A method for enhancing the recovery of hydrocarbon deposit includes the step of sensing a material property of an underground volume. A three-dimensional map identifying the spatial variation in the sensed material property of the underground volume is generated. Propagating electromagnetic radiation is transmitted in the volume based on the map. The propagating electromagnetic radiation transmission is varied in at least one of frequency, polarization, wavelength, frequency, amplitude, mode, and phase in response to the variation in the material property of a region within the volume to which the propagating electromagnetic radiation is directed. Accordingly, the volume is heated in a spatially varying manner to heat material in the volume and thereby induce the flow of hydrocarbon deposits from the volume.