In one aspect of the invention an induction resistivity tool incorporated
into a downhole tool string comprises an outer wall of a downhole
component having an outer diameter. At least one induction transmitter
assembly is disposed along the outer diameter. The transmitter assembly
comprises at least one coil array and at least one induction transmitter
coil wound about at least one core. The coil array comprises a plurality
of magnetic units and each unit comprising a magnetic field orientation.
The magnetic field orientations accumulatively form a Halbach array with
an augmented field side and a canceled field side of the array. The
transmitter assembly generates an induction signal from outside the outer
wall and substantially prevents the signal from entering the outer wall
when the transmitter assembly is carrying an electrical current.