Casing segment having at least one transmission crossover arrangement

A casing segment that comprises:

• a conductive tubular body having an outer diameter sized to case a borehole drilled by a drill string and an inner diameter sized to receive an inner tubular having a conductive path along a wall of the inner tubular;
• at least one transmission crossover arrangement, each transmission crossover arrangement having an adapter in communication with a coil antenna that encircles an exterior of the tubular body, wherein the adapter is positioned along a wall of the conductive tubular body to couple to a conductive path coil or conductive path electrode of the inner tubular;
• and wherein a size of the adapter is greater than a size of the conductive path coil or conductive path electrode;
• wherein each adapter is inductively coupled to the conductive path coil mounted to an inner tubular string comprising the inner tubular which is deployed within the conductive tubular body in the borehole, wherein the adapter is an inductive adapter coil, and wherein the size of the adapter is a longitudinal dimension of the inductive adapter coil and the size of the conductive path coil is a longitudinal dimension of the conductive path coil.