Comparative Study Of The Edge States At Metalic-dielectric And Magnetic-dielectric Composite Particle Arrays

Metamaterial is a kind of artificial composite material,which is composed of an array of subwavelength resonant particles arranged in a periodic or nonperiodic configuration.It triggers many exotic electromagnetic properties which are not possessed by natural materials.In a two-dimensional system,the Maxwell's equations have two sets of independent solutions,namely,TE mode(the transverse electric mode: the magnetic field is perpendicular to the propagation direction)and TM mode(the transverse magnetic mode:the electric field is perpendicular to the propagation direction).In this thesis,the composite arrays are constructed with metallic and dielectric particles at the sub-wavelength scale and the associated waveguiding properties of the edge states are investigated for the TE polarization.Meanwhile,another composite arrays with magnetic and dielectric particles are also constructed in the microwave region and the waveguiding properties of the edge states for the TM polarization are comparatively investigated.The dissertation consists of five chapters and is organized as follows:In chapter one,the research progress,the exotic electromagnetic properties,and the significance of metamaterials are elaborated.In addition,several typical applications of metamaterials are introduced.Finally,we summarized the surface properties of metamaterials,which lays a solid foundation for the following work.In chapter two,the physical model and theoretical method used in this thesis are introduced in detail,including the Mie scattering theory and the multiple scattering theory.Among them,the Mie scattering theory is used to solve the scattering properties of a single particle,namely,a ferrite rod.And then,the photonic dispersion curves and the electromagnetic field patterns of the two-dimensional composite arrays are calculated by using the multiple scattering theory.In chapter three,we expatiate the design of the particle arrays,concretely,from the straight particle chains to the zigzag particle chains and from the pure metallic particle chains to the composite metallic-dielectric particle chains.Based on the Mie scattering theory and the multiple scattering theory,the dispersion curves and the electromagnetic fields patterns of the composite structure under TE polarization can be rigorously calculated.The coupling properties between the metallic particle chain and the dielectric particle chain as well its influence on the surface plasmon polariton(SPP)are examined.In chapter four,based on the similar idea in chapter three we investigate the waveguiding properties of the composite magnetic-dielectric arrays and the comparative study is performed.Based on the Mie scattering theory and the multiple scattering theory,we can rigorously solve the dispersion curves of a few different particle arrays.As a result,we can explore the modulation of the edge states by optimizing the structure parameters and the symmetry of the particle chains.Moreover,we can also simulate the electric field patterns under the TM polarization of the structure so that a deeper understanding of the waveguiding properties can be achieved.For the double particle arrays,the coupling between the edge states and its influence on the nonreciprocal waveguiding properties of the edge modes.In the last chapter,the conclusion of the thesis is summarized,and the future research and the outlook of the magnetic-dielectric composite particle arrays are presented.