Method of controlling an electron beam in an electron accelerator, and an electron accelerator. In the method, a reversely symmetrical electric charge is formed between a grid window (4) and a primary window (6), so that electrons passing through the grid window (4) into the acceleration space are similarly directed on emerging from the primary window. Electric field control means (5a) are provided in the electron accelerator on the surface of the grid window (4) facing towards the primary window (6), the electric field control means (5a) and the cooling ribs (7a) of the primary window (6) being reversely symmetrical in shape.
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