Two-dimensional analysis of the relativistic parapotential electron flow in a magnetically insulated transmission line oscillator (MILO)

This paper presents a two-dimensional model for studying the relativistic p arapotential electron flow in a magnetically insulated transmission line os cillator (MILO), The distribution expressions of the velocity, energy, dens ity, and self electric and self-magnetic fields of electron flow are derive d and then analyzed numerically. Results of the model show that the self-el ectric and self-magnetic fields and density of the electron flow are quite high near the surface of the slow-wave structure of a MILO where they may r each their peak values. In addition, the formation of the insulated electro n flow requires a large current flowing through the inner conductor (cathod e) of the MILO, which is identical with the previous works. It is also foun d that considerable increases in the absolute values of axial and radial ve locities of the electron flow occur when electrons approach the surface of the slow-wave, structure. The electron flow is mainly along the axial direc tion in between the surfaces of cathode and slow-wave structure except the regions near the two surfaces. More interestingly, the radial velocity of e lectron flow can still be increased but the axial velocity decreased when t he electrons go into the region in between the inner and outer radii of the slow-wave structure, where the electron flow is not always dominated by ax ial flow, The results of the present paper are more realistic;than those of the one-dimensional model in describing the parapotential electron flow in a MILO.