Faraday effect in an alternating magnetic field: a mathematical model

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 ad-justment 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 elec-tron 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 mag-netic field, the light exhibits a number of similar properties (re-action). 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 accord-ing to the Faraday effect through a magnetic system of one and five magnets is considered.

Keywords: adjustment of magnetic systems, faraday effect, magneto-optical media, permanent magnet, magnetic system, mathemati-cal model, focusing system, light beam