Current induced on a conducting strip which resides on the planar interface between two semi-infinite half-spaces

An analysis is described for determining the current induced by a known excitation on a conducting strip which resides on the planar interface between two semi-infinite homogeneous half-spaces of different electromagnetic properties. The perfectly conducting flat strip is of infinite extent and the excitation is transverse magnetic to the strip axis. An integral equation for the induced current is formulated and it is shown that its kernel which is in general a Sommerfeld-type integral can be expressed in closed form when the permeabilities of the two media are the same. Under this practical condition the integral equation is solved numerically and data are presented for cases of interest. For the electrically narrow strip, the integral equation is approximated and this approximate equation is solved analytically.