Abstract
In the overdense collisionless plasma column inserted through the narrow sides of a rectangular waveguide, the excited electron cyclotron harmonic waves (CHWs) are studied by means of two movable probes and a phase interferometer in the range of parameters of 2 >ω/ω ce >1; 0·5 < (ω pe /ω)2 < 15.
Two kinds of CH waves have been found in the dipole mode:
-
a)
Stable backward CH waves with the phase velocity in the direction from the axis to the periphery.
-
b)
Unstable backward CH waves with the phase velocity in the opposite direction.
From the correlation measurements and amplitude distribution of the CH waves at the applied frequency and its second harmonic frequency it has been found that in the range of 2 >ω/ω ce > >1·5 efficient nonlinear resonant interaction of CH waves takes place. The position of the loci of resonant interaction inside the plasma column has been found both experimentally and by a simple new graphical procedure for the resonant conditions of the formω 2=2ω 1; k2=2¦k1¦. In absence of this condition, no effective generation of the second harmonic frequency has been found.
The resonant interaction of CHWs atω/ω ce =1·85 is the cause of self-trapping of CH waves between the zones of resonant interaction in radial direction and of the anomalous heating rate of electrons.
Similar content being viewed by others
References
Golant V. E., Pilia A. D., Preprint No. 404 FTI AN SSSR Leningrad 1972 (to be published in Zh. Tekh. Fiz.).
Ďatlov J., Kryška L., Budnikov V. N., IPPCZ 169, Inst. Plasma Phys. Czechoslovak Acad. Sci., Prague 1972; Czech. J. Phys.B 23 (1973), 436.
Golant V. E., Pilia A. D., Uspekh. Fiz. Nauk104 (1971), 421.
Ďatlov J.,Kryška L., Paper presented to the 6. Czech. Seminar on Plasma Physics, Liblice 1972; see IPPCZ 167 (1972).
Vandenplas P. E., Electron Waves and Resonances in Bounded Plasmas. (John Wiley Inc. N. York 1968) and the references therein.
Taillet J., Amer. J. Phys.37 (1969), 423.
Delcroix J. L.,Constantin A.,Leprince P.,Pointu A. M.,Pomeau Y., Plasma Waves in Space and Lab, Vol. 1, Edinburgh Univ. Press 1969, p. 195.
Sitenko A. G., Stepanov K. N., Zh. Eksp. Teor. Fiz.31 (1956), 642.
Bernstein I. B., Phys. Rev.109 (1958), 10.
Tataronis J. A., Crawford F. W., J. Plasma Phys.4 (1970), 231, 249.
Andrews M. K., Fang T. T., J. Plasma Phys.6 (1970), 579,
Oya H., Phys. Fluids14 (1971), 2487.
Harker K. J., Crawford F. W., J. Appl. Phys.39 (1968), 5959.
Porkolab M., Chang R. P. H., Phys. Fluids12 (1969), 1697.
Idehara T., Ohkubo K., Tanaka S., J. Phys. Soc. Jap.30 (1971), 1169.
Amano T., Okamoto M., J. Phys. Soc. Japan.29 (1970), 1366.
Chang R. P. H., Porkolab M., Phys. Fluids13 (1970), 2766.
Leuterer F., Plasma Phys.14 (1972), 499.
Harp R. S., IPP 2/43 Inst. Für Plasma physik, Garching 1965.
Mikhailovskii A. B., The Theory of Plasma Instabilities (in Russian) Part I+II, Atomizdat Moscow 1970, 1971.
Tsytovich V. N., Nonlinear Effects in Plasmas (in Russian) Nauka Moscow 1967.
Seidl M., Phys. Fluids13 (1970), 966.
Kopecký V.,Preinhaelter J.,Václavík J., IPPCZ114 (1968).
Clinkemaillie A.,Piffl V., Proc. E. Conf. CEP Ph. Rome 1970, p. 72.
Davidson R. C., Methods in Nonlinear Plasma Theory, Academic Press, N. York 1972, p. 122.
Kadomtsev B. B.,Karpman V. I., Uspekh. Fiz. Nauk103, 193.
Stix T. H., Phys. Rev. Letters15 (1965), 878.
Gruber S., Bekefi G., Phys. Fluids11 (1968), 122.
Chang R. P. H., Porkolab M., Grek B., Phys. Rev. Letters28 (1972), 206.
Van Hoven G., Phys. Rev.3A (1971), 153.
Anisimov A. I., Vinogradov N. I., Golant V. E., Pachomov L. P., Zh. Tekh. Fiz.41 (1971), 696.
Musil J.,Žáček F., IPPCZ 164 (1972).
Stenzel R. L.,Gould R. W., J. Appl. Phys.42 (1971).
Baldwin D. E., Henderson D. M., Ignat D. W., J. Appl. Phys.42 (1971), 2431.
Buchsbaum S. J., Hasegawa A., Phys. Rev. Letters12 (1964), 685.
Erochin N. S., Moiseev S. S., Zh. Tekh. Fiz.40 (1970), 1144.
Thomas J. O.,Andrews M. K., Plasma Waves in Space and in the Lab, vol. 1, Edinburgh Univ. Press 1969, p. 4.
Ďatlov J.,Klíma R.,Kryška L.,Budnikov V. N.,Scherbinin O. N., Paper presented to the XI. Int. Conf. Ph. Ioniz. Gases, Prague September 1973. (Paper No.: 4.3.8.1.)
Author information
Authors and Affiliations
Additional information
The authors sincerely thank Drs V.Kopecký and P.Šunka for stimulating discussions during the work, Drs. K.Jungwirth, J.Musil and J.Preinhaelter for reviewing the ersults and Mr. B.Šusta for technical assistance. They are indebted to Dr. J.Váňa for permanent support and interest.
Rights and permissions
About this article
Cite this article
Ďatlov, J., Klíma, R., Kryška, L. et al. Microwave heating of electrons of a dense plasma column at frequencies higher than electron cyclotron frequency. Czech J Phys 23, 1315–1332 (1973). https://doi.org/10.1007/BF01586521
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01586521