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Transportation of high-current charged-particle beam in coaxial undulator with partially shielded cathode in guide homogeneous magnetic field

机译:大电流带电粒子束在同轴均匀磁场中具有部分屏蔽阴极的同轴波荡器中的传输

摘要

We derive the system of transcendental equations, which gives the equilibrium radii of charged-particle beam and the equilibrium value of square azimuthal momentum of beam boundary in a coaxial magnetic undulator with partially shielded cathode in guide homogeneous magnetic field. We formulate the dynamics equations, which describe the transportation of charged-particle beam. We receive an analytical estimate of the azimuthal and longitudinal momentum of beam boundary. We study the equilibrium and differential equation numerically, compare results received for a coaxial magnetic undulator with shielded and non-shielded cathode and different induction of guide magnetic field.
机译:我们推导了先验方程组,给出了在同质磁场中具有部分屏蔽阴极的同轴电磁波荡器中带电粒子束的平衡半径和束边界的平方方位角动量的平衡值。我们制定了动力学方程,描述了带电粒子束的传输。我们收到了光束边界的方位角和纵向动量的解析估计。我们对平衡方程和微分方程进行了数值研究,比较了带有屏蔽和非屏蔽阴极以及不同的引导磁场感应的同轴磁波荡荡器收到的结果。

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