Skip to main content Accessibility help
×
Home

Three-dimensional instability of two nonlinearly coupled electromagnetic waves in a plasma

  • LENNART STENFLO (a1), BENGT ELIASSON (a1) and MATTIAS MARKLUND (a1)

Abstract

The three-dimensional instability of two coupled electromagnetic waves in an unmagnetized plasma is investigated theoretically and numerically. In the regime of two-plasmon decay, where one pump wave frequency is approximately twice the electron plasma frequency, we find that the coupled pump waves give rise to enhanced instability with wavevectors between those of the two beams. In the case of ion parametric decay instability, where the pump wave decays into one Langmuir wave and one ion acoustic wave, the instability regions are added with no distinct amplification. Our investigation can be useful in interpreting laser-plasma as well as ionospheric heating experiments.

Copyright

References

Hide All
[1]Kodama, R. et al. 2001 Nature 412, 798; 2002 Nature 418, 933.
[2]Akhiezer, A. I. and Polovin, R. V. 1956 Zh. Eksp. Teor. Fiz. 30, 915 (Engl. Transl. 1956 Sov. Phys.–JETP 3, 696).
[3]Max, C. E., Arons, J. and Langdon, A. B. 1974 Phys. Rev. Lett. 33, 209.
[4]Stenflo, L. 1976 Phys. Scr. 14, 320; 1981 Phys. Scr. 23, 779.
[5]Stenflo, L. and Shukla, P. K. 1984 Phys. Rev. A 30, 2110.
[6]Shukla, P. K., Yu, M. Y. and Stenflo, L. 1986 Phys. Rev. A 34, 1582.
[7]Tsintsadze, N. L. and Stenflo, L. 1974 Phys. Lett. A 48, 399.
[8]Tsintsadze, N. L., Tskhakaya, D. D. and Stenflo, L. 1979 Phys. Lett. A 72, 115.
[9]Tsintsadze, N. L., Papuashvili, N. A., Tsikarishvili, E. C. and Stenflo, L. 1980 Phys. Scr. 21, 183.
[10]Shukla, P. K., Rao, N. N., Yu, M. Y. and Tsintsadze, N. L. 1986 Phys. Rep. 138, 1.
[11]Sakharov, A. S. and Kirsanov, V. I. 1994 Phys. Rev. E 49, 3274.
Quesnel, B. et al. 1997 Phys. Rev. Lett. 78, 2132.
Barr, H. C., Mason, P. and Parr, D. M. 1999 Phys. Rev. Lett. 83, 1606.
[12]Rosenbluth, M. N. and Liu, C. S. 1972 Phys. Rev. Lett. 29, 701.
[13]Bingham, R., Mendonça, J. T. and Shukla, P. K. 2004 Plasma Phys. Control. Fusion 46, R1.
[14]McKinstrie, C. J. and Bingham, R. 1992 Phys. Fluids B 4, 2626.
[15]Shukla, P. K. 1992 Phys. Scr. 45, 618.
[16]Bergé, L. 1998 Phys. Rev. E 58, 6606.
[17]Shvets, G. and Fisch, N. J. 2001 Phys. Rev. Lett. 86, 3328.
[18]Shvets, G. 2004 Phys. Rev. Lett. 93, 195004.
[19]Nagashima, K., Koga, J. and Kando, M. 2001 Phys. Rev. E 64, 066403.
[20]Sheng, Z.-H., Mima, K., Setoku, Y., Nishihara, K. and Zhang, J. 2002 Phys. Plasmas 9, 3147.
[21]Thomson, J. J. 1975 Nucl. Fusion 15, 237.
[22]Obenschain, S. P., Luhmann, N. C. Jr. and Greiling, P. T. 1976 Phys. Rev. Lett. 36, 1309.
[23]Wong, A. Y. and Brandt, R. G. 1990 Radio Sci. 25, 1251.
[24]Rodriguez, P. et al. 1998 Geophys. Res. Lett. 25, 257.
[25]Ryutov, A. D., Cowley, S. C. and Valeo, E. J. 2001 Phys. Plasmas 8, 36.
[26]Stenflo, L. 1971 J. Geophys. Res. 76, 5349.
[27]Stenflo, L. 1972 Plasma Phys. 14, 713.
[28]Chandra, P. and Tripathi, V. K. 1975 J. Appl. Phys. 46, 3320.
[29]Rozhkov, S. S. 1990 Phys. Lett. A 146, 496.
[30]Belyantsev, A. M., Genkin, V. N., Leonov, A. M. and Trifonov, B. A. 1973 Sov. Phys.–JETP Lett. 18, 362.
[31]Shukla, P. K., Eliasson, B., Marklund, M., Stenflo, L., Kourakis, I., Parviainen, M. and Dieckmann, M. E. 2006 Phys. Plasmas 13, 053104.
[32]Eliasson, B. and Shukla, P. K. 2006 Phys. Rev. E 74, 046401.
[33]Stenflo, L. 1990 Phys. Scr. T30, 166.
[34]Fried, B. D., Adler, A. and Bingham, R. 1980 J. Plasma Phys. 24, 315.
[35]Gradov, O. M. and Stenflo, L. 1980 Plasma Phys. 22, 727.
[36]Vladimirov, S. V., Tsytovich, V. N., Popel, S. I. and Khakimov, F. Kh. 1995 Modulational Interactions in Plasmas. Dordrecht: Kluwer.
[37]Stenflo, L. and Shukla, P. K. 1997 J. Atmos. Solar–Terr. Phys. 59, 2431.
[38]Kuo, S. P. 2001 J. Plasma Phys. 66, 315.
[39]Stenflo, L. 2004 Phys. Scr. T107, 262.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

Related content

Powered by UNSILO

Three-dimensional instability of two nonlinearly coupled electromagnetic waves in a plasma

  • LENNART STENFLO (a1), BENGT ELIASSON (a1) and MATTIAS MARKLUND (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.