论文标题
使用浆果相位的二阶准阶段匹配的概括
Generalization of Second-Order Quasi-Phase Matching in Whispering Gallery Mode Resonators Using Berry Phase
论文作者
论文摘要
低语画廊模式谐振器中的二阶非线性对其许多应用进行了高度研究，例如波长转换器，纠缠的光子源和频率梳子的产生。在这样的系统中，根据审查的材料，准相匹配方程的推导会导致在方位角限制顺序的选择规则中出现其他量子。在这里，我们证明了这些额外的量子由于在谐振器中的循环过程中的横向旋转角动量成分所经历的浆果阶段而显示出来。我们首先详细介绍了锌 - 蓝色材料的情况，然后将该理论推广到与综合光子学相关的其他晶体对称性。
Second order nonlinearities in whispering gallery mode resonators are highly investigated for their many applications such as wavelength converters, entangled photon sources and generation of frequency combs. In such systems, depending on the material under scrutiny, the derivation of quasi-phase matching equations can lead to the appearance of additional quanta in the selection rule on the azimuthal confinement order. Here, we demonstrate that these additional quanta show up due to the Berry phase experienced by the transverse spin angular momentum components of the whispering gallery modes during their circulation within the resonator. We first detail the case of Zinc-blende materials and then generalize this theory to other crystal symmetries relevant for integrated photonics.
