Baba Toshihiko, Abe Hiroshi, Asatsuma Tomohiko, Matsumoto Takashi
Department of Electrical and Computer Engineering, Yokohama National University, 79-5 Tokiwadai, Hodogayaku, Yokohama 240-8501, Japan.
J Nanosci Nanotechnol. 2010 Mar;10(3):1473-81. doi: 10.1166/jnn.2010.2026.
Photonic crystals (PCs) are multi-dimensional periodic gratings, in which the light propagation is dominated by Bragg diffraction that appears to be refraction at the flat surfaces of the PC. The refraction angle from positive to negative, perfectly or only partially obeying Snell's law, can be tailored using photonic band theory. The negative refraction enables novel prism, collimation, and lens effects. Because PCs usually consist of two transparent media, these effects occur at absorption-free frequencies, affording significant design flexibility for free-space optics. The PC slab, a high-index membrane with a two-dimensional airhole array, must be carefully designed to avoid reflection and diffraction losses. Light focusing based on negative refraction forms a parallel image of a light source, facilitating optical couplers and condenser lenses for wavelength demultiplexing. A compact wavelength demultiplexer can be designed by combining the prism and lens effects. The collimation effect is obtainable not only inside but also outside of the PC by optimizing negative refractive condition.
光子晶体(PCs)是多维周期光栅,其中光传播由布拉格衍射主导,布拉格衍射在光子晶体的平面上看起来像是折射。从正折射角到负折射角,完全或仅部分遵循斯涅尔定律,可以使用光子带理论进行调整。负折射能够实现新颖的棱镜、准直和透镜效应。由于光子晶体通常由两种透明介质组成,这些效应在无吸收频率下发生,为自由空间光学提供了显著的设计灵活性。光子晶体平板是一种具有二维气孔阵列的高折射率薄膜,必须精心设计以避免反射和衍射损耗。基于负折射的光聚焦形成光源的平行图像,便于用于波长解复用的光耦合器和聚光透镜。通过结合棱镜和透镜效应,可以设计出紧凑的波长解复用器。通过优化负折射条件,不仅可以在光子晶体内,而且可以在光子晶体外获得准直效应。