Abstract
We study the effect of a smoothly inhomogeneous stochastic disturbance in the impedance of the upper wall of a plane Earth-ionosphere waveguide on the field of the vertical electric dipole placed in the waveguide channel. The case where the disturbance variance is comparable to the mean impedance is considered. An expression for the Hertz potential is found, and the conditions for use of the Bourre approximation are specified.
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