A plasma generating device includes a plasma source having a plasma source hollow body (1) and an electron emission unit (5) for emitting free electrons into the plasma source hollow body. The plasma source hollow body (1) has a first gas inlet (7a) and a plasma source opening (10) which forms an opening to a vacuum chamber. An anode has an anode hollow body (2). The anode hollow body (2) has a second gas inlet (7b) and an anode opening (11) which forms an opening to the vacuum chamber, and a voltage source (8) the negative pole of which is connected to the electron emission unit (5) and the positive pole of which is connected to the anode hollow body (2). The positive pole of the voltage source (8) is electrically connected by a first shunt (6a) to the plasma source hollow body.