A magnetically enhanced HDP-CVD plasma source includes a hollow cathode target, an anode and a gap between. A cathode target magnet assembly forms magnetic field lines that are substantially perpendicular to a cathode target surface. The gap magnet assembly forms a cusp magnetic field in the gap that is coupled with the cathode target magnetic field. The magnetic field lines cross a pole piece electrode positioned in the gap. This pole piece is isolated from ground and can be connected with a voltage power supply. The plasma source can be configured to generate volume discharge. By controlling the duration, value and a sign of the electric potential on the pole piece, the plasma ionization can be controlled. The magnetically enhanced HDP-CVD source can also be used for chemically enhanced ionized physical vapor deposition (CE-IPVD). Gas flows through the gap between hollow cathode and anode.