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Nonstationary nonlinear theory of O-type resonant generators

 

作者: A.A. Shmat'ko,   O.A. Tretiykov,   D.M. Vavriv,  

 

期刊: Radiation Effects  (Taylor Available online 1978)
卷期: Volume 35, issue 4  

页码: 193-199

 

ISSN:0033-7579

 

年代: 1978

 

DOI:10.1080/00337577808233156

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

A nonstationary nonlinear theory of electron-wave interaction has been developed for microwave resonant generators. The system of the integro-differential equations determining the amplitude and phase of the excited oscillations in the high Q-resonant system is obtained. For most cases the solutions of the non-stationary nonlinear interaction equations have been found numerically. However, in certain cases such as in the linear region and in the steady-state of the excited oscillations analytical treatments are developed. Transient performances of the radiation of the electron beam and the estimates for the starting current and the amplitude of the stationary oscillations are presented. The application of the obtained equations for the generator pulse is discussed. The solution for the equation of motion is solved and the oscillation period of the electrons in the wave field is determined analytically.

 

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