Schumann resonance effects of electrical conductivity perturbations in an exponential atmospheric/ionospheric profile

Physics

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Atmospheric Conductivity, Ionospheric Conductivity, Schumann-Runge Bands, Anisotropic Media, Differential Equations, Eigenvectors, Mesosphere, Resonance

Scientific paper

An examination of the Schumann resonance effects of conductivity disturbances superimposed on an exponential vertical conductivity profile in the atmosphere is presented. Differential equations are defined for the radial segment of the eigenfunctions of the earth ionosphere system in the case of spherically symmetric, isotropic dielectric of arbitrary radial profile. Integration of the eigenfunctions produces the vertical and tangential electric field components, and thereby the Joule dissipation profile. It is found that the Schumann resonances have a two-level structure in the Joule dissipation profile, with maximum dissipation happening at the mesospheric height of 50 km. A secondary maximum is situated at 90 km. The vertical component of the electric field of the Schumann modes is constant from the ground up to 40 km, then decreases rapidly. Moderate perturbation conductivity enhancements below 65 km lead to depressed Schumann eigenfrequencies, but below 50 km and between 70-85 km causes depressed Q-values. Between 50-70 km and over 85 km, enhanced conductivity increases the Q-values.

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