Abstract A closely-spaced periodic array of identical thin rigid plates illuminated by incident waves is shown to exhibit properties of a negative refraction metamaterial under certain conditions. The close-spacing assumption is used as a basis for an approximation in which the region occupied by the plate array acts as an effective medium. Effective matching conditions on the plate array boundary are also derived. The approximation allows explicit expressions to be derived to wave scattering problems involving tilted plate arrays. This approximation is tested for its accuracy against an exact treatment of the problem based on Bloch–Floquet theory. Both the exact and effective medium theory predict perfect wave transmission at all wave frequencies through the array when the tilt angle of plates in the array is the reverse of the incident wave direction: the array acts as an all-frequency perfectly-transmitting negative-refraction medium. For certain frequencies the array is also shown to act as an all-angle perfectly-transmitting negative-refraction material.

中文翻译：

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板阵列作为完美透射负折射超材料

摘要 由入射波照射的相同薄刚性板的紧密间隔的周期性阵列被证明在某些条件下表现出负折射超材料的特性。紧密间隔假设用作近似的基础，其中板阵列占据的区域充当有效介质。还推导出了板阵列边界上的有效匹配条件。该近似允许对涉及倾斜板阵列的波散射问题导出显式表达式。该近似值的准确性与基于 Bloch-Floquet 理论的问题的精确处理进行了测试。当阵列中板的倾斜角与入射波方向相反时，精确和有效介质理论都预测通过阵列的所有波频率的完美波传输：阵列充当全频率完美传输负折射中等的。对于某些频率，该阵列还表现出作为全角度完美透射负折射材料的作用。