三维非线性亚波长共振
Nonlinear subwavelength resonances in three dimensions
AI总结：
本文针对亚波长区域三次非线性亥姆霍兹方程的共振问题，推导了适用于弱、强非线性区域的离散模型，可近似高对比度克尔型非线性谐振器系统的亚波长共振，还能刻画线性公式未涵盖的、已被实验观测的非线性诱导额外本征模。
摘要：
本文研究亚波长区域下三次非线性亥姆霍兹方程的共振问题。我们推导了一个离散模型，用于近似具有克尔型非线性的高对比度谐振器有限系统的亚波长共振。该离散公式在弱非线性和强非线性区域均有效。与线性公式相比，它刻画了非线性诱导的额外本征模，这些模最近已被实验观测到。
英文摘要：
In this paper, we consider the resonance problem for the cubic nonlinear Helmholtz equation in the subwavelength regime. We derive a discrete model for approximating the subwavelength resonances of finite systems of high-contrast resonators with Kerr-type nonlinearities. Our discrete formulation is valid in both weak and strong nonlinear regimes. Compared to the linear formulation, it characterizes the extra eigenmodes induced by the non-linearlity that have recently been experimentally observed.
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