About a nonstationary field of the electric dipole

Investigation of the nonstationary field of the magnetic dipole in a medium with cylindrical 

On the other hand, with an increase of time the influence of induced currents in the surrounding medium increases, and as was established in the previous section the field measured within the formation of finite thickness does not practically differ from that in a uniform medium with the formation resistivity, if  

For instance, if the formation resistivity and its thickness are 100 ohm-m and 6 m, respectively, then the maximal time when the influence of the surrounding medium is still negligible can not exceed 2 sec (pi/p2 16). Taking into account that at such times currents induced in a moderately conductive medium create relatively weak signals we can expect serious technical problems of measuring in inductive sensors due to intrinsic processes. For this reason it is appropriate to consider some features in a behavior of the nonstationary field of the electric dipole. 

As is well known, the electric field of the alternating electric dipole with moment  

Applying Fourier transform to eq. 9.62, we obtain an expression for the transient electric field on the axis of the electric dipole when excitation of the dipole is the step function  

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