中国物理B ›› 2012, Vol. 21 ›› Issue (9): 94102-094102.doi: 10.1088/1674-1056/21/9/094102

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Simplified nonlinear theory of the dielectric loaded rectangular Cerenkov maser

赵鼎, 丁耀根   

  1. Key Laboratory of High Power Microwave Sources and Technologies, Institute of Electronics,Chinese Academy of Sciences, Beijing 100190, China
  • 收稿日期:2011-12-28 修回日期:2012-02-23 出版日期:2012-08-01 发布日期:2012-08-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 60801031).

Simplified nonlinear theory of the dielectric loaded rectangular Cerenkov maser

Zhao Ding (赵鼎), Ding Yao-Gen (丁耀根)   

  1. Key Laboratory of High Power Microwave Sources and Technologies, Institute of Electronics,Chinese Academy of Sciences, Beijing 100190, China
  • Received:2011-12-28 Revised:2012-02-23 Online:2012-08-01 Published:2012-08-01
  • Contact: Zhao Ding E-mail:dzhao@mail.ie.ac.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 60801031).

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摘要： To rapidly and accurately investigate the performance of the dielectric loaded rectangular Cerenkov maser, a simplified nonlinear theory is proposed, in which the variations of wave amplitude and wave phase are determined by two coupled first-order differential equations. Through combining with the relativistic equation of motion and adopting the forward wave assumption, the evolutions of the forward wave power, the power growth rate, the axial wave number, the accumulated phase offset, and the information of the particle movement can be obtained in a single-pass calculation. For an illustrative example, this method is used to study the influences of the beam current, the gap distance between the beam and the dielectric surface, and the momentum spread on the forward wave. The variations of the saturated power and the saturation length with the working frequency for the beams with different momentum spreads have also been studied. The result shows that the beam-wave interaction is very sensitive to the electron beam state. To further verify this simplified theory, a comparison with the result produced from a rigorous method is also provided, we find that the evolution curves of the forward wave power predicted by the two methods exhibit excellent agreement. In practical applications, the developed theory can be used for the design and analysis of the rectangular Cerenkov maser.

关键词: Cerenkov maser, dielectric load, rectangular waveguide, nonlinear theory

Abstract: To rapidly and accurately investigate the performance of the dielectric loaded rectangular Cerenkov maser, a simplified nonlinear theory is proposed, in which the variations of wave amplitude and wave phase are determined by two coupled first-order differential equations. Through combining with the relativistic equation of motion and adopting the forward wave assumption, the evolutions of the forward wave power, the power growth rate, the axial wave number, the accumulated phase offset, and the information of the particle movement can be obtained in a single-pass calculation. For an illustrative example, this method is used to study the influences of the beam current, the gap distance between the beam and the dielectric surface, and the momentum spread on the forward wave. The variations of the saturated power and the saturation length with the working frequency for the beams with different momentum spreads have also been studied. The result shows that the beam-wave interaction is very sensitive to the electron beam state. To further verify this simplified theory, a comparison with the result produced from a rigorous method is also provided, we find that the evolution curves of the forward wave power predicted by the two methods exhibit excellent agreement. In practical applications, the developed theory can be used for the design and analysis of the rectangular Cerenkov maser.

Key words: Cerenkov maser, dielectric load, rectangular waveguide, nonlinear theory

中图分类号:  (Cherenkov radiation)

  • 41.60.Bq
41.20.Jb (Electromagnetic wave propagation; radiowave propagation) 84.40.Ik (Masers; gyrotrons (cyclotron-resonance masers)) 94.05.Pt (Wave/wave, wave/particle interactions)