Modulation of type Pi waves by temporal variations in ionospheric conductivity in a three-dimensional magnetosphere-ionosphere current system

Mathematics

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Extremely Low Radio Frequencies, Geomagnetic Pulsations, Ionospheric Conductivity, Ionospheric Currents, Magnetospheric Instability, Rlc Circuits, Computerized Simulation, Energetic Particles, Equivalent Circuits, Mathematical Models, Power Spectra

Scientific paper

It is suggested that Pi ULF waves are generated from magnetosphere-ionosphere current systems. This current system is modeled by an R (resistance), C (capacitance) and L (inductance) circuit loop in which R = R(t). Three cases of modification of ULF waves by variations in ionospheric conductivity are studied: (1) omega is much greater than omega-prime, (2) omega is approximately equal to omega-prime and (3) omega is much less than omega-prime, where omega and omega-prime are the frequency of the driving electric field and ionospheric conductivity variations, respectively, assuming that both variations are sinusoidal. The characteristics of the modification are very different in these three cases. In case 1, the envelope of the ULF wave intensity correlates with the variations in ionospheric conductivity. In case 2, the wave form of the ULF waves is slightly modified from a sinusoidal wave. In case 3, high frequency components are generated in the ULF wave form due to rapid oscillations in ionospheric resistance. Observational evidence for the existence of the three types of modifications are presented.

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