The drift orbital resonance theory has the potential to analyze and estimate the electron dynamics in a magnetron. Hence it has been utilized to examine the behavior of the rotating electron cloud in a spatial harmonic magnetron (SHM). Alteration of the theory variables, namely the orbital velocities, coefficients of radial expansion, gyrating circle radius, accelerating factor, etc., affects the electron trajectory forming numerous epicycloid, hypocycloid, and circular patterns. These variables are dependent on some of the physical and electrical input parameters, namely the structural geometry, the applied voltage, the applied magnetic field, etc. They thus can be used to alter and predict the rotating electron’s trajectories, which in turn control the device performance as well as help to understand and visualize the response of the rotating electron cloud in the designed SHM. The manuscript also presents the analysis of the nature of the steady-state and transient response of the current components of the designed SHM (operating at 136 GHz) obtained from CST simulations and provide reasonable explanation using drift orbital resonance theory.

中文翻译：

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用漂移轨道共振理论研究空间谐波磁控管中电流分量的瞬态和稳态行为

漂移轨道共振理论具有分析和估计磁控管中电子动力学的潜力。因此，它已被用于检查空间谐波磁控管 (SHM) 中旋转电子云的行为。理论变量的改变，即轨道速度、径向膨胀系数、回转圆半径、加速因子等，影响电子轨迹，形成许多外摆线、内摆线和圆形图案。这些变量取决于一些物理和电输入参数，即结构几何、外加电压、外加磁场等。因此，它们可用于改变和预测旋转电子的轨迹，进而控制器件性能，并有助于理解和可视化设计的 SHM 中旋转电子云的响应。该手稿还分析了从 CST 模拟中获得的设计 SHM（在 136 GHz 下运行）的电流分量的稳态和瞬态响应的性质，并使用漂移轨道共振理论提供了合理的解释。