薄导电膜上偶极源麦克斯韦方程组的解
On solutions of Maxwell's equations with dipole sources over a thin conducting film
摘要：
我们推导和解释的时间谐波麦克斯韦方程组的解决方案与垂直和水平电偶极子附近的平面，薄的导电膜，例如石墨烯片，躺在两个无界的各向同性和非磁性介质。当周围介质具有相等的折射率并且偶极子和观测点都位于膜的平面上时，所有场分量的精确表达式被提取在已知超越函数的快速收敛系列中。这些解决方案被简化为所有距离的源时，膜表面电阻率是大的幅度相比，周围空间的固有阻抗。公式揭示了两种类型的波，可能会被激发的偶极子和薄膜上传播的解析结构。这些波之一是密切相关的表面等离子体激元的横磁（TM）极化平面波。
英文摘要：
We derive and interpret solutions of time-harmonic Maxwell's equations with a vertical and a horizontal electric dipole near a planar, thin conducting film, e.g. graphene sheet, lying between two unbounded isotropic and non-magnetic media. Exact expressions for all field components are extracted in terms of rapidly convergent series of known transcendental functions when the ambient media have equal permittivities and both the dipole and observation point lie on the plane of the film. These solutions are simplified for all distances from the source when the film surface resistivity is large in magnitude compared to the intrinsic impedance of the ambient space. The formulas reveal the analytical structure of two types of waves that can possibly be excited by the dipoles and propagate on the film. One of these waves is intimately related to the surface plasmon-polariton of transverse-magnetic (TM) polarization of plane waves.
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