Sauvan C, Lecamp G, Lalanne P, Hugonin J
Opt Express. 2005 Jan 10;13(1):245-55. doi: 10.1364/opex.13.000245.
When a guided wave is impinging onto a Photonic Crystal (PC) mirror, a fraction of the light is not reflected back and is radiated into the claddings. We present a theoretical and numerical study of this radiation problem for several three-dimensional mirror geometries which are important for light confinement in micropillars, air-bridge microcavities and two-dimensional PC microcavities. The cause of the radiation is shown to be a mode-profile mismatch. Additionally, design tools for reducing this mismatch by tuning the mirror geometry are derived. These tools are validated by numerical results performed with a three-dimensional Fourier modal method. Several engineered mirror geometries which lower the radiation loss by several orders of magnitude are designed.
当导波撞击光子晶体（PC）镜时，一部分光不会被反射回来，而是辐射到包层中。我们对几种三维镜几何结构的这种辐射问题进行了理论和数值研究，这些几何结构对于微柱、气桥微腔和二维PC微腔中的光限制非常重要。结果表明，辐射的原因是模式轮廓不匹配。此外，还推导了通过调整镜几何结构来减少这种不匹配的设计工具。这些工具通过三维傅里叶模态方法进行的数值结果得到了验证。设计了几种将辐射损耗降低几个数量级的工程镜几何结构。
