Эффект Фарадея в знакопеременном магнитном поле: математическая модель

Abstract

When creating magnetic focusing systems, for example, for traveling wave lamps, there are known problems associated with the need to adjust the electron flow moving in a given direction along the axis of the device, that is, to align its axis with the magnetic axis of the focusing system. The ideal adjustment of the device is very difficult to achieve due to many influencing factors, therefore, it becomes necessary to create automated complexes for simulating the alignment of the electron beam in the magnetic field formation system for focusing systems. The alignment problems can be solved using magneto-optical methods, since it is known that when exposed to a magnetic field, the light exhibits a number of similar properties (reaction). The aim of the work is to create a mathematical model for the passage of a light beam through an alternating magnetic system based on the Faraday effect. As a result, a mathematical model has been obtained, that should allow modeling the change in the plane of light polarization during the passage (movement of the magneto-optical sensor) along the axis of the magnetic system. The simulation of the passage of light according to the Faraday effect through a magnetic system of one and five magnets is considered.