Calculation of the induced electromagnetic field created by an arbitrary current distribution located outside a conductive cylinder

The present work approaches the problem of determining, by analytical solutions, the electromagnetic field created by an arbitrary distribution of alternating currents placed outside an infinitely long non-magnetic conductive cylinder. Making use of the dyadic Green function method, the electromagnetic field outside the cylinder is expressed as the sum of the field in free space and the field created by the currents induced in the conductive cylinder. The general results we obtained are particularized for the analytical solutions describing the operation of an eddy current transducer with rotating magnetic field for the case of a conductive cylinder non-coaxial with the current source.