An electron gun is disclosed which includes a thermionic cathode for emitting an electron beam, a grid having a first aperture for controlling the diameter of the electron beam, and an anode having a second aperture for catching a part of the electron beam having passed through the first aperture; and in which the diameter of the first aperture is smaller than or equal to the diameter of the second aperture, and the grid and the anode are applied with positive potentials relative to a cathode potential, for example, with a voltage of 5 to tens of volts and a voltage of 100 to 500 volts, respectively, to form a uniform axial field between the grid and the anode, thereby generating a laminar flow electron beam having a constant current density.