横向各向同性加载矩形介质内衬加速结构中的尾流场
Wake fields in a rectangular dielectric-lined accelerating structure with transversal isotropic loading
摘要：
介质波导作为一种可被电子束激励的加速结构正受到广泛的研究。矩形电介质结构用于新的加速方案的原理实验证明和用于研究结构加载材料的电子特性。本文分析了强流相对论电子束团通过横向各向同性介质加载矩形波导时产生的切伦科夫辐射。用于加速结构波导加载的一些材料（蓝宝石、陶瓷膜）具有显着的各向异性特性。反过来，它可以影响由电子束产生的尾场的激发参数。本文用Helmholtz方程横算符的正交本征模分解方法，导出了相对论电子束在矩形介质波导中传播所产生的场的一般解。本文给出了横向各向同性介质加载矩形波导中LSM模和LSE模叠加的切连科夫场和库仑场的解析表达式。纵向和横向（偏转）尾流场的数值模拟也已进行。结果表明，介电各向异性引起的频率偏移与各向同性介质加载的介质内衬波导相比。
英文摘要：
Dielectric lined waveguides are under extensive study as accelerating structures that can be excited by electron beams. Rectangular dielectric structures are used both in proof of principle experiments for new accelerating schemes and for studying the electronic properties of the structure loading material. Analysis of Cherenkov radiation generated by high current relativistic electron bunch passing through a rectangular waveguide with transversal isotropic dielectric loading has been carried out. Some of the materials used for the waveguide loading of accelerating structures (sapphire, ceramic films) possess significant anisotropic properties. In turn, it can influence excitation parameters of the wakefields generated by an electron beam. General solutions for the fields generated by a relativistic electron beam propagating in a rectangular dielectric waveguide have been derived using the orthogonal eigenmode decomposition method for the transverse operators of the Helmholtz equation. The analytical expression for the combined Cherenkov and Coulomb fields in terms of a superposition of LSM and LSE-modes of rectangular waveguide with transversal isotropic dielectric loading has been obtained. Numerical modelling of the longitudinal and transverse (deflecting) wakefields has been carried out as well. It is shown that the dielectric anisotropy causes frequency shift in comparison to the dielectric-lined waveguide with the isotropic dielectric loading.
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