Study of gyrotron synchronization by an external harmonic signal based on a modified quasi-linear theory
Topic. The paper is devoted to the study of synchronization of a gyrotron by an external harmonic signal. A theoretical study of gyrotron synchronization processes by means of a computational experiment based on certain traditional models of microwave electronics does not provide a complete descript...
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Saratov State University
2021
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oai:doaj.org-article:d1a1270c0a184ee4894869e2ceb18c892021-11-30T10:46:59ZStudy of gyrotron synchronization by an external harmonic signal based on a modified quasi-linear theory0869-66322542-190510.18500/0869-6632-2021-29-6-905-914https://doaj.org/article/d1a1270c0a184ee4894869e2ceb18c892021-11-01T00:00:00Zhttps://andjournal.sgu.ru/sites/andjournal.sgu.ru/files/text-pdf/2021/11/grigorieva_905-914.pdfhttps://doaj.org/toc/0869-6632https://doaj.org/toc/2542-1905Topic. The paper is devoted to the study of synchronization of a gyrotron by an external harmonic signal. A theoretical study of gyrotron synchronization processes by means of a computational experiment based on certain traditional models of microwave electronics does not provide a complete description of the synchronization pattern. Therefore, the goal of the paper is to develop a modified quasi-linear model based on an approximation of the electron susceptibility by rational functions. Methods. The developed model allows for bifurcation analysis of synchronization processes. On its basis, stationary states are determined and their stability analysis is carried out. The results are in good agreement with numerical simulation based on the non-stationary theory of a gyrotron with a fixed Gaussian high-frequency field structure. Results and discussion. Resonance curves and synchronization bounds are built on the plane of parameters “amplitude – frequency of external signal”. The case where the gyrotron is in the hard excitation mode is considered, since the maximum efficiency is usually achieved in the hard excitation mode. In general, the results are in qualitative agreement with the picture described earlier for a simpler quasi-linear model of a oscillator with hard excitation, in the case of a sufficiently strong phase nonlinearity.Grigorieva, Nataliia VadimovnaSaratov State Universityarticlegyrotronhard excitationsynchronizationexternal signalnumerical simulationPhysicsQC1-999ENRUИзвестия высших учебных заведений: Прикладная нелинейная динамика, Vol 29, Iss 6, Pp 905-914 (2021) |
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gyrotron hard excitation synchronization external signal numerical simulation Physics QC1-999 |
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gyrotron hard excitation synchronization external signal numerical simulation Physics QC1-999 Grigorieva, Nataliia Vadimovna Study of gyrotron synchronization by an external harmonic signal based on a modified quasi-linear theory |
| description |
Topic. The paper is devoted to the study of synchronization of a gyrotron by an external harmonic signal. A theoretical study of gyrotron synchronization processes by means of a computational experiment based on certain traditional models of microwave electronics does not provide a complete description of the synchronization pattern. Therefore, the goal of the paper is to develop a modified quasi-linear model based on an approximation of the electron susceptibility by rational functions. Methods. The developed model allows for bifurcation analysis of synchronization processes. On its basis, stationary states are determined and their stability analysis is carried out. The results are in good agreement with numerical simulation based on the non-stationary theory of a gyrotron with a fixed Gaussian high-frequency field structure. Results and discussion. Resonance curves and synchronization bounds are built on the plane of parameters “amplitude – frequency of external signal”. The case where the gyrotron is in the hard excitation mode is considered, since the maximum efficiency is usually achieved in the hard excitation mode. In general, the results are in qualitative agreement with the picture described earlier for a simpler quasi-linear model of a oscillator with hard excitation, in the case of a sufficiently strong phase nonlinearity. |
| format |
article |
| author |
Grigorieva, Nataliia Vadimovna |
| author_facet |
Grigorieva, Nataliia Vadimovna |
| author_sort |
Grigorieva, Nataliia Vadimovna |
| title |
Study of gyrotron synchronization by an external harmonic signal based on a modified quasi-linear theory |
| title_short |
Study of gyrotron synchronization by an external harmonic signal based on a modified quasi-linear theory |
| title_full |
Study of gyrotron synchronization by an external harmonic signal based on a modified quasi-linear theory |
| title_fullStr |
Study of gyrotron synchronization by an external harmonic signal based on a modified quasi-linear theory |
| title_full_unstemmed |
Study of gyrotron synchronization by an external harmonic signal based on a modified quasi-linear theory |
| title_sort |
study of gyrotron synchronization by an external harmonic signal based on a modified quasi-linear theory |
| publisher |
Saratov State University |
| publishDate |
2021 |
| url |
https://doaj.org/article/d1a1270c0a184ee4894869e2ceb18c89 |
| work_keys_str_mv |
AT grigorievanataliiavadimovna studyofgyrotronsynchronizationbyanexternalharmonicsignalbasedonamodifiedquasilineartheory |
| _version_ |
1718406711836934144 |