Some aspects of ULF electromagnetic wave relations in a stratified ionosphere by the method of boundary value problem

Physics

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Boundary Value Problems, Earth Ionosphere, Electromagnetic Radiation, Magnetohydrodynamic Waves, Very Low Frequencies, Boundary Conditions, Earth Magnetosphere, Electric Fields

Scientific paper

Formulation and boundary conditions are developed to solve for the electromagnetic waves in a stratified ionosphere and atmosphere as a two-point boundary value problem. In the general case there are up-going and down-going Alfven modes, up-going and down-going fast modes. It is shown that while large horizontal structure of the perturbation can be attributed to both the fast wave and the Alfven mode, small horizontal structure can only be attributed to the Alfven mode. The ratios of the electric field to magnetic field are given for various altitudes, frequencies and horizontal scale sizes. The results show that the magnetic field leads the electric field for the Alfven mode and the electric field leads the magnetic field for the fast mode. The results also show that the ratio of the electric field to the magnetic field is varied and is not the Alfven speed of the local medium. Analytical solutions are presented as tests against the numerical ones.

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