A system for modifying the uniformity pattern of a thin film deposited in a plasma processing chamber includes a single radio-frequency (RF) power source that is coupled to multiple points on the discharge electrode of the plasma processing chamber. Positioning of the multiple coupling points, a power distribution between the multiple coupling points, or a combination of both are selected to at least partially compensate for a consistent non-uniformity pattern of thin films produced by the chamber. The power distribution between the multiple coupling points may be produced by an appropriate RF phase difference between the RF power applied at each of the multiple coupling points.