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Telecommunications and Radio Engineering
SJR: 0.202 SNIP: 0.2 CiteScore™: 0.23

ISSN Imprimir: 0040-2508
ISSN On-line: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v55.i6-7.140
9 pages

Analytical Theory of Orotron in the Hard Excitation Mode

G. A. Alexeev
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine


The representation of the components of electron interaction power by the polynomials of the sixth order obtained by using the method of iterations and forcibly harmonized solution for the electron transit angle is taken as a basis for analyzing the steady-state oscillation modes of the orotron-type devices with a uniform field amplitude distribution. It is demonstrated that, depending on the value of the relative transit electron angle, orotron can enter a soft or hard mode of excitation. The analytical relations for electron efficiency, frequency shift, stability of limit cycles and non-isochronism of oscillations are found that describe the electron hysteresis effect in terms of the accelerating voltage and current. It is shown that the nature of the electron hysteresis is conditioned by specific features of nonlinear dynamics of the transit electrons, and the hysteresis is an immediate result of the variation of the average electron velocity within the interaction space.

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