AI 中文总结
研究高折射率超表面光学克尔非线性增强，以GaP为模型材料用FDTD模拟，提取空心球等空穴有效非线性折射率，发现孤立空穴共振增强适度，紧密间隔空穴间模式响应更强，开放腔几何结构对混合系统有优势。
AI 中文摘要
近年来，纳米光子学研究转向高折射率材料表面空穴中的米氏共振。本文以磷化镓（GaP）为模型材料，采用三维时域有限差分（FDTD）模拟研究了具有米氏空穴晶格的高折射率薄膜超表面的光学克尔效应（OKE）。提取了高折射率平板中空心球和截头圆锥（平截头体）空穴的有效非线性折射率。具有孤立米氏空穴共振的超表面仅产生适度的有效OKE增强，相对于块状GaP最高可达10倍。当空穴间距超过约220nm时，GaP超表面中的米氏空穴共振可被观测到；否则，空穴之间高折射率材料中的模式占主导。紧密间隔空穴之间高折射率区域中发展的后期模式产生更强的响应。虽然仅依赖能量密度增强的应用中米氏空穴超表面的非线性品质因数有限，但开放腔几何结构为需要访问受限场的混合系统提供了优势，例如量子发射器或渗透到空穴中的非线性材料。
英文摘要
Recently, research in nanophotonics has turned toward Mie resonances in voids on the surface of high-refractive-index materials. The optical Kerr effect (OKE) in high-index membrane metasurfaces with Mie void lattices is investigated using three-dimensional finite-difference time-domain (FDTD) simulations, with gallium phosphide (GaP) as a model material. The effective nonlinear refractive index is extracted for empty spherical and truncated-cone (frustum) voids in a high-index slab. Metasurfaces with isolated Mie void resonances yield only modest effective OKE enhancement, up to a factor of ten relative to bulk GaP. Mie void resonances in GaP metasurfaces are observable when the separation between voids exceeds approximately 220 nm; otherwise, modes in the high-index material between the voids prevail. A much stronger response arises from the later modes developing in the high-index regions between closely spaced voids. While the nonlinear figure of merit of Mie-void metasurfaces is limited for applications relying solely on energy-density enhancement, the open-cavity geometry offers advantages for hybrid systems that require access to the confined field, such as quantum emitters or nonlinear materials infiltrated into the voids.
Comments5 pages; 11 figures
