一维圆柱形光子晶体中的电子注不稳定性
The electron beam instability in a one-dimensional cylindrical photonic crystal
摘要：
研究了相对论电子注在周期介质填充圆柱波导中的辐射不稳定性。研究了在色散方程根简并区域附近，束流不稳定性增量与辐射波频率的关系。结果表明，在康普顿产生区的双波衍射条件下，束流不稳定性的急剧变化，使束流密度$ρ^{1/4}$的增量与传统规律$ρ^{1/3}$的四次方根成正比，使所考虑系统的辐射产生（放大）与传统器件（返波管、行波管、自由电子激光等）相比有了本质的改善。数值计算的不稳定性增量的各种参数的系统进行。
英文摘要：
The radiative instability of the relativistic electron beam in a periodic dielectric-filled cylindrical waveguide is considered. The dependence of the beam instability increment on the radiated wave frequency near the region of dispersion equation roots degeneracy is studied. It is shown that sharp change in the instability of the beam under the conditions of two-wave diffraction in Compton generation regime, making the increment proportional to the fourth root from the beam density $ρ^{1/4}$ in contrast to conventional law $ρ^{1/3}$, brings radiation generation (amplification) in the considered system to be essentially improved in comparison with conventional devices (BWO, TWT, FEL etc). Numerical calculations of the instability increment for various parameters of the system are performed.
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