On the electron flow movement in the decelerated wave field with exponentially positive-going amplitude

Authors

  • Yu. V. Kornienko Usikov Institute of Radiophysics and Electronics of the National Academy of Sciences of Ukraine, Ukraine
  • D. S. Masalov Usikov Institute of Radiophysics and Electronics of the National Academy of Sciences of Ukraine, Ukraine

DOI:

https://doi.org/10.3103/S0735272707080055

Abstract

Initially homogeneous electron beam movement in longitudinal electric field of the decelerated electromagnetic wave is discussed. The wave amplitude exponentially increases along the electron’s trajectory. Comparison of solutions obtained numerically and analytically by disturbance method for small amplitude as a sixth approximation is made. It is shown that the approximate solution’s error is small when transit angle is small and the error starts catastrophically rising at some angle’s value. The problem is urgent for building the non-linear clinotron’s theory.

References

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Yu. V. Kornienko, “On electron flow interaction with decelerated electromagnetic wave of O-type generators,” in Radiophysics and Electronics, Radio Physics and Electronics Institute. Ukrainian National Academy of Sciences (Kharkov, 2001), Vol. 6, No. 1, pp. 144–149.

Published

2007-08-05

Issue

Section

Research Articles