Transient electromagnetic field of a vertical magnetic dipole above an atmospheric surface duct

摘要

The transient electromagnetic field generated by a vertical magnetic dipole above an atmospheric surface duct is investigated theoretically. The method used for the solution is essentially based on the application of which the two functions transform. Two integral transforms of the wave equation of Fitzgerald vector – a Laplace transform in time and a two-dimensional Fourier transform in the horizontal coordinates in space – are applied. This leads to an integral representation of the solution of the wave equation in the transform space, considering initial, boundary and transition conditions. Saddle point and residue methods are used to compute the integral.