Model of laser plasma acceleration in the fields of a spiral electrodynamic line

The acceleration of a plasmoid, for the formation of which a conical spiral expanding in the direction of the expected plasma acceleration is used, in a rapidly increasing magnetic field of complex geometry has been considered. An algorithm for calculating the longitudinal magnetic field in the approximation of replacing a spiral line with a system of rings of variable radius has been presented. A mathematical model that is based on the interaction of the plasmoid magnetic moment with gradient of the longitudinal magnetic field decay has been proposed to analyze the efficiency of the acceleration. The possibility of deuterons reaching an average speed exceeding 10$^6$ m/s has been shown.