The Electromagnetic Transports Of The Topological Insulators

In this paper,we mainly investigate the particular electromagnetic transport properties of the topological insulators spherical particles.Based on the full-wave theory of ordinary dielectric sphere and Lorenz-Mie scattering theory of small particles,we generalize these to the systems composed of the topological insulators particles.The discussions are concentrated on such phenomena as forward and backward scattering,polarization,Goos-H?nchen shift,and spin Hall shift.The main results of our work are listed as follows:1.Controlling the angular distribution and the polarization of the light scattering by topological insulators spherical nanoparticlesWe conduct a further study on the regulation and control of the angular distribution and the polarization of the light scattering by spherical particles with topological insulator on the basis of the full-wave scattering theory,and great attention is paid to the influence on the value of the axion angle for forward scattering and backward scattering.In the quasi-static approximation,suppression conditions of the light scattering of topological insulators spherical particles in?(28)0~?and?(28)180~?are derived by applying the Lorenz-Mie scattering coefficients.Next,we can obtain the position of the minimum value of the differential scattering cross section by changing parameters as permittivity,permeability and topological parameters.In addition,we also obtain the mathematical expression that scattered light is the complete polarized light when natural light is penetrating.Finally,we discuss the polarization degree of the scattered light of the topological insulator particles by using the Stokes parameter.2.Beam Shifting Effect of topological insulators spherical particlesWe adopt the full-wave electromagnetic theory and Lorenz-Mie scattering theory to study plane wave incident on the topological insulators nanoparticles of the Goos-H?nchen(GH)shift and the Spin-Hall(SH)shift of reflection light.We have conducted numerical simulations of GH shift and SH shift by using of Mathematica,and get the influence of topological parameters on the two shifts:It will produce cross-coupling phenomenon,for constitutive relationship within the topological insulator changes,so the electromagnetic field inside the spherical,scattering the electromagnetic field will change,thus causing changes in the Poynting vector.We can get the fact that the change of Poynting vector will cause the change of Goos-H?nchen shift and Spin-Hall shift from the definition of two shifts.Therefore,for material made of topological insulators,there must be some unusual phenomena in Goos-H?nchen shift and Spin-Hall shift.