The dispersion characteristics of surface waves for transverse electric and magnetic polarization modes of photonic hypercrystals (PHC) are theoretically explored. PHC are composed of a dielectric and hyperbolic metamaterial (HMM) with thin layers of both metal and dielectric surface waves that decay inside red-shifted gaps have a negative group velocity, whereas surface waves that decay inside traditional blue-shifted gaps have more typical characteristics. Curve plotting is used to elucidate on how these surface waves depend on several other structural properties such as filling factor, widths of HMM and dielectric, frequency range and angle of incidence etc.

中文翻译：

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光子超晶体红移和蓝移间隙中表面波衰减的色散特性

从理论上探讨了光子超晶体（PHC）横向电偏振和磁偏振模式的表面波色散特性。PHC 由介电和双曲超材料 (HMM) 组成，具有金属和介电薄层，在红移间隙内衰减的表面波具有负群速度，而在传统蓝移间隙内衰减的表面波具有更典型的特征。曲线图用于阐明这些表面波如何依赖于其他几个结构特性，例如填充因子、HMM 和电介质的宽度、频率范围和入射角等。