Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-26T20:15:24.043Z Has data issue: false hasContentIssue false

Relativistic quantum kinetic theory of stimulated bremsstrahlung of an axial vacuum mode by an electron beam travelling in a uniform magnetic field

Published online by Cambridge University Press:  13 March 2009

S. H. Kim
Affiliation:
Department of Physics, University of Texas at Arlington, P.O. Box 19059, Arlington, Texas 76019, U.S.A.

Abstract

Stimulated emission of ordinary plane-polarized electromagnetic waves propagating in the axial direction by a relativistic or non-relativistic electron beam is investigated using a new quantum kinetics based on the Dirac equation. The momentum and energy conservation laws and the time-reversal invariance of the transition probability are used explicitly to calculate the gain without expanding the transition rate as a power series in ħ. It is found that electroncyclotron masing occurs when the longitudinal temperature differs greatly from the transverse temperature for any beam energy. This electron-cyclotron masing is an individual-electron effect, which is not related at all to the phase bunching.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Andronov, A. A., Flyagin, V. A., Gaponov, A. V., Gol'denberg, A. L., Petelin, M. I., Usov, V. G. & Yupatov, V. K. 1978 Infrared Phys. 18, 385.CrossRefGoogle Scholar
Baranger, M. & Mozer, B. 1961 Phys. Rev. 123, 25.CrossRefGoogle Scholar
Canuto, V. & Chu, H. Y. 1968 Phys. Rev. 173, 1210.CrossRefGoogle Scholar
Chu, K. R. & Hirshfield, J. L. 1978 Phys. Fluids 21, 461.CrossRefGoogle Scholar
Davydovsky, V. Ya. 1962 Soviet Phys. JETP 43, 886.Google Scholar
Elias, L. R., Fairbank, W. M., Schwettman, H. A. & Smith, T. I. 1976 Phys. Rev. Lett. 36, 717.CrossRefGoogle Scholar
Friedman, M. & Herndon, M. 1973 Phys. Fluids 16, 1982.CrossRefGoogle Scholar
Granatstein, V. L., Herndon, M., Sprangle, P., Carmel, Y. & Nation, J. A. 1975 Plasma Phys. 17, 23.CrossRefGoogle Scholar
Hopf, F. A., Meystre, P. & Scully, M. O. 1976 Phys. Rev. Lett. 37, 1215.CrossRefGoogle Scholar
Kim, S. H. 1983 Proceedings of 16th International Conference on Phenomena in Ionized Gases, (ed. Bötticher, W., Wenk, H. and Schulz-Gulde, E.), p. 8. University of Düsseldorf.Google Scholar
Kim, S. H. 1986 J. Plasma Phys. 36, 195 [Corrigendum, 41, 577 (1989)].CrossRefGoogle Scholar
Kim, S. H. 1988 J. Plasma Phys. 39, 229.CrossRefGoogle Scholar
Kim, S. H. 1989 a Phys. Lett. 135 A, 39.CrossRefGoogle Scholar
Kim, S. H. 1989 b Phys. Lett. 135 A, 44.CrossRefGoogle Scholar
Kim, S. H. 1990 Free-Electron Laser and Applications, Proceedings of SPIE, no. 1227 (ed. Prosnitz, D.), p. 66. SPIE – the International Society for Optical Engineering.CrossRefGoogle Scholar
Kim, S. H. 1991 a Intense Microwave and Particle Beams II, Proceedings of SPIE, no. 1407 (ed. Brandt, H. E.), p. 620. SPIE – The International Society for Optical Engineering.CrossRefGoogle Scholar
Kim, S. H. 1991 b Nuovo Cim. B 106, 325.CrossRefGoogle Scholar
Kim, S. H. 1991 c Nuovo Cim. B 106, 1311.CrossRefGoogle Scholar
Kim, S. H. 1992 a J. Phys. Soc. Japan 61, 131.Google Scholar
Kim, S. H. 1992 b J. Plasma Phys. 47, 197.CrossRefGoogle Scholar
Kim, S. H. 1992 c J. Plasma Phys. 47, 219.CrossRefGoogle Scholar
Kim, S. H. 1992 d Nuovo Cim. B (in press).Google Scholar
Kim, S. H. 1992 e J. Phys. Soc. Japan (in press).Google Scholar
Kim, S. H. & Chung, H. Y. 1978 J. Appl. Phys. 49, 5081.CrossRefGoogle Scholar
Kolomensky, A. A. & Lebdev, A. N. 1962 Dok. Akad. Nauk SSSR 145, 1269.Google Scholar
Madey, J. M. J. 1971 J. Appl. Phys. 42, 1906.CrossRefGoogle Scholar
Madey, J. M. J. 1978 Nuovo Cim. B 50, 64.CrossRefGoogle Scholar
Nambu, M. 1983 Laser & Particle Beams 1, 427.CrossRefGoogle Scholar
Nambu, M., Sarma, S. N. & Bujarbarua, S. 1990 Phys. Fluids B 2, 302.CrossRefGoogle Scholar
Sarma, S. N., Sarma, K. K. & Nambu, M. 1991 a J. Plasma Phys. 46, 331.CrossRefGoogle Scholar
Sarma, S. N., Sarma, K. K., Nambu, M. & Hada, T. 1991 b Phys Rev. A 43, 5555.CrossRefGoogle Scholar
Schiff, L. I. 1968 Quantum Mechanics. McGraw-Hill.Google Scholar
Twiss, R. Q. 1958 Aust. J. Phys. 11, 564.CrossRefGoogle Scholar
Volkov, D. M. 1935 Z. Phys. 94, 250.Google Scholar