Approximate mode conversion coefficients in the earth-ionosphere waveguide for VLF propagation below an anisotropic ionosphere

Mathematics

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Ionospheric Propagation, Propagation Modes, Radio Transmission, Very Low Frequencies, Waveguides, Anisotropy, Approximation, Boundary Value Problems, Electrical Impedance, Matrices (Mathematics), Parallel Plates, Wave Propagation

Scientific paper

The earth-ionosphere waveguide is considered to be a parallel plate waveguide whose upper and lower boundaries are characterized by constant impedance matrices. Simple orthogonal relations between the resulting modes are found and used to obtain an approximate formula for the mode conversion coefficients at a land-sea discontinuity. Some numerical results are given for propagation below an anisotropic ionosphere in which the QL approximation is valid. These results are similar to those for the propagation of TE, not TM, modes below an isotropic ionosphere.

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