Basic theoretical formulations of plasma microwave electronics. I. A fluid model analysis of electron beam-wave interactions
Basic theoretical formulations of plasma microwave electronics. I. A fluid model analysis of electron beam-wave interactions
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DOI：
10.1109/27.902241
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发表时间：
2000-12
影响因子：
1.5
通讯作者：
L. Shenggang;R. J. Barker;Zhu Da-jun;Y. Yung;G. Hong
中科院分区：
文献类型：
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作者：
L. Shenggang;R. J. Barker;Zhu Da-jun;Y. Yung;G. Hong
这两部分的论文提出了第一个完整的，广义的基本理论公式的电子束波相互作用的等离子体填充（波纹或光滑壁）波导沉浸在一个有限的磁场。推导了光滑和波纹磁化等离子体填充波导中纵向和横向相互作用的一般相互作用方程和色散方程。我们的方法不同于以前的研究者，因为我们开始首先推导的色散关系的MPW，然后使用产生的电磁场，体现等离子体效应，作为基本的场矢量。然后，我们调查的基本相互作用与叠加的电子束在各种微波器件配置。例如，我们研究等离子体切伦科夫辐射，等离子体填充行波管/返波振荡器（TWT/BWO），等离子体填充电子回旋共振脉塞（ECRM），和其他束波相互作用，包括那些涉及离子通道。提出了磁化等离子体填充波导（MPW）中一些可能的新相互作用。对等离子体背景的重要物理作用进行了详细的讨论和分析。许多有趣的功能，注波相互作用的MPW指出，其中三个是最重要的。一是横向相互作用总是伴随着纵向相互作用。第二个是磁化等离子体本身通过场的额外分量强烈参与相互作用机制。第三个有趣的特点是，等离子体填充的ECRM更喜欢在高回旋谐波操作。这两部分的论文的第一部分提出了配方使用流体模型的等离子体和光束。它还包括一个详细的处理的物理效应的离子通道，是在等离子体中形成的强电子束。第二部分通过保留等离子体填充的流体处理，但取代电子束的动力学理论处理，扩展了分析。当必须考虑束流电子的速度分布时，应使用该动力学理论模型。本文的两个部分所提出的理论是基于“给定场”的方法，已被广泛成功地应用于科学和技术，特别是在微波电子学。在这两个部分的文件，样本数值计算也提出了为了说明物理。
This two-part paper presents the first complete, generalized basic theoretical formulation for electron beam-wave interactions in a plasma-filled (corrugated or smooth-walled) waveguide immersed in a finite magnetic field. The general interaction and dispersion equations of the longitudinal and transverse interactions in both smooth and corrugated magnetized plasma-filled waveguides (MPWs) are formulated. Our approach differs from that of previous investigators in that we begin by first deriving the dispersion relation of an MPW and then using the resulting electromagnetic fields, which embody the plasma effects, as the basis field vectors. We then investigate the underlying interactions with a superimposed electron-beam in a variety of microwave device configurations. For example, we examine plasma Cherenkov radiation, the plasma-filled travelling-wave-tube/backward-wave-oscillator (TWT/BWO), the plasma-filled electron cyclotron resonance maser (ECRM), and other beam-wave interactions including those involving ion-channels. Some possible new interactions in a magnetized plasma-filled waveguide (MPW) are proposed. A detailed discussion and analysis of the important physical role of the plasma background are given. Many interesting features of beam-wave interactions in an MPW are pointed out, three of them being most essential. One is that transverse interactions are always accompanied by longitudinal interactions. The second is that the magnetized plasma itself is strongly involved in the interaction mechanisms via an additional component of the field. The third interesting feature is that the plasma-filled ECRM prefers to operate at high cyclotron harmonics. The first part of this two-part paper presents formulations using a fluid model for both the plasma and the beam. It also includes a detailed treatment of the physical effects of the ion channel that is formed in the plasma by an intense electron beam. Part II extends the analyzes by retaining a fluid treatment for the plasma-fill but substituting a kinetic theory treatment for the electron beam. This kinetic theory model should be used when the velocity spread of the beam's electrons must be taken into account. The theory presented in both parts of this paper is based upon the "given field" approach that has been widely used successfully in science and technology, in particular in microwave electronics. In both parts of the paper, sample numerical calculations are also presented in order to illustrate the physics.