Recent experiments demonstrated that the cyclotron cooling rate of an electron plasma in a Penning–Malmberg trap can be increased by placing the plasma in a cavity and adjusting the magnetic field to make the cyclotron motion resonant with a cavity mode. Here this physics is studied with a coupled oscillator model and analyzed both analytically and numerically. Plasma cooling performance is evaluated over a wide range of system parameters, including the number of electrons, the coupling to the local electric field, the magnetic field gradient, and the detuning between the cavity and cyclotron frequencies. Scaling the equations shows that the system is well-described by a few key dimensionless quantities.

中文翻译：

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与微波腔共振相互作用的电子等离子体冷却的计算和理论分析

最近的实验表明，可以通过将等离子体放置在腔中并调整磁场使回旋运动与腔模式共振来提高 Penning-Malmberg 陷阱中电子等离子体的回旋冷却速率。在这里，使用耦合振荡器模型研究了该物理场，并进行了分析和数值分析。等离子体冷却性能在广泛的系统参数范围内进行评估，包括电子数量、与局部电场的耦合、磁场梯度以及腔和回旋加速器频率之间的失谐。对方程进行缩放表明该系统由几个关键的无量纲量很好地描述。