论文标题
基于粒子中的模拟,用于相互作用的热慢波结构的行驶波管本本征索求解器
Traveling Wave Tube Eigenmode Solver for Interacting Hot Slow Wave Structure Based on Particle-In-Cell Simulations
论文作者
论文摘要
提出了一种表征沿行动波管(TWT)的电子束电磁功率交换的动力学的方案。该方法基于在离散的周期性位置沿TWT定义状态矢量,并确定“热”慢波结构(SWS)的单位电池的转移矩阵,该矩阵考虑了电磁引导场与电子束之间通过粒子束(PIC)模拟之间的相互作用。一旦获得了单位细胞转移矩阵的估计值,我们将展示如何通过使用Floquet理论来找到热sws中的杂种,束电磁,热sws中的特征磁性,即电磁引导场与电子束相互作用。特别是,我们显示如何确定混合模式的复杂值波数和与之相关的特征向量。该方法用于找到具有复杂波数的热模式,该模式可以在带有螺旋SWS的TWT放大器中支持。当频率和梁电压变化时,我们显示了混合模式的模态复合体的分散关系;结果与皮尔斯理论一致。该方法还用于基于蛇形波导的毫米波Twt放大器的热sws中找到复杂的波形模式。该技术是一般的,可以应用于电磁模式与电子束相互作用的任何SWS几何形状。
A scheme to characterize the dynamics of the electron beam-electromagnetic power exchange along a traveling wave tube (TWT) is proposed. The method is based on defining a state vector at discrete periodic locations along the TWT and determining the transfer matrix of the unit-cell of the "hot" slow-wave structure (SWS) that takes into account the interaction between the electromagnetic guided field and the electron beam via particle-in-cell (PIC) simulations. Once the estimate of the unit-cell transfer matrix is obtained, we show how to find the hybrid, beam-electromagnetic, eigenmodes in the hot SWS, i.e., where the electromagnetic guided field interacts with an electron beam, by using Floquet theory. In particular, we show how do determine the complex-valued wavenumbers of the hybrid modes and the eigenvectors associated to them. The method is applied to find the hot modes with complex wavenumber that can be supported in a TWT amplifier with a helix SWS. We show dispersion relations of the modal complex wavenumbers of the hybrid modes when varying frequency and beam voltage; the results are in agreement with Pierce theory. The method is also applied to find the complex-wavenumber modes in a hot SWS of a millimeter wave TWT amplifier based on a serpentine waveguide. The technique is general and can be applied to any SWS geometry where electromagnetic modes interact with an electron beam.