We solved the problem of Floquet-Bloch waves propagation in the one-dimensional gyrotropic magnetophotonic crystal with transverse magnetic field. New fundamental solutions of the Hill’s equation in crystal layers based on the Floquet theory for a third boundary value problem are obtained in the analytical form. The dispersion equation is found through fundamental solutions. The analysis of the dispersion properties of the structures depending on the material parameters was carried out and extraordinary surface waves inherent only in gyrotropic magnetophotonic crystals have been discovered.

中文翻译：

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具有横向磁场的磁光子晶体中的 Floquet-Bloch 波

我们解决了具有横向磁场的一维回旋磁光子晶体中的 Floquet-Bloch 波传播问题。以解析形式获得了基于 Floquet 理论的晶体层中希尔方程的新基本解，用于第三边值问题。色散方程是通过基本解找到的。对取决于材料参数的结构的色散特性进行了分析，并发现了仅在回旋磁光子晶体中固有的非凡表面波。