The Optical Properties Of The Metamaterial Based On Anisotropic Multilayers

With the development of nanometer scale processing and charaterization technology,the study of artificial metamaterials and meta-surface has reached a new stage.Those periodical nanostructures show many electromagnetic properties and exhibit great application prospects in the field of optical signal phase modulation,photon energy selective transmission,near field information imaging,magneto-optical effect,and so on.Recent studies indicated that the modulation of photon can be achieved by utilizing multifilm structure.Numerous previous studies have focused on periodically arranging isotropic film materials to design anisotropic meta-materials for specific optical responses.It worths noting that such deep subwavelenth scale multifilm materials generally has hyperbolic dispersion as its nature,which can be called "hyperbolic material".Recently,"hyperbolic materials" have been used as a basic element to construct a new type multilayer structure,but the global description of the effective permitivity parameters for this meta-material is rarely reported.This paper aims to describe the global parameters of this new type meta-material.Some mathematics methods are developed to study the effective permitivity(?eff),permeability(?eff)and also wave parameters including wave vector k and impedance Z by reflection and transmission coefficients with phase information.This paper offered a reliable theoretical method for designing new type photonic meta-materials for some specific functions.The research of the paper includes the following aspects:iii1.This paper introduced the photonic crystal and anisotropic material of the basic physical concepts,characteristics and especially put emphasis on 'hyperbolic mate-materials'.Then some mathematical methods and physical models are applied in this paper.A four-dimensional transfer matrix method was introduced in detail in this paper.2.This paper introduces a widely used method called effective medium theory(EMT)and deduces the effective permitivity tensors of the multilayers made of anisotropic materials.The applicability of this effective medium theory used in description of this new type multilayer structures is discussed in detail.3.By applying two different methods(the function fitting method and the analytic method)we obtain the more accurate global effective parameters and wave parameters from the reflection and transmission coefficients with phase information.