Parametric excitation of upper hybrid and kinetic alfven waves in a magnetized plasma

1Yukhimuk, AK, 2Fedun, VN, 3Yukhimuk, VA, 2Ivchenko, VN
1Main Astronomical Observatory of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
2Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
3Taras Shevchenko National University of Kyiv, Kyiv, Ukraine; Newcastle University , Newcastle, Australia
Kosm. nauka tehnol. 1998, 4 ;(1):108–112
Publication Language: Russian
Nonlinear parametric excitation of kinetic alfven waves and upper-hybrid waves in a magnetized plasma is studied. The pumping wave is an ordinary electromagnetic wave which decays into a kinetic Alfven wave and an upper-hybrid wave. Two-fluid magnetohydro-dynamics is used to describe the nonlinear parametric interaction of the waves. A nonlinear dispersion equation is found for the coupling of the upper-hybrid and kinetic Alfven waves. We found also the instability growth rate у which is proportional to the electron inertial length (ае = с/ωре). Therefore, this process is possible only if one takes the electron inertia for Alfven waves into account. We use our theoretical results to explain some physical processes in the ionospheric plasma during active experiments
Keywords: electromagnetic wave, nonlinear parametric excitation, plazma
1. Yukhimuk A. K., Yukhimuk V. A., Kucherenko V. P. Nonlinear mechanism of Alfven waves generation in magnetized plasma. Kinematika Fiz. Nebesn. Tel, 11 (5) 71—77 (1995) [in Russian].
2. Yukhimuk, A.K., Yukhimuk, V.A., Fal'ko, O.G. Nonlinear mechanism of electromagnetic radiation generation in cosmic plasma. Kosm. nauka tehnol., 1 (2-6) 65—71 (1995) [in Russian].
3. Yukhimuk A. K., Fal'ko O. G., Yukhimuk V. A., et al. Nonlinear interection of alfven waves and ionic acoustic waves in a magnetized plasma. Kosm. nauka tehnol., 2 (3-4) 44—48 (1996) [in Russian].
4. Yukhimuk V. A., Yukhimuk A. K. Parametric excitation of upper-hybrid and ionic acoustic waves in the space plasma. Kinematika Fiz. Nebesn. Tel, 10 (6), 67—73 (1994) [in Russian].
5.  Buyarbara S., Shukla P. K., Das A. S. Excitation of ULF and VLF waves in the ionosphere. J. Geophys. Res., 84A (4), 1317—1318 (1979).
6.  Gurnett D. A., Shaw R. R. Electromagnetic radiation trapped in the magnetosphere above the plasma frequency. J. Geophys. Res., 78A (34), 8136—8149 (1973).
7.  Kurth W. S., Ashour-Abdalla M., Frank L. A., et al. A comparison of intense electromagnetic waves near FUHR with linear instability theory. Geophys. Res. Lett., 6A (6), 487—490 (1979).
8.  Murtaza G., Shukla P. K. Nonlinear generation of electromag­netic waves. J. Plasma Phys., 31, 432—436 (1984).
9.  Oya H., Marioka A., Kobayashi K., et al. Plasma wave observation and sounder experiments (PWS) using the Akebano (E XOS-D) satellite-instrumentation and initial result including discovery of the high altitude equatorial plasma turbulence. J. Geomag. Geoelectr., 42, 441—444 (1990).
10.  Shukla P. K., Mamedow M. A. Nonlinear decay of a propagating lower-hybrid wave in a plasma. J. Plasma Phys., 19, 87—96 (1978).
11.  Stenflo L., Shukla P. K. Generation of radiation by upper hybrid pump waves. J. Geophys. Res., 100A (9), 17261 — 17263 (1995).
12.  Stubbe  P., Kopka H., Thide B., Derblom H. Stimulated electromagnetic emissions: a new technique to study the parametric decay instability in the ionosphere. J. Geophys. Res., 89A (3), 7523—7536 (1984).
13. Wahlund J. E., Louarn P., Chust T. et al. Observations of ion acoustic fluctuations in the auroral topside ionosphere by the «Freja» s/c. Geophys. Res. Lett., 21 (17), 1835—1838 (1994).