We theoretically demonstrate the nonreciprocal behavior, for circularly polarized electromagnetic waves, of a 2D cross-grating made of nano-slits filled with a gyrotropic material subject to an external polar bias magnetic field. We provide closed-form expressions for the reflection and transmission of the system, allowing one to fully describe and understand the extraordinary optical transmission (EOT) mechanism occurring in the system. When the slits are filled with a gyrotropic material, the structure exhibits a non-reciprocal unidirectional light transmission in the EOT frequency range, which is fully explained by the proposed modal analytic analysis.

中文翻译：

---

在非凡的光传输范围内二维纳米交叉狭缝光栅中光学霍尔效应的理论分析

对于圆极化电磁波，我们从理论上证明了由纳米狭缝填充的二维狭缝的不可逆行为，该狭缝填充有易受外部极性偏置磁场影响的回旋材料。我们为系统的反射和透射提供封闭形式的表达式，使我们可以完全描述和理解系统中发生的异常光传输（EOT）机制。当狭缝中填充有回旋材料时，该结构在EOT频率范围内显示出不可逆的单向光透射，建议的模态分析可以完全解释该结构。