The invention is embodied in an inductively coupled RF plasma reactor including a reactor chamber enclosure defining a plasma reactor chamber and a support for holding a workpiece inside the chamber, a non-planar inductive antenna adjacent the reactor chamber enclosure, the non-planar inductive antenna including inductive elements spatially distributed in a non-planar manner relative to a plane of the workpiece to compensate for a null in an RF inductive pattern of the antenna, and a plasma source RF power supply coupled to the non-planar inductive antenna. The planar inductive antenna may be symmetrical or non-symmetrical, although it preferably includes a solenoid winding such as a vertical stack of conductive windings. In a preferred embodiment, the windings are at a minimum radial distance from the axis of symmetry while in an alternative embodiment the windings are at a radial distance from the axis of symmetry which is a substantial fraction of a radius of the chamber.