Radiation instability in a split-cavity resonator
Abstract
The interaction of an electron beam with the electromagnetic field of a split resonator that consists of a hollow cylindrical resonator and a conducting grid dividing it into coupled sections was considered. In the small-signal approximation, taking into account the space charge of the beam for an asymmetric resonator, the expression for the energy loss by the electron passing through the system was obtained. Within the chosen approximation, it was shown that a resonator with equal length sections provides greater efficiency in the transfer of energy from a charged particles beam to an electromagnetic field in comparison with an asymmetric system configuration. It was found that the interaction of an electron with a space charge in a split resonator leads to the increase of the radiation beam instability with the increase of its density. The effect of current modulation of the electron beam passing through the system was studied. It was shown that the resonator size increase leads to the increase of the amplitude of the beam current variable component at the system output. The increase of the current density of the beam entering the interaction region also leads to the increase of the modulation efficiency. The possibility of increasing the modulated current amplitude in a system with unequal sections was considered.
References
- Marder BM, Clark MC, Bacon LD, Hoffman JM, Lemke RW, Coleman PD. The split-cavity oscillator: a high-power E-beam modulator and microwave source. IEEE Transactions on Plasma Science. 1992;20(3):312–331. DOI: 10.1109/27.142833.
- Baryshevsky VG. Relativistic split-cavity oscillator. arXiv:1402.3403 [Preprint]. 2014 [cited 2019 March 12]. Available from: https://arxiv.org/abs/1402.3403.
- Lemke RW, Collins Clark M, Marder BM. Theoretical and experimental investigation of a method for increasing the output power of a microwave tube based on the split-cavity oscillator. Journal of Applied Physics. 1994;75(10):5423–5432. DOI: 10.1063/ 1.355698.
- Jun-Tao H, Hui-Huang Z, Bao-Liang Q, Yong-Gui L. A new method for increasing output power of a three-cavity transit time oscillator. Chinese Physics Letters. 2004;21(7):1302–1305. DOI: 10.1088/0256-307X/21/7/033.
- Joaquim J Barroso, Joaquim Paulino Leite Neto. Coupled circular cavities for transit-time microwave tubes. IEEE Transactions on Plasma Science. 2010;38(6):1385–1390. DOI: 10.1109/TPS.2009.2038384.
- Joaquim J Barroso. Electron bunching in split-cavity monotrons. IEEE Transactions on Plasma Science. 2009;56(9):2150 –2154. DOI: 10.1109/TED.2009.2026323.
- Sotnikov GV, Tkach YuV, Scherbina SL. Eigen frequencies and field structure of axially symmetric split-cavities. Electromagnetic Phenomena. 2008;8(1–19):46 – 61.
- Yun-Jian Z, Qiao-Sheng MA, Xiong L. Study of a compact external magnetic field radial split-cavity oscillator. Chinese Physics C. 2011;35(4):381–386. DOI: 10.1088/1674-1137/35/4/011.
- Zhikai F, Qingxiang L, Daibing C, Jie T, Haijing Z. Theoretical and experimental researches on C-band three-cavity transit-time effect oscillator. Science in China. Series G. Physics Mechanics and Astronomy. 2004;47(3):310 –329. DOI: 10.1360/02yw0316.
- Billen JH, Young LM. Poisson Superfish, LA-UR-96-1834.
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