Abstract
Nonlinear frequency shift of space-charge waves in a relativistic electron or positron beam is analyzed. The frequency shift is shown to be a function of the wave amplitude. It is suggested that the frequency shift of beam space-charge waves may be a saturation mechanism for astrophysical free-electron lasers.
References
Baker, D. N., Borovsky, J. E., Benford, G., and Eilek, J. A.: 1988,Astrophys. J. 326, 110.
Begelman, M. C., Blandford, R. D., and Rees, M. J.: 1984,Rev. Modern Phys. 56, 255.
Bogoliubov, N. N. and Mitropolsky, Y. A.: 1961,Asymptotic Methods in the Theory of Nonlinear Oscillations, Hindustan, Delhi.
Chian, A. C.-L.: 1989,Phys. Rev. A39, 2561.
Chian, A. C.-L.: 1990,Proc. 21st Int. Cosmic Ray Conf. 4, 4.
Chian, A. C.-L. and Kennel, C. F.: 1983,Astrophys. Space Sci. 97, 9.
Grabbe, C. L., Papadopoulos, K., and Palmadesso, P. J.: 1980,J. Geophys. Res. 85, 3337.
Nayfeh, A.: 1973,Perturbation Methods, Wiley and Sons, New York.
Palmadesso, P., Coffey, T. P., Ossakow, S. L., and Papadopoulos, K.: 1976,J. Geophys. Res. 81, 1762.
Papadopoulos, K. and Freund, H. P.: 1979,Space Sci. Rev. 24, 511.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chian, A.C.L. Frequency shift of space-charge waves in a relativistic electron or positron beam. Astrophys Space Sci 173, 165–167 (1990). https://doi.org/10.1007/BF00642572
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00642572