Eirik G. Flekkøy, Marcus Vicinius Carneiro; An exact solution for the transient electromagnetic field around a finite-length transmitter. Geophysics ; 82 (2): E51–E56. doi: https://doi.org/10.1190/geo2016-0305.1
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We obtain the exact, closed-form solutions for the electromagnetic field around a finite-length transmitter in a conducting homogeneous whole space. The field is obtained for the two cases following after the transmitter is turned on or off. The electric field solution is obtained by direct integration of the source currents along with the Green’s function of the diffusion equation, and the magnetic field is obtained by the direct integration of Ampere’s law.