Space and time wave shaping for transmission into a lossy medium

Electromagnetic waves traveling into a lossy medium suffer distortion in both time and space. This situation poses a design problem if it is desired to have a specified form, in both time and space, for the fields at a given location in the lossy medium. An analytical procedure is presented so that the specified field in a lossy conducting half-space can be realized with a discrete array of concentric loop currents on the surface. Each loop current is stepped on at a finite sequence of discrete times. The procedure could be applied in geophysical subsurface probing, hyperthermic cancer therapy, and digital signal transmission.< >