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Experiments on the nonlinear evolution of surface waves in an open plasma waveguide

Published online by Cambridge University Press:  13 March 2009

D. Grozev ,
A. Shivarova  and
S. Tanev
D. Grozev
Affiliation:
Faculty of Physics, Sofia University, 1126 Sofia, Bulgaria
A. Shivarova
Affiliation:
Faculty of Physics, Sofia University, 1126 Sofia, Bulgaria
S. Tanev
Affiliation:
Faculty of Physics, Sofia University, 1126 Sofia, Bulgaria
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Abstract

The nonlinear behaviour of surface waves propagating along a plasma column is investigated. The experiments include (i) measurements of the nonlinear dispersion of the waves and (ii) observation of the evolution of the shape of the wave envelope and of the wave spectrum when the waves are excited with an amplitude-modulated signal. Comparison with theory shows that (i) the measured nonlinear wavelength shift corresponds to increasing wave phase velocity with increasing wave amplitude, (ii) the observed narrowing of the wave envelope can be associated with the formation of periodic nonlinear waves described by dn Jacobi elliptic function solutions of the nonlinear Schrödinger equation and (iii) the observed strong changes of the wave spectrum are mainly related to a nonlinear effect of phase modulation.

Type
Research Article
Information
Journal of Plasma Physics , Volume 45 , Issue 3 , June 1991 , pp. 297 - 322
Copyright
Copyright © Cambridge University Press 1991

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References

REFERENCES

Abramowitz, M. & Stegun, I. A. (eds.) 1964 Handbook of Mathematical Functions. National Bureau of Standards.Google Scholar
Aliev, Yu. M., Boev, A. G. & Shivarova, A. P. 1982 Phys. Lett. 92A, 235.CrossRefGoogle Scholar
Aliev, Yu. M., Boev, A. G. & Shivarova, A. P. 1984 J. Phys. D 17, 2233.Google Scholar
Aliev, Yu. M., Kuznezov, S. V. & Shivarova, A. P. 1986 Surface Waves in Plasmas and Solids (ed. Vukovic, S.), p. 506. World Scientific.Google Scholar
Atanassov, V., Mateev, E. & Zhelyazkov, I. 1981 Phys. Lett. 86A, 414.Google Scholar
Fil'chenko, S. E., Frayman, G. M. & Yunakovskii, A. D. 1987 Fiz. Plasmy, 13, 961.Google Scholar
Gradov, O. M. & Stenflo, L. 1982 Phys. Fluids, 25, 983.CrossRefGoogle Scholar
Grozev, D. & Shivarova, A. 1984 J. Plasma Phys. 31, 177.CrossRefGoogle Scholar
Grozev, D., Shivarova, A. & Boardman, A. D. 1987 J. Plasma Phys. 38, 427.CrossRefGoogle Scholar
Ikezi, H. 1981 Solitons in Action (ed. Lonngren, K. & Scott, A.), p. 163. Mir.Google Scholar
Karpman, V. I., Lynov, J. P., Michelsen, P., Pécseli, H. L., Rassmussen, J. J. & Turikov, V. A. 1979 Phys. Rev. Lett. 43, 210.CrossRefGoogle Scholar
Karpman, V. I., Lynov, J. P., Michelsen, P., Pécseli, H. L., Rassmussen, J. J. & Turikov, V. A. 1980 Phys. Fluids, 23, 1782.CrossRefGoogle Scholar
Kostov, N. & Shivarova, A. 1983 Plasma Phys. 25, 891.CrossRefGoogle Scholar
Kunhardt, E. E. & Cheo, B. R.-S. 1977 Phys. Fluids, 20, 1499.Google Scholar
Kunhardt, E. E. & Cheo, B. R.-S. 1979 Plasma Phys. 21, 237.Google Scholar
Lem, J. & Maklaflin, D. 1983 Solitons (ed. Bullough, R. K. & Caudrey, P. J.), p. 78. Mir.Google Scholar
Lonngren, K. E. 1983 Plasma Phys. 25, 943.CrossRefGoogle Scholar
Lonngren, K. E., Hsuan, H. C. S., Landt, D. L., Burde, C. M., Joyce, G., Alexeff, I., Jones, W. D., Doucet, H. J., Hirose, A., Ikezi, H., Aksornkitti, S., Widner, M. & Estabrook, K. 1974 IEEE Trans. Plasma Sci. 2, 93.Google Scholar
Mitchner, M. & Kruger, C. H. 1973 Partially Ionized Gases. Wiley.Google Scholar
Moisan, M., Shivarova, A. & Trivelpiece, A. W. 1982 Plasma Phys. 24, 1331.CrossRefGoogle Scholar
Nakamura, Y. 1982 IEEE Trans. Plasma Sci. 10, 180.Google Scholar
Nickerson, S. B. & Johnston, T. W. 1979 Phys. Lett. 73A, 20.CrossRefGoogle Scholar
Pécseli, H. L. 1985 IEEE Trans. Plasma Sci. 13, 53.CrossRefGoogle Scholar
Shimizu, K. & Ichikawa, Y. H. 1972 J. Phys. Soc. Japan, 33, 789.CrossRefGoogle Scholar
Shivarova, A. & Zhelyazkov, I. 1982 Electromagnetic Surface Modes (ed. Boardman, A. D.), p. 465. Wiley.Google Scholar
Shukla, P. & Rassmussen, J. J. 1986 Optics Lett. 11, 171.Google Scholar
Stenflo, L. & Gradov, O. M. 1986 IEEE Trans. Plasma Sci. 14, 554.CrossRefGoogle Scholar
Stenflo, L. & Yu, M. Y. 1986 Surface Waves in Plasmas and Solids (ed. Vukovic, S.), p. 645. World Scientific.Google Scholar
Stenflo, L., Yu, M. Y. & Zhelyazkov, I. 1983 Beitr. Plasmaphys. 23, 621.Google Scholar
Stenflo, L., Zhelyazkov, I. & Yu, M. Y. 1987 Plasma Phys. 27, 85.Google Scholar
Vladimirov, S. V. 1986 Fiz. Plazmy, 12, 961.Google Scholar
Vladimirov, S. V. & Tsytovich, N. N. 1985 Fiz. Plazmy, 11, 1458.Google Scholar
Vladimirov, S. V. & Tsytovich, N. N. 1988 Fiz. Plazmy, 14, 593.Google Scholar
Yu, M. Y. & Zhelyazkov, I. 1978 J. Plasma Phys. 20, 183.CrossRefGoogle Scholar
Zhelyazkov, I. & Spatschek, K. 1988 Phys. Rev. A 38, 6304.CrossRefGoogle Scholar
Zhelyazkov, I., Stoyanov, O. & Yu, M. Y. 1984 Plasma Phys. Contr. Fusion, 26, 813.Google Scholar