均匀介质中圆柱孔内沿螺旋线运动的电子辐射特性
On features of the radiation from an electron moving along a helix inside a cylindrical hole in a homogeneous dielectric
摘要：
研究了均匀介质中圆柱孔内沿螺旋轨迹运动的电荷的辐射。在大介电常数$ε$和小吸收材料存在的前提下，讨论了含$ε\gg 1$介质的这种辐射特性。结果表明，在定义明确的谐波辐射强度的角分布中有高的峰值。的条件指定的空腔螺旋半径比，$ρ_{1}/ρ_{0}$，在此条件下，角积分辐射强度的一些谐波超过在空的空间。虽然辐射强度的放大率随着$ε$的增加而增加，但相应的$ρ_{1}/ρ_{0}$比的“谐振”值实际上与周围介质的介电常数无关。它表明，一个类似的辐射放大发生基本上为相同的值的$ρ_{1}/ρ_{0}$也为辐射在圆柱形波导与导电壁。对这一现象进行了解释。
英文摘要：
The radiation from a charge moving along a helical trajectory inside a cylindrical hole in homogeneous dielectric medium is investigated. Prompted by availability of materials with large dielectric permittivity $ε$ and small absorption, we discuss the features of this type of radiation for media with $ε\gg 1$. It is shown that there are high peaks in the angular distribution of radiation intensity at well-defined harmonics. The conditions are specified for the cavity-to-helix radii ratio, $ρ_{1}/ρ_{0}$, under which the angle-integrated radiation intensity on some harmonics exceeds that in the empty space. Though the amplification of radiation intensity increases with increasing $ε$, the corresponding "resonant" values of $ρ_{1}/ρ_{0}$ ratio are practically independent of the dielectric permittivity of surrounding medium. It is shown that an analogous amplification of radiation takes place essentially for the same values of $ρ_{1}/ρ_{0}$ also for the radiation in a cylindrical waveguide with conducting walls. An explanation of this phenomenon is given.
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