In illustrative implementations of this invention, interferential stimulation is precisely directed to arbitrary regions in a brain. The target region is not limited to the area immediately beneath the electrodes, but may be any superficial, mid-depth or deep brain structure. Targeting is achieved by positioning the region of maximum envelope amplitude so that it is located at the targeted tissue. Leakage between current channels is greatly reduced by making at least one of the current channels anti-phasic: that is, the electrode pair of at least one of the current channels has a phase difference between the two electrodes that is substantially equal to 180 degrees. Pairs of stimulating electrodes are positioned side-by-side, rather than in a conventional crisscross pattern, and thus produce only one region of maximum envelope amplitude. Typically, current sources are used to drive the interferential currents.
