Geometrized theory of two-dimensional relativistic electron beams in the φ-representation

Аннотация

Geometrized equations of two-dimensional electron beams with the electric field potential used as the longitudinal coordinate are presented as three relations on the current tube, which have the form of ordinary differential equations, and an evolutionary system of first-order partial differential equations, which characterizes the transverse variation of beam parameters from the data at the current tube.