System that focuses electron beams in an electro-static area to a laminar flow of electrons with uniform distribution of current density and extraordinary demagnification includes a housing having a first interior portion and a second interior portion electrically insulated from the first interior portion. The second interior portion has an electric field-free space. An electrode system is disposed in the first interior portion and includes a cathode assembly and at least one anode assembly. The cathode assembly generates an electron beam that passes through each anode assembly and then into the electric field-free space in the second interior portion. The system parameters may be calculated and created due to the CGMR conceptual method.