Abstract
The transmission and reflection properties of magnetostatic biased graphene layers are investigated based on analytical method, where graphene is treated as a bulk material. Considering the anisotropic nature of the magnetostatic biased graphene (magnetized graphene), the generalized reflection and transmission coefficients of a plane wave incidence on anisotropic multilayer structures are first derived. The accuracy of this method is validated by a numerical example of a plane wave incidence on a magnetized monolayer graphene in free space. Based on this model, the transmission coefficient decreases with increasing the incident angle for the TE (transverse electric) polarized wave incidence, while an opposite phenomenon occurs for the TM (transverse magnetic) polarized wave incidence. The transmission properties can be also modulated by changing the external static magnetic field. The electromagnetic propagation properties of composites consisting of magnetized graphene and dielectric layers are also analyzed based on this method. The transmission properties degrade with increasing the number of magnetized graphene layers.
Highlights
Graphene has attracted much attention due to its superior electrical, thermal, optical and mechanical properties [1]
The expression of surface conductivity can be categorized into three forms [2]: (i) in the case of spatial dispersion but with neither electrostatic nor magnetostatic bias, the surface conductivity can be expressed by an operator; (ii) when graphene is biased by a static electric field with neither static magnetic field nor spatial dispersion, the surface conductivity is a scalar and the corresponding graphene can be regarded as an isotropic material; (iii) when graphene is biased by a static magnetic field and possibly a static electric field, the surface conductivity is a tensor
It can be found that for the the E(TM) and H (TE) polarized wave incidence, the transmission decreases while the reflection increases when the incident angle θ increases, the reason is the same as that of TE and TM waves incidence on a monolayer graphene as mentioned before
Summary
Graphene has attracted much attention due to its superior electrical, thermal, optical and mechanical properties [1]. Based on the first method with graphene as a 2-D sheet, Sounas and Caloz successfully obtained the analytic expressions of the reflection and transmission coefficients when a plane wave obliquely incidents on a magnetostatic biased graphene sheet in free space [3]. This paper offers the analytical formulations of the generalized transmission and reflection coefficients of a plane wave incidence on anisotropic multilayer structures based on the transfer matrix method (TMM). The paper provides numerical examples of oblique plane wave incidence on composites consisting of magnetized graphene layers and dielectrics, and analyzes the reflection and transmission properties of these structures.
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