Wave collapse at the lower-hybrid resonance

V. D. Shapiro, V. I. Shevchenko, G. I. Solovev, V. P. Kalinin, R. Bingham, R. Z. Sagdeev

Research output: Contribution to journalArticle

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Abstract

The modulational instability and collapse of waves in the vicinity of the lower‐hybrid resonance including both magnetosonic and lower‐hybrid waves are investigated by analytical and numerical methods. The mechanism leading to the modulational instability is the nonlinear coupling of lower‐hybrid waves with the much lower‐frequency quasineutral density perturbations via the ponderomotive force. The result is a filamentation of the high‐frequency field producing elongated, cigar‐shaped nonlinear wave packets aligned along the magnetic field with the plasma expelled outside (cavities). The analytical self‐similar solutions describing cavity collapse are obtained and compared with the results of numerical simulation for both two‐ and three‐dimensional cavity geometries. It is shown that in three‐dimensional solutions the transverse, with respect to the magnetic field, contraction remains prevailing. The possibility of ion acceleration as the result of the lower‐hybrid collapse is discussed and detailed comparison is made with the observations of the phenomena in the auroral ionosphere.
LanguageEnglish
Pages3148-3162
Number of pages15
JournalPhysics of Fluids B-Plasma Physics
Volume5
Issue number9
DOIs
Publication statusPublished - 1993

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cavities
Magnetic fields
Wave packets
ponderomotive forces
Ionosphere
magnetic fields
Tobacco Products
wave packets
ionospheres
contraction
Numerical methods
Ions
low frequencies
Plasmas
perturbation
Geometry
Computer simulation
geometry
ions
simulation

Keywords

  • wave collapse
  • lower‐hybrid resonance
  • nonlinear wave packets

Cite this

Shapiro, V. D., Shevchenko, V. I., Solovev, G. I., Kalinin, V. P., Bingham, R., & Sagdeev, R. Z. (1993). Wave collapse at the lower-hybrid resonance. Physics of Fluids B-Plasma Physics, 5(9), 3148-3162. https://doi.org/10.1063/1.860652
Shapiro, V. D. ; Shevchenko, V. I. ; Solovev, G. I. ; Kalinin, V. P. ; Bingham, R. ; Sagdeev, R. Z. / Wave collapse at the lower-hybrid resonance. In: Physics of Fluids B-Plasma Physics. 1993 ; Vol. 5, No. 9. pp. 3148-3162.
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Shapiro, VD, Shevchenko, VI, Solovev, GI, Kalinin, VP, Bingham, R & Sagdeev, RZ 1993, 'Wave collapse at the lower-hybrid resonance' Physics of Fluids B-Plasma Physics, vol. 5, no. 9, pp. 3148-3162. https://doi.org/10.1063/1.860652

Wave collapse at the lower-hybrid resonance. / Shapiro, V. D.; Shevchenko, V. I.; Solovev, G. I.; Kalinin, V. P.; Bingham, R.; Sagdeev, R. Z.

In: Physics of Fluids B-Plasma Physics, Vol. 5, No. 9, 1993, p. 3148-3162.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Wave collapse at the lower-hybrid resonance

AU - Shapiro, V. D.

AU - Shevchenko, V. I.

AU - Solovev, G. I.

AU - Kalinin, V. P.

AU - Bingham, R.

AU - Sagdeev, R. Z.

PY - 1993

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AB - The modulational instability and collapse of waves in the vicinity of the lower‐hybrid resonance including both magnetosonic and lower‐hybrid waves are investigated by analytical and numerical methods. The mechanism leading to the modulational instability is the nonlinear coupling of lower‐hybrid waves with the much lower‐frequency quasineutral density perturbations via the ponderomotive force. The result is a filamentation of the high‐frequency field producing elongated, cigar‐shaped nonlinear wave packets aligned along the magnetic field with the plasma expelled outside (cavities). The analytical self‐similar solutions describing cavity collapse are obtained and compared with the results of numerical simulation for both two‐ and three‐dimensional cavity geometries. It is shown that in three‐dimensional solutions the transverse, with respect to the magnetic field, contraction remains prevailing. The possibility of ion acceleration as the result of the lower‐hybrid collapse is discussed and detailed comparison is made with the observations of the phenomena in the auroral ionosphere.

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Shapiro VD, Shevchenko VI, Solovev GI, Kalinin VP, Bingham R, Sagdeev RZ. Wave collapse at the lower-hybrid resonance. Physics of Fluids B-Plasma Physics. 1993;5(9):3148-3162. https://doi.org/10.1063/1.860652