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Analysis of the injection-locked magnetron with a mismatched circulator |
Yue Song (岳松)a b, Zhang Zhao-Chuan (张兆传)a, Gao Dong-Ping (高冬平)a |
a Key Laboratory of High Power Micriwave Sources and Technology, Institute of Electronics, Chinese Academy of Sciences, Beijing 100190, China; b University of Chinese Academy of Sciences, Beijing 100049, China |
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Abstract Based on the scatter matrix of the four-port lossless mismatched circulator, the phase differential equation of the injection-locked magnetron is derived by comparing different effects of the mismatched and perfect circulator on the injection ratio. Besides, the locking range of the injection-locked magnetron with the mismatched circulator is deduced by functional operation. In addition, the phase differential equation and the locked bandwidth of the injection-locked system with a mismatched circulator are compared with those of the small injection-ratio case with a perfect circulator. The influence of the circulator reflection coefficient on the injection-locked magnetron is also analyzed by numerical calculation. Theoretical analysis shows that the decrement of the locked bandwidth is less than 1% and decrement of the stable phase difference is less than 1.2% when the reflection coefficient is less than 0.1.
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Received: 06 January 2014
Revised: 18 February 2014
Accepted manuscript online:
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PACS:
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84.40.Fe
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(Microwave tubes (e.g., klystrons, magnetrons, traveling-wave, backward-wave tubes, etc.))
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42.25.Kb
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(Coherence)
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52.65.Rr
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(Particle-in-cell method)
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Fund: Project supported by the National Basic Research Program of China (Grant No. 2013CB328901) and the National Natural Science Foundation of China (Grant No. 11305177). |
Corresponding Authors:
Yue Song
E-mail: yuessd@163.com
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Cite this article:
Yue Song (岳松), Zhang Zhao-Chuan (张兆传), Gao Dong-Ping (高冬平) Analysis of the injection-locked magnetron with a mismatched circulator 2014 Chin. Phys. B 23 088402
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