The response of a vertical dipole above a conducting earth

An exact representation for the electromagnetic field above a conducting earth is investigated theoretically. The time domain response of a vertical magnetic dipole above a conducting half-space is of a crucial importance in the interpretation of air borne electromagnetic data. The classical approach in finding a solution is to apply Fourier inversion to the formal time harmonic solution, leading to a representation in the form of a double infinite integral. Keywords: electromagnetic field, anisotropic and isotropic