A plasma processing system and method provide an internal coil in a vacuum chamber for maintaining a high density plasma therein in a manner that may have a less restrictive requirement on metal flux shielding than when the shield protects a dielectric window. The shield also shields the coil from plasma heat load. The coil need not be actively cooled. Some metal is allowed to pass through the shield and deposit on the coil. This leads to a thinner shield with less complicated slots than for shields in external coil configurations. Good RF transparency of the shield is a result of the much simpler shield shape. The coil is not sputtered and is thus not consumable. The coil is enclosed in a small conductive space, reducing its inductance, resulting in reduced coil current and voltage, in turn simplifying the design and construction of the tuning network and RF connectors. Stiffeners support the coil and are profiled to avoid formation of conductive paths forming from metal deposits.