Abstract
The self-consistent nonlinear analysis is presented for an overmoded gyrotron, in which the gyrotropic beam interacts with more than one cavity eigenmodes. The nonlinear equations are obtained in the slow time scale for the motion of each individual particle and for the evolution of the amplitude and frequency of each individual cavity eigenmode. A numerically efficient algebraic longtime-step algorithm is developed, which includes magnetostatic field tapering and time transients. Numerical examples are presented for the excitation and competition of the cavity eigenmodes.
Similar content being viewed by others
References
J. L. Hirshfield, I. B. Bernstein, and J. M. Wachtel, IEEE J. Quantum Electron.QE-1, 237 (1965).
A. V. Gaponov, M. I. Petelin, and V. K. Kulpatov, Radiophys. Quantum Electron,10, 794 (1967).
Edwart Ott and Wallace M. Manheimer, IEEE Trans. Plasma Sci.PS-3, 1 (1975).
P. Sprangle and Wallace M. Manheimer, Phys. Fluids18, 224 (1975).
V. L. Granatstein, P. Sprangle, M. Herndon and R. K. Parker, J. Applied Phys.46, 2021 (1975).
V. A. Flyagin, A. V. Gaponov, M. I. Petelin, and V. K. Yulpatov, IEEE Trans. Microwave Theory TechMTT-25, 514 (1977).
J. L. Hirshfield and V. L. Granatstein, IEEE Trans. Microwave Theory Tech.MTT-25, 522 (1977).
P. Sprangle and A. T. Drobot, IEEE Trans. Microwave Theory Tech.MTT-25, 528 (1977).
A. A. Andronov, V. A. Flyagin, A. V. Gaponov, A. L. Gol'denberg, M. I. Petelin, V. G. Usov, and V. K. Yulpatov, Infrared Phys.18, 385 (1978).
H. Jory, S. Hegji, J. Shiverly and R. Symons, Microwave J.21, 30 (1978).
K. R. Chu, Phys. Fluids21, 2354 (1978).
J. Mark Baird, 1979 IEEE International Electron Devices Meeting, Technical Digest, p. 156.
M. E. Read, D. M. Gilgenbach, R. F. Lucey, Jr., K. R. Chu, A. T. Drobot, and V. L. Granatstein, IEEE Trans. Microwave Theory Tech.MTT-28, 875 (1980).
A. V. Gaponov, V. A. Flyagin, A. Sh. Fix, A. L. Gol'denberg, V. I. Khizhnyak, A. G. Luchinin, G. S. Nusinovich, M. I. Petelin, Sh. Ye. Tsimring, V. G. Usov, S. N. Vlasov, and V. K. Yulpatov, Int. J. Infrared Millimeter Waves1, 351 (1980).
M. E. Read, K. R. Chu, and K. J. Kim, Int. J. Infrared Millimeter Waves2, 159 (1981).
K. J. Kim, M. E. Read, J. M. Baird, K. R. Chu, A. Drobot, J. L. Vomvoridis, A. Ganguly, D. Dialetis, and V. L. Granatstein, Int. J. Electron.51, 427 (1981).
D. V. Kisel', G. S. Korablev, V. G. Navel'yev, M. I. Petelin, and Sh. Ye. Tsimring, Radio Eng. and Electronic Phys.19, 95 (1974).
Yu. V. Bykov and A. L. Gol'denberg, Radiophys. Quantum Electron.13, 791 (1975).
P. Sprangle and A. Smith, J. Appl. Phys.51, 3001 (1980).
K. R. Chu, M. E. Read, and A. K. Ganguly, IEEE Trans. Microwave Theory Tech.,MTT-28, 318 (1980).
M. E. Read, K. R. Chu, and A. J. Dudas, IEEE Trans. Microwave Theory Tech.,MTT-30, 42 (1982).
K. E. Kreischer and R. J. Temkin, Int. J. Infrared Millimeter Waves,1, 195 (1980).
K. E. Kreischer and R. J. Temkin, Int. J. Infrared Millimeter Waves2, 175 (1981).
M. A. Moiseev, G. S. Nusinovich, Radiophys. Quantum Electron.17, 1305 (1974).
G. S. Nusinovich, Radiophys. Quantum Electron.19, 1301 (1976).
I. G. Zarnitsyna and G. S. Nusinovich, Radiophys. Quantum Electron.20, 313 (1977).
D. J. Dialetis and K. R. Chu, NRL Memorandum Report 4620 (1981).
J. L. Vomvoridis and J. Denavit, Phys. Fluids22, 367 (1979).
J. L. Vomvoridis and J. Denavit, Phys. Fluids23, 174 (1980).
C. E. Rathmann, J. L. Vomvoridis, and J. Denavit, J. Comput. Phys.26, 408 (1978).
J. L. Vomvoridis and P. Sprangle, NRL Memorandum Report 4426 (1981).
Author information
Authors and Affiliations
Additional information
Work supported by the U.S. Naval Research Laboratory, Plasma Physics Division, under Contract No. N00173-79-C-0200.
Rights and permissions
About this article
Cite this article
Vomvoridis, J.L. Self-consistent nonlinear analysis of overmoded gyrotron oscillators. Int J Infrared Milli Waves 3, 339–366 (1982). https://doi.org/10.1007/BF01006249
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01006249