Electromagnetic field of the magnetic dipole in a uniform isotropic medium

Electromagnetic Field of the Magnetic Dipole in a Uniform Isotropic Medium 

Analyses of the electromagnetic field will be started from the simplest case of a uniform conducting and isotropic medium. As is known, expressions for complex amplitudes of the field caused by the magnetic dipole, oriented along the z-axis, have the form (Chapter 2)  

As is well known, sources of the secondary field are induced currents, the distribution of which is defined by the frequency and the conductivity of the medium. Current lines are circles located in planes perpendicular to z-axis. In conventional induction logging, when the direction of the dipole moment coincides with the borehole axis, the main attention 

Having substituted into eq. 10.4 value /c = (1 + i)/h, we will prescmt the field as a sum of two components, namely, the inphase and quadrature components  

In accord with eq. 10.5 we have for the magnitude and the phase of the field, he.  

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