A simple method for obtaining reflection and transmission coefficients and fields for an electromagnetic wave in a horizontally stratified ionosphere

Mathematics

Scientific paper

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Electromagnetic Fields, Formalism, Ionospheric Propagation, Reflectance, Transmittance, Atmospheric Stratification, Boundary Conditions, Boundary Value Problems, Geomagnetism, Matrices (Mathematics), Polarized Electromagnetic Radiation, Vertical Motion

Scientific paper

A simple formalism is presented for obtaining the reflection and transmission coefficients of an electromagnetic wave propagating vertically in a horizontally stratified ionosphere. The ionosphere is divided into thin elementary layers, and boundary conditions of the electric and magnetic fields are applied at all layer interfaces. The derived recursive formula gives altitude dependence of the reflection and inverse transmission coefficient matrices starting from the top layer 4f the ionosphere. The results can be used to calculate height dependence of a wave corresponding to any incident polarization.

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