Abstract: The spiral phase of the vortex beam itself allows it to carry more information to meet people's needs and expand the channel capacity in the communication process. Still, the current research based on the theory of electromagnetic field and electromagnetic waves mainly focuses on its electric field, and the research on the magnetic field is not perfect. In this paper, the magnetic field propagation characteristics of LaguerreGaussian beams on the layered interface are discussed, and the magnetic field expressions of the incident wave, reflected wave, and refracted wave of LaguerreGaussian beam at the stationary layered interface and the motion layered interface are derived, and the twodimensional and threedimensional magnetic field strength diagrams are analyzed, and the effects of topological charge and relative motion velocity on the magnetic field strength of LaguerreGaussian beams are obtained.

Key words:  LaguelGaussian beam, Lorentz transformation, layered interface, transmission characteristic