Wang Xiang-Guang, Zhang Yu-Qi, Fu Shu-Fang, Zhou Sheng, Wang Xuan-Zhang
Opt Express. 2020 Aug 17;28(17):25048-25059. doi: 10.1364/OE.399802.
We investigated Goos-Hänchen (GH) and Imbert-Fedorov (IF) shifts on a uniaxial hyperbolic crystal, where a circularly-polarized beam was incident on the crystal from the free space. The GH- and IF-shifts were analytically obtained and numerically calculated for the hexagonal boron nitride. Our results demonstrate that the GH- and IF-shift spectra are complicated and completely different in and out the hyperbolic frequency-bands (the reststrahlen bands in the infrared region). At the critical or Brewster angle, concisely analytical expressions of GH-shift was found, which explicitly state the optical-loss dependence of GH-shift at these special angles. We found the GH-shifts are very large at the critical and Brewster angles. It is very necessary to know these effects since hyperbolic materials are usually applied in the nano- and micro-optics or technology fields.
我们研究了单轴双曲晶体上的古斯-汉欣（GH）位移和因伯特-费多罗夫（IF）位移，其中圆偏振光束从自由空间入射到该晶体上。针对六方氮化硼，通过解析和数值计算得出了GH位移和IF位移。我们的结果表明，GH位移和IF位移光谱在双曲频段（红外区域的剩余射线带）内外都很复杂且完全不同。在临界角或布儒斯特角处，找到了GH位移的简洁解析表达式，该表达式明确阐述了这些特殊角度下GH位移对光学损耗的依赖性。我们发现，在临界角和布儒斯特角处，GH位移非常大。鉴于双曲材料通常应用于纳米和微光学或技术领域，了解这些效应非常必要。
