Complex dynamics of a double-cavity delayed feedback Klystron oscillator

Ryskin, Nikita M.; Shigaev, A.M.

doi:10.1134/s1063784206010117

Cited by 11 publications

(3 citation statements)

References 3 publications

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“…The amplitude mechanism is typical of, e.g., BWOs [3,4], delay-feedback klystron oscillators [27], etc. From the qualitative viewpoint, this mechanism is explained as follows [2].…”

Section: Dynamics Of the Nonlinear Wave Model Of An Fel Amplifiermentioning

confidence: 99%

On the theory of self-modulation instability in an FEL amplifier due to stimulated scattering of counterpropagating waves

Дмитриева

Ryskin

2007

Radiophys Quantum Electron

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We present the results of numerical simulation of the self-modulation processes in an amplifier based on the effect of stimulated scattering of two counterpropagating transverse electromagnetic waves by a relativistic electron beam (FEL amplifier). Two models of the studied system are considered. One model allows for the effects of overbunching of electrons and is based on the modified method of macroparticles. The other is a simplified wave model obtained in the approximation that the amplitude of a combination wave is small if the nonlinearity of the electron-beam processes is negligibly small. The mechanisms of self-modulation are studied. The scenarios of transition to chaos, observed with increase in the input-signal intensity and system length, are examined.

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“…The amplitude mechanism is typical of, e.g., BWOs [3,4], delay-feedback klystron oscillators [27], etc. From the qualitative viewpoint, this mechanism is explained as follows [2].…”

Section: Dynamics Of the Nonlinear Wave Model Of An Fel Amplifiermentioning

confidence: 99%

On the theory of self-modulation instability in an FEL amplifier due to stimulated scattering of counterpropagating waves

Дмитриева

Ryskin

2007

Radiophys Quantum Electron

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“…Klystrons with delayed feedback have been studied theoretically and experimentally [1][2][3][4]. However, in [1][2][3][4] the simplified mathematical models of klystron oscillators based on the delay-differential equations (DDEs) have been used. Such models have some limitations.…”

mentioning

confidence: 99%

“…Such devices are attractive owing to simplicity of the design, high level of power, and efficiency. Klystrons with delayed feedback have been studied theoretically and experimentally [1][2][3][4]. However, in [1-4] the simplified mathematical models of klystron oscillators based on the delay-differential equations (DDEs) have been used.…”

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confidence: 99%

A study of dynamics of a five-cavity klystron with delayed feedback

Emelyanov

Emelianova

2014

2014 Tenth International Vacuum Electron Sources Conference (IVESC)

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The results of numerical modeling of a five-cavity S-band klystron oscillator with delayed feedback are presented. The main oscillation regimes are numerically investigated. An increase in the electron beam current leads to the transition to chaos through the consequence of self-modulation perioddoubling bifurcations.Klystrons are well-known high-power amplifiers. A klystron amplifier can be transformed to a self-excited regenerative oscillator by feeding of part of the output power into the input cavity through a transmission line. Such devices are attractive owing to simplicity of the design, high level of power, and efficiency. Klystrons with delayed feedback have been studied theoretically and experimentally [1][2][3][4]. However, in [1-4] the simplified mathematical models of klystron oscillators based on the delay-differential equations (DDEs) have been used. Such models have some limitations. In particular, the DDE models do not consider self-consistent interaction of electrons with electromagnetic field in the cavities, which is significant in a strongly nonlinear regime. Thus, these models describe well the qualitative behavior of the oscillators but often fail to predict accurately important characteristics of the device such as output power, efficiency, transient time and so on. We use the more rigorous numerical model for simulation of nonlinear dynamics of the five-cavity S-band klystron oscillator with an external delayed feedback. This model is based on the nonstationary Vainshtein theory [5] of cavity excitation and particle-in-cell (PIC) method for simulation of the electron beam dynamics [6].

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Theoretical analysis of cross-talking signals between counter-streaming electron beams in a vacuum tube oscillator

et al. 2006

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The basic theory of cross-talking signals between counter-streaming electron beams in a vacuum tube oscillator consisting of two two-cavity klystron amplifiers reversely coupled through input/output slots is theoretically investigated. Application of Kirchhoff’s laws to the coupled equivalent RLC circuit model of the device provides four nonlinear coupled equations, which are the first-order time-delayed differential equations. Analytical solutions obtained through linearization of the equations provide oscillation frequencies and thresholds of four fundamental eigenstates, symmetric/antisymmetric 0∕π modes. Time-dependent output signals are numerically analyzed with variation of the beam current, and a self-modulation mechanism and transition to chaos scenario are examined. The oscillator shows a much stronger multistability compared to a delayed feedback klystron oscillator owing to the competitions among more diverse eigenmodes. A fully developed chaos region also appears at a relatively lower beam current, ∼3.5Ist, compared to typical vacuum tube oscillators (10-100Ist), where Ist is a start-oscillation current.

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Complex dynamics of a double-cavity delayed feedback Klystron oscillator

Cited by 11 publications

References 3 publications

On the theory of self-modulation instability in an FEL amplifier due to stimulated scattering of counterpropagating waves

On the theory of self-modulation instability in an FEL amplifier due to stimulated scattering of counterpropagating waves

A study of dynamics of a five-cavity klystron with delayed feedback

Theoretical analysis of cross-talking signals between counter-streaming electron beams in a vacuum tube oscillator

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