三维各向异性超常媒质交错结构的亚波长谐振特性研究

以填充各向异性超常媒质矩形波导中的电磁场解为基础，通过建立与求解填充各向异性超常媒质交错结构的矩形谐振腔的谐振方程，深入研究了三维各向异性超常媒质交错结构的亚波长谐振特性.结果发现，三维各向异性超常媒质交错结构的亚波长谐振条件具有更为多样性的物理解，在固定参数下，其物理解的个数往往超过一个，还针对谐振结构的横向尺寸对亚波长谐振条件的影响进行了讨论.结果表明，随着横向尺寸的减小亚波长谐振条件的物理解数量将逐渐增多直至趋于无穷.这意味着即使超常媒质的本构参数无法控制，仍然可以通过调节谐振结构的横向尺寸来得到亚波长谐振腔. 关键词： 各向异性 超常媒质 交错结构 亚波长谐振

Resonance characteristics of a three-dimensional anisotropic metamaterial bilayer

The resonance characteristics of a three-dimensional anisotropic metamaterial bilayer is investigated through solving the resonance equation for a rectangular cavity filled with two layers of different isotropic metamaterials. It is found that the solution of subwavelength resonance is highly dependent on the product of the transversal and longitudinal permeabilities，and there exist more than one for the subwavelength resonance in most cases. In addition，it is found that the width of the corresponding waveguide of the rectangular cavity has an essential effect on the number of solutions for the resonance condition equation. These results are of significance in the application of the metamaterials to sub-wavelength resonance structures and miniaturized cavity resonators.