Study On Electromegnatic Local Density Of States In Graphene Covered Hyperbolic Metamaterial

Graphene can support surface plasmons and its properties are tuned from near-infrared to terahertz frequencies,researchers are often used for special function of the spontaneous emission rate,in recent years.In addition,hyperbolic metamaterial not only can simultaneously support s and p polarization,but can support hyperbolic modes with broadband.It demonstrated the electromagnetic local density of states(EM-LDOS)can be efficiently enhanced due to hyperbolic metamaterials can support hyperbolic modes with a broad spectral range.In this paper,the electromagnetic local density of states of graphene covered hyperbolic metamaterials have detailed analysis and shown numerical calculation,using the effective medium theory(EMT)and transfer matrix method(TMM).Firstly,based on the EMT,TMM,and Green's function,the theory of local density of states between two semi-infinite bulk are analyzed in detail.In addition,optical model and parameters of graphene,SiC,and metamaterial are also shown.Then,we analyse the optical properties of two graphene-covered hyperbolic metamaterials with differrent chemical potential of graphene.these are presented for further analyzing the EM-LDOS of graphene covered hyperbolic metamaterials.Finally,we theoretically calculate the EM-LDOS of two graphene covered hyperbolic metamaterials with EMT and TMM in different filling factors,vacuum gap,and the chemical potential.By adjusting the structural parameters,this study offers another method of tunning the EM-LDOS.