Ray Tracing Based On Optical Transformation Invisibility Cloak

How to control electromagnetic waves to propagate according to a predeter-mined path is a topic of great interest in the field of electromagnetism and optics.The traditional way is to implement changes in the geometry of existing material materials in nature.Since J.B.Pendry proposed the theory of generalized coordinate transformation and the theory of transitional media,people regard it from another direction and pushed related research to a climax.People designed and simulated an electromagnetic a invisibility cloak" with anisotropic and inhomogeneous media.This paper first introduces the optical conversion theory and the conversion medium theory proposed by JBPendry,and then designs and deduces two-dimensional circular and three-dimensional spherical invisibility cloaks and corresponding ma-terial parameters and dispersion relations based on optical transformation theory and transition medium theory.The deformation of Maxwell's equations is studied.The relationship between the ray motion and the Hamiltonian equation of motion is found.Finally,a numerical discrete scheme is designed and the numerical simulation of Hamilton's equation of motion is followed to trace the light of two-dimensional circular and three-dimensional spherical invisibility cloaks.The path of motion achieves ray tracing and stealth.