Effect of AC electric field on the whistler mode instability in the magnetosphere

The dispersion relation for the whistler mode instability in an infinite bi-Maxwellian magnetoplasma in the presence of a parallel ac electric field has been derived using the method of characteristic solutions. The perturbed and unperturbed particle trajectories have been used to determine the perturbed distribution function. The growth rate has been determined. The earlier known results are recovered under suitable approximations, when the ac field amplitude and frequency are set to zero. It is found that the ac field parameters modify the growth rate and the resonance condition of the charged particles. The growth rate for various frequencies and magnitudes of the ac field, suitable to magnetospheric conditions, has been evaluated. It has been found that the growth rate depends significantly on the variation of the frequency rather than on the variation of the magnitude.

[1]  P. Lindqvist,et al.  The average tangential electric field at the noon magnetopause , 1990 .

[2]  U. Inan,et al.  Space-time evolution of whistler mode wave growth in the magnetosphere , 1990 .

[3]  J. Myczkowski,et al.  Self‐Consistent Theory of Triggered Whistler Emissions , 1988 .

[4]  F. Mozer,et al.  Electric field measurements at subcritical, oblique bow shock crossings , 1987 .

[5]  M. Kivelson,et al.  Magnetospheric interchange instability , 1987 .

[6]  U. Inan,et al.  Generation of band-limited VLF noise using the Siple transmitter: A model for magnetospheric hiss , 1986 .

[7]  R. Helliwell,et al.  Variable frequency VLF signals in the magnetosphere: Associated phenomena and plasma diagnostics , 1985 .

[8]  J. Denavit,et al.  Theory and computer simulations of magnetospheric very low frequency emissions , 1982 .

[9]  D. Haar.  Physics of Hot Plasmas , 1982 .

[10]  R. Davidson.  Kinetic waves and instabilities in a uniform plasma , 1981 .

[11]  K. D. Misra,et al.  Effect of a parallel electric field on the whistler mode instability in the magnetosphere , 1979 .

[12]  H. Matsumoto.  Nonlinear Whistler-Mode Interaction and Triggered Emissions in the Magnetosphere: A Review , 1979 .

[13]  F. Mozer,et al.  Electric field measurements in the solar wind, bow shock, magnetosheath, magnetopause, and magnetosphere , 1978 .

[14]  R. Helliwell,et al.  The Stanford University VLF Wave Injection Experiment on the ISEE-A Spacecraft , 1978, IEEE Transactions on Geoscience Electronics.

[15]  K. D. Misra,et al.  Electric field induced instability in the magnetosphere , 1977 .

[16]  T. Bell,et al.  Explorer 45 and Imp 6 observations in the magnetosphere of injected waves from the Siple Station VLF transmitter , 1977 .

[17]  T. Bell.  ULF wave generation through particle precipitation induced by VLF transmitters , 1976 .

[18]  R. Helliwell,et al.  VLF wave injection into the magnetosphere from Siple Station, Antarctica , 1974 .

[19]  S. Cuperman,et al.  On the enhancement of the whistler mode instability in the magnetosphere by cold plasma injection , 1974 .

[20]  R. Helliwell,et al.  Whistler-induced amplitude perturbation in VLF propagation , 1973 .

[21]  A. Mikhailovskii.  Electromagnetic instabilities of a non-Maxwellian plasma , 1972 .

[22]  R. Prasad.  Instabilities in Parametric Oscillations of a Plasma in a Magnetic Field , 1970 .

[23]  R. Prasad.  Instabilities in Parametric Oscillations of a Plasma , 1968 .

[24]  I. Kimura.  Triggering of VLF magnetospheric noise by a low‐power (∼100 watts) transmitter , 1968 .

[25]  H. Hsieh.  Cutoff conditions for transverse circularly polarized electromagnetic waves in a finite temperature electro-magneto-ionic medium , 1967 .

[26]  F. Mozer,et al.  Electric field measurements in the auroral ionosphere , 1967 .

[27]  R. Prasad.  Effect of a High‐Frequency Spatially Uniform External Electric Field on a Plasma , 1967 .

[28]  Charles F. Kennel,et al.  LIMIT ON STABLY TRAPPED PARTICLE FLUXES , 1966 .

[29]  R. Helliwell,et al.  Artificially stimulated very‐low‐frequency radiation from the ionosphere , 1964 .

[30]  T. H. Stix,et al.  The Theory Of Plasma Waves , 1962 .