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Volume 58 Supplement 9

Special Issue: International Sessions of Japan Earth and Planetary Science Joint Meeting 2005

Simulation study on nonlinear frequency shift of narrow band whistler-mode waves in a homogeneous magnetic field

Abstract

We study frequency variation of a coherent whistler-mode wave in a homogeneous magnetic field by a selfconsistent simulation model. Simulation results show that an injected whistler-mode wave packet grows due to an instability driven by temperature anisotropy and the amplified wave packet triggers emissions with frequency shift during its propagation. We clarify that the resonant currents JE and JB due to the nonlinear wave-particle interaction play significant roles in both wave growth and frequency variation. Based on the simulation results, we show that the range of the frequency shift in a homogeneous system is quantitatively estimated by the trapping frequency VT of trapped electrons; in a case that the original frequency of the wave packet is 0.62Ωe and VT=4.05 × 10−2c, the lower and upper frequencies are estimated to be 0.565Ωe and 0.685Ωe, respectively. The results of the present study reveal that the role of nonlinear trapping is significant in the elementary process of VLF triggered emissions in the equatorial region of the magnetosphere.

References

  • Bujarbarua, S., M. Nambu, B. J. Saikia, M. Eda, and J. I. Sakai, Numerical simulation and theory of generation of electromagnetic waves in the presence of whistler turbulence, Phys. Plasmas, 5(6), 2244–2251, 1998.

    Article  Google Scholar 

  • Buneman, O., TRISTAN, Computer Space Plasma Physics: Simulation Techniques and Softwares, edited by H. Matsumoto and Y. Omura, pp. 67–84, Terra Scientific Publishing Company, Tokyo, Japan, 1993.

  • Hashimoto, K., H. Matsumoto, Y. Serizawa, and I. Kimura, Computer simulation of whistler mode wave-particle interactions using a freeboundary encounter model, J. Geophys. Res., 88, 3072–3078, 1

    Article  Google Scholar 

  • Helliwell, R. A., Controlled stimulation of VLF emissions from Siple station, Antarctica, Radio Sci., 18, 801–814, 1983.

    Article  Google Scholar 

  • Helliwell, R. A. and J. P. Katsufrakis, VLF wave injection into the magnetosphere from Siple station, Antarctica, J. Geophys. Res., 79, 2511–2518, 1974.

    Article  Google Scholar 

  • Katoh, Y. and Y. Omura, Acceleration of relativistic electrons due to resonant scattering by whistler mode waves generated by temperature anisotropy in the inner magnetosphere, J. Geophys. Res., 109, A12214, doi:10.1029/2004JA010654, 2004.

    Article  Google Scholar 

  • Katoh, Y., T. Ono, and M. Iizima, Numerical Simulation of resonant scattering of energetic electrons in the outer radiation belt, Earth Planets Space, 57, 117–124, 2

    Article  Google Scholar 

  • Katoh, Y., T. Ono, and M. Iizima, A numerical study on the resonant scattering process of relativistic electrons via whistler-mode waves in the outer radiation belt, in The Inner Magnetosphere: Physics and Modeling, edited by T. Pulkkinen, R. H. W. Friedel, and N. Tsyganenko, Geophysical Monograph Series, Vol. 155, p. 33–39, 2005b.

    Article  Google Scholar 

  • Matsumoto, H., Nonlinear whistler-mode interaction and triggered emissions in the magnetosphere: a review, in Wave Instabilities in Space Plasma, edited by P. J. Palmadesso and K. Papadopulos, pp. 163–190, D. Reidel Pub. Co., 1979.

    Chapter  Google Scholar 

  • Matsumoto, H., Coherent nonlinear effects on electromagnetic waveparticle interactions, Space Science Reviews, 42, 429–448, 1985.

    Article  Google Scholar 

  • Matsumoto, H., K. Hashimoto, and I. Kimura, Dependence of coherent nonlinear whistler interaction on wave amplitude, J. Geophys. Res., 85, 644–652, 1980.

    Article  Google Scholar 

  • Nunn, D., A self-consistent theory of triggered VLF emissions, Planet. Space Sci., 22, 349–378, 1974.

    Article  Google Scholar 

  • Nunn, D., A. Demekhov, V. Trakhtengerts, and M. J. Rycroft, VLF emission triggering by a highly anisotropic energetic electron plasma, Annales Geophysicae, 21, 481–492, 2003.

    Article  Google Scholar 

  • Nunn, D., M. J. Rycroft, and V. Trakhtengerts, A parametric study of the numerical simulations of triggered VLF emissions, Annales Geophysicae, 23, 3655–3666, 2005.

    Article  Google Scholar 

  • Omura, Y. and H. Matsumoto, Computer simulations of basic processes of coherent whistler wave-particle interactions in the magnetosphere, J. Geophys. Res., 87(A6), 4435–4444, 1982.

    Article  Google Scholar 

  • Omura, Y. and H. Matsumoto, Simulation study of frequency variations of VLF triggered emissions in a homogeneous field, J. Geomag. Geoelectr., 37, 829–837, 1985.

    Article  Google Scholar 

  • Omura, Y., D. Nunn, H. Matsumoto, and M. J. Rycroft, A review of observational, theoretical and numerical studies of VLF triggered emissions, J. Atmos. Terr. Phys., 53, 351–368, 1991.

    Article  Google Scholar 

  • Singh, K., R. P. Singh, and O. E. Ferencz, Simulation of whistler mode propagation for low latitude stations, Earth Planets Space, 56, 979–987, 2004.

    Article  Google Scholar 

  • Trakhtengerts, V. Y., A. G. Demekhov, Y. Hobara, and M. Hayakawa, Phase-bunching effects in triggered VLF emissions: Antenna effect, J. Geophys. Res., 108(A4), 1160, doi:10.1029/2002JA009415, 2003.

    Article  Google Scholar 

  • Umeda, T., Y. Omura, and H. Matsumoto, An improved masking method for absorbing boundaries in electromagnetic particle simulations, Comput. Phys. Commun., 137, 286–299, 2001.

    Article  Google Scholar 

  • Vomvoridis, J. L. and J. Denavit, Nonlinear evolution of a monochromatic whistler wave in a nonuniform magnetic field, Phys. Fluids, 23, 174–183, 1980.

    Article  Google Scholar 

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Correspondence to Yuto Katoh.

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Katoh, Y., Omura, Y. Simulation study on nonlinear frequency shift of narrow band whistler-mode waves in a homogeneous magnetic field. Earth Planet Sp 58, 1219–1225 (2006). https://doi.org/10.1186/BF03352013

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