空间色散单轴磁介质平板的矢量电路理论
Vector circuit theory for spatially dispersive uniaxial magneto-dielectric slabs
摘要：
我们提出了一个一般的并矢矢量电路形式主义，适用于单轴磁介质板，明确考虑到强空间色散。这种形式主义扩展了矢量电路理论，以前只介绍了各向同性和手性板。在这里，我们假设问题的几何形状只在平行于板界面的平面内施加强的空间色散。简要讨论了由于考虑沿界面法线方向的空间色散而产生的差异。推导了一般的并矢阻抗和导纳矩阵，并计算了任意平面波入射时相应的透射系数和反射系数。作为一个实际的例子，我们考虑的超材料板建立的导线和开口环谐振器，并表明，忽略空间色散和单轴性质，在这种结构中，导致传输特性的计算显着的错误。
英文摘要：
We present a general dyadic vector circuit formalism, applicable for uniaxial magneto-dielectric slabs, with strong spatial dispersion explicitly taken into account. This formalism extends the vector circuit theory, previously introduced only for isotropic and chiral slabs. Here we assume that the problem geometry imposes strong spatial dispersion only in the plane, parallel to the slab interfaces. The difference arising from taking into account spatial dispersion along the normal to the interface is briefly discussed. We derive general dyadic impedance and admittance matrices, and calculate corresponding transmission and reflection coefficients for arbitrary plane wave incidence. As a practical example, we consider a metamaterial slab built of conducting wires and split-ring resonators, and show that neglecting spatial dispersion and uniaxial nature in this structure leads to dramatic errors in calculation of transmission characteristics.
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