A pulsed electron ablation (PEA) utilizes a source of a high power density electron beam which includes a cathode plasma supplying electrons for generation of the electron beam and an anode plasma having a front layer extending in the processing chamber in a counter relationship with the front layer of the cathode plasma. A gas supply line is coupled to the processing chamber to supply a process gas in a controlled fashion to the anode to create a pressure gradient between the anode and the cathode plasma, and to stimulate an intense ionization of the process gas in the vicinity to the anode to form the anode plasma. The power density of the electron beam sharply increases as the result of an interaction of said cathode and anode plasmas at the double space charge contact layer formed between their fronts. A target is positioned in the processing chamber a predetermined distance from the front layer of the cathode plasma and is exposed to the electron beam to produce stream of the ablation plasma.