Abstract
The “hot” dispersion equation in Cerenkov devices has been derived and analyzed numerically using the self-consistent linear theory. In principle, the linear analysis can be applied to efficiently calculating all kinds of beam-wave interaction in various Cerenkov devices composed of axisymmetric slow-wave structures (SWS) with arbitrary periodic profile. Then the results for Cerenkov devices with three typical SWS profiles are presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
[1] J. Benford, J. Swegle, “High Power Microwave,” USA: Artech House Inc, 1992, ch.2
[2] R. K. Parker, R. H. Abrams, B. G. Danly, and B. Levush, “Vacuum Electronics,” IEEE Trans. MTT, vol.50, no.3, pp.835–845, 2002.
[3] J. A. Swegle, J. W. Poukey, and G. T. Leifeste, “Backward wave oscillators with rippled wall resonators: Analytica theory and numerical simulation,” Phys of Fluids, vol.28, no.9, pp.2882–2894, 1985.
[4] K. Minami, Y. Carmel, V. L. Granatstein et al, “Linear theory of electromagnetic wave generation in plasma—load corrugated-wall resonator,” IEEE Trans PS., vol.18, no.3, pp.537–545, 1990
[5] Y. Gong, W. Wang, and X. Zhou, “Analysis of the Instability in Relativistic Traveling Wave Tube,” International Journal of Infrared and Millimeter Waves, vol.18, no.11, pp.2219–2232, 1997.
[6] K. Liang. “Mathematical and physical method,” High Education Publishing House, ch.5, 1998.
[7] Shanghai Computation Technology Academe, “The down hill method of resolving the complex equation”, Communication of Computation Technology, vol.1, pp.6568, 1977.
[8] H.Bach, “Complex root finding,” Comunications of the ACM, vol.12,pp.686–687, 1969.
[9] K.Tanaka, K. Minami, X. Zheng, et al. “Propagating Quasi-TE modes in a Vacuum Axisymmetric Corrugated-wall Wave guide,” IEEE Trans PS., vol.26, no.3, pp.940–946, 1998.
[10] P. Wang, X. Zhou, J. A. Nation, S. Banna and L. Schachter, “Symmetric and Asymmetric Mode Interaction in High-Power Traveling Wave Amplifiers: Experiments and Theory,” IEEE Trans PS., vol.28, no.6, pp.2262–2271, 2000.
[11] A. N. Valsov, A. G. Shkvarunets, J. C. Rodgers, et al. “Overmoded GWClass Surface-Wave Microwave Oscillator,” IEEE Trans PS., vol.28, no.3, pp.550–560, 2000.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wang, H., Yang, Z. & Liang, Z. Linear Theory of the Beam-Wave Interaction in the Arbitrary Cylindrical Cerenkov Device. Int J Infrared Milli Waves 26, 375–386 (2005). https://doi.org/10.1007/s10762-005-3435-9
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10762-005-3435-9