行波管中非线性波的产生和传播
Generation and Propagation of Nonlinear Waves in Travelling Wave Tubes
摘要：
本文研究了行波管、自由电子激光和速调管等微波放大器中非线性波的产生和演化。分析是基于流体力学和场方程的束流密度分布，电流速度和电磁场的自洽演化。本文导出了慢变振幅相互作用束流密度波的耦合非线性薛定谔方程。在忽略其余模式的影响的孤立模式的近似下，该系统简化为针对该特定模式的单个非线性薛定谔方程。
英文摘要：
The generation and evolution of nonlinear waves in microwave amplifiers such as travelling wave tubes, free electron lasers and klystrons have been studied. The analysis is based on the hydrodynamic and field equations for the self-consistent evolution of the beam density distribution, the current velocity and the electromagnetic fields. A system of coupled nonlinear Schrödinger equations for the slowly varying amplitudes of interacting beam-density waves has been derived. Under the approximation of an isolated mode neglecting the effect of the rest of the modes, this system reduces to a single nonlinear Schrödinger equation for that particular mode.
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