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Abstract The transient electromagnetic field response of an atmospheric surface duct will be studied when the distance between receiving and transmitting ends arbitrarily chosen. The duct model used is that Kahan and Eckart[26], consisting of layer of relative permittivity &) overlying an infinitely conducting plane earth .At height h , this permittivity decreases discontinuously to value 82. The source of the electromagnetic field is’ assumed to be a vertical electric dipole at the height d (d -< h ) inside the duct with arbitrary time varying moment . We can determine the transient behavior of electric field strength at any distance inside the duct . The application of two integral transforms to the wave equation for the electric field strength vector - a Laplace transform in time and two - dimensional Fourier transform in the horizontal coordinates in space lead under consideration of initial , boundary and transition conditions, to an integral representation of the of solution of the wave equation in transform space. |