产生的辐射。假定电荷从顶端移到底侧(“倒”锥体的情况)。圆锥大小应该比正在考虑的波长大得多。我们使用先前论文中开发的“孔径方法”计算目标外的波场。与之前考虑的问题相反,这里直接在光圈上发生的波浪不是主波,而一度从侧面反射的波则更为重要。获得了辐射场的一般公式,并分析了射线光学区域和Fraunhofer区域的特定情况。讨论了包括“切伦科夫聚光灯”的现象,包括重大的物理效果。特别是表明,这种现象允许在问题参数的某些选择下达到远场区域的辐射强度的必要增强。由于“倒”锥几何形状,可以通过正确选择锥体材料和顶点角来实现这种效果,包括任意电荷速度,包括超相对论情况。证明了远场区域的典型辐射模式。
Radiation generated by a charge moving through a vacuum channel in a dielectric cone is analyzed. It is assumed that the charge moves through the cone from the apex side to the base side (the case of "inverted" cone). The cone size is supposed to be much larger than the wavelengths under consideration. We calculate the wave field outside the target using the "aperture method" developed in our previous papers. Contrary to the problems considered earlier, here the wave which incidences directly on the aperture is not the main wave, while the wave once reflected from the lateral surface is much more important. The general formulas for the radiation field are obtained, and the particular cases of the ray optics area and the Fraunhofer area are analyzed. Significant physical effects including the phenomenon of "Cherenkov spotlight" are discussed. In particular it is shown that this phenomenon allows reaching essential enhancement of the radiation intensity in the far-field region at certain selection of the problem parameters. Owing to the "inverted" cone geometry, this effect can be realized for arbitrary charge velocity, including the ultra relativistic case, by proper selection of the cone material and the apex angle. Typical radiation patterns in the far-field area are demonstrated.