Saturation effects in the VLF-triggered emission process

[1] An in-depth study is performed of the saturation characteristics of the VLF-triggered emission process, a plasma instability associated with the amplification of whistler mode signals in the magnetosphere. A survey of data from the 1986 operating year of the Siple VLF wave injection experiment reveals that long-period oscillations (characterized by a pattern of growth to saturation then subsequent suppression of the wave), short-period oscillations (previously identified as sidebands), and generation of incoherent wave energy around the frequency of the triggering signal are all characteristics of the instability at saturation. A model is developed to study these phenomena. The model is in some respects similar to the Vlasov Hybrid Simulation but modified so that saturation is a natural consequence of the modeled growth process. Results from the model indicate that the growth and eventual saturation are caused by wave amplitude gradients, most notably gradients that indicate a transition from an amplitude where the wave cannot trap electrons in its potential in the presence of the inhomogeneous magnetospheric magnetic field to an amplitude where such trapping is possible. That is, resonant currents are enhanced in the region where the phase space electron hole created by the trapping condition is allowed to mix with the ambient energetic electrons. This growth process is found to naturally lead to saturation of the instability.

[1]  H. Matsumoto,et al.  The Numerical Simulation of VLF Chorus and Discrete Emissions Observed on the Geotail Satellite , 1997 .

[2]  R. Helliwell,et al.  Structure of VLF whistler mode sideband waves in the magnetosphere , 1988 .

[3]  R. Helliwell,et al.  Emission triggering in the magnetosphere by controlled interruption of coherent VLF signals , 1979 .

[4]  C. Park Generation of whistler‐mode sidebands in the magnetosphere , 1981 .

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

[6]  R. Helliwell Controlled stimulation of VLF emissions from Siple Station, Antarctica , 1983 .

[7]  A. Roux,et al.  A theory of triggered emissions , 1978 .

[8]  D. Nunn,et al.  Numerical simulation of VLF risers, fallers, and hooks observed in Antarctica , 1998 .

[9]  A. Das A mechanism for VLF emissions , 1968 .

[10]  T. Bell,et al.  Simultaneous triggered VLF emissions and energetic electron distributions observed on POLAR with PWI and HYDRA , 2000 .

[11]  C. Park,et al.  Transmitter simulation of power line radiation effects in the magnetosphere , 1978 .

[12]  A. Brinca Whistler side‐band growth due to nonlinear wave‐particle interaction , 1972 .

[13]  R. Gendrin,et al.  VLF transmitter‐induced quiet bands: A quantitative interpretation , 1979 .

[14]  D. Nunn A novel technique for the numerical simulation of hot collision-free plasma; Vlasov hybrid simulation , 1993 .

[15]  U. Inan,et al.  DE 1 observations of siple transmitter signals and associated sidebands , 1985 .

[16]  H. Matsumoto,et al.  LINEAR AND NONLINEAR CYCLOTRON INSTABILITY AND VLF EMISSIONS IN THE MAGNETOSPHERE. , 1971 .

[17]  H. Liemohn Cyclotron-resonance amplification of VLF and ULF whistlers , 1967 .

[18]  R. Helliwell,et al.  VLF wave stimulation experiments in the magnetosphere from Siple Station, Antarctica , 1988 .

[19]  T. Bell,et al.  Pulsation phenomena observed in long-duration vlf whistler-mode signals. , 1971 .

[20]  T. Bell High‐amplitude VLF transmitter signals and associated sidebands observed near the magnetic equatorial plane on the ISEE 1 satellite , 1985 .

[21]  David Nunn,et al.  VLF emission triggering by a highly anisotropic energetic electron plasma , 2003 .

[22]  R. Helliwell,et al.  Power threshold for growth of coherent VLF signals in the magnetosphere , 1980 .

[23]  U. Inan,et al.  Measurements of Siple transmitter signals on the DE 1 satellite: Wave normal direction and antenna effective length , 1986 .

[24]  Y. Omura,et al.  Theory and simulation of the generation of whistler‐mode chorus , 2008 .

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

[26]  Harry C. Koons,et al.  Linear and nonlinear amplification in the magnetosphere during a 6.6‐kHz transmission , 1978 .

[27]  H. Matsumoto,et al.  Computer simulations of basic processes of coherent whistler wave‐particle interactions in the magnetosphere , 1982 .

[28]  H. Matsumoto,et al.  Dependence of coherent nonlinear whistler interaction on wave amplitude , 1980 .

[29]  Yuto Katoh,et al.  A study of generation mechanism of VLF triggered emission by self-consistent particle code , 2006 .

[30]  Edmund Taylor Whittaker,et al.  On the partial differential equations of mathematical physics , 1903 .

[31]  T. Bell,et al.  Transient nonlinear pitch angle scattering of energetic electrons by coherent VLF wave packets in the magnetosphere , 1981 .

[32]  R. Raghuram,et al.  Echo‐induced suppression of coherent VLF transmitter signals in the magnetosphere , 1977 .

[33]  D. Nunn Vlasov Hybrid Simulation—An Efficient and Stable Algorithm for the Numerical Simulation of Collision‐Free Plasma , 2005 .

[34]  R. Helliwell A theory of discrete VLF emissions from the magnetosphere , 1967 .

[35]  Danny Summers,et al.  Computer simulations of relativistic whistler-mode wave–particle interactions , 2004 .

[36]  C. G. Park,et al.  Methods of determining electron concentrations in the magnetosphere from nose whistlers , 1972 .

[37]  D. Nunn,et al.  The numerical simulation of VLF nonlinear wave-particle interactions in collision-free plasmas using the Vlasov hybrid simulation technique , 1990 .

[38]  H. Matsumoto,et al.  A review of observational, theoretical and numerical studies of VLF triggered emissions , 1991 .

[39]  U. Inan,et al.  Beat excitation of whistler mode sidebands using the Siple VLF transmitter , 1986 .

[40]  D. Nunn A SELF-CONSISTENT THEORY OF TRIGGERED VLF EMISSIONS , 1974 .

[41]  Sergei Sazhin,et al.  Whistler diagnostics of magnetospheric parameters: A review , 1992 .

[42]  Y. Omura,et al.  Dynamics of high‐energy electrons interacting with whistler mode chorus emissions in the magnetosphere , 2006 .

[43]  M. Rycroft,et al.  A parametric study of the numerical simulations of triggered VLF emissions , 2005 .

[44]  L. A. Sá A wave‐particle‐wave interaction mechanism as a cause of VLF triggered emissions , 1990 .

[45]  Wallace M. Manheimer,et al.  Quasineutral particle simulation technique for whistlers , 2006, J. Comput. Phys..

[46]  T. Bell,et al.  EXOS‐B/Siple Station VLF wave‐particle interaction experiments: 1. General description and wave‐particle correlations , 1983 .

[47]  K. Dysthe Some studies of triggered whistler emissions , 1971 .

[48]  G. S. Stiles,et al.  Stimulated growth of coherent VLF waves in the magnetosphere , 1977 .