扭曲双层光子晶体光学特性的模拟
Modeling the optical properties of Twisted Bilayer Photonic Crystals
摘要：
我们展示了一个扭曲的双层石墨烯的光子模拟，具有超平坦的光子带，并表现出极慢的光行为。我们的扭曲双层光子器件，它具有在电信窗口的C波段的工作波长，使用由甲基丙烯酸甲酯隧穿层分开的两个晶体硅光子晶体板。我们用有限元法数值计算了魔角和相应的光子能带结构，它在整个布里渊区呈现出平坦的能带。该平坦带导致群速度接近零，并在线性周期光子系统中引入光局域化。利用平面波连续介质模型，我们发现扭曲双层光子晶体中的光子模式并不像扭曲双层石墨烯中的电子模式那样紧密地束缚在一起。此外，光子系统具有较大的带不对称性。能带结构可以通过调整器件几何形状来容易地工程化，从而在器件的设计中给予显著的自由度。我们的工作提供了一个基本的理解扭曲双层光子晶体的光子特性，并打开了大门，以纳米尺度为基础的非线性增强和超辐射。
英文摘要：
We demonstrate a photonic analog of twisted bilayer graphene that has ultra-flat photonic bands and exhibits extreme slow light behavior. Our twisted bilayer photonic device, which has an operating wavelength in C-band of the telecom window, uses two crystalline silicon photonic crystal slabs separated by a methyl methacrylate tunneling layer. We numerically determine the magic angle using a finite-element method and the corresponding photonic band structure, which exhibits a flat band over the entire Brillouin zone. This flat band causes the group velocity to approach zero and introduces light localization in a linear periodic photonic system. Using a plane-wave continuum model we find that photonic modes in twisted bilayer photonic crystals are not as tightly bound as their electronic counterparts in twisted bilayer graphene. In addition, the photonic system has a larger band asymmetry. The band structure can easily be engineered by adjusting the device geometry, giving significant freedom in the design of devices. Our work provides a fundamental understanding of the photonic properties of twisted bilayer photonic crystals and opens the door to nanoscale-based non-linear enhancement and superradiance.
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