An Analytic Theory for Interplanetary Type II Radio Emission: Formalism and Predictions

Physics

Scientific paper

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2139 Interplanetary Shocks, 2159 Plasma Waves And Turbulence, 7534 Radio Emissions, 7871 Waves And Instabilities

Scientific paper

Observational evidence from the Wind spacecraft indicates that the source region of interplanetary type II radio bursts are often the foreshocks of CME-driven shock waves. We present here an analytic model for type II radio emission. The free energy which drives plasma wave growth in the foreshock is supplied by electrons reflected and accelerated at the shock surface. The acceleration mechanism considered is shock drift acceleration. Accelerated electrons produce beams, or regions of positive slope, in the reduced electron velocity distribution by time-of-flight effects. The electron beams are calculated analytically and numerically throughout the foreshock using Louiville's theorem and a new theoretical model for the cross-shock potential. The electron beams found have properties which are qualitatively consistent with previous observations and theory for Earth's foreshock. We apply stochastic growth theory (SGT) to these foreshock beams, based on SGT's success in Earth's foreshock and type III sources, and model plasma wave growth throughout the foreshock. The resultant plasma waves are then involved in nonlinear wave-wave interactions which produce radio emission at both the fundamental (fp) and harmonic (2fp) of the local plasma frequency. Using analytic theory for wave-wave processes and solar wind parameters based on available observations, we predict the location and characteristics of the source region and the levels of fp and 2fp radiation. It is shown that the predicted fluxes agree well with the available data.

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