Opt Lett. 2018 Jun 15;43(12):2803-2806. doi: 10.1364/OL.43.002803.
Low-loss photonic crystal (PC) mirrors exhibit positive and negative Goos-Hänchen shift (GHS) due to the strong angular and wavelength dependencies of their reflected phase. This Letter demonstrates the existence of large positive and negative GHS in PC mirrors through theoretical, numerical, and experimental approaches. A simple algebraic relation shows that positive effective thickness yields positive (negative) GHS for resonances that blue (red) shift with angle, while the opposite is true for interfaces with negative effective thickness. Spatiotemporal coupled-mode theory demonstrates the above relation for simple systems with one or two resonance modes, and it also shows the existence of both positive and negative GHS. These effects are numerically and experimentally verified in complex PCs with several resonance modes.
低损耗光子晶体 (PC) 反射镜由于其反射相位强烈依赖于角度和波长，表现出正、负古斯-汉欣位移 (GHS)。本 Letter 通过理论、数值和实验方法证明了 PC 反射镜中存在大的正、负 GHS。一个简单的代数关系表明，对于随角度蓝移 (红移) 的共振，正有效厚度会产生正 (负) GHS，而对于具有负有效厚度的界面则相反。时空耦合模理论为具有一个或两个共振模式的简单系统证明了上述关系，并且还表明了正、负 GHS 的存在。这些效应在具有多个共振模式的复杂 PC 中得到了数值和实验验证。
