Quasinormal-Mode Non-Hermitian Modeling and Design in Nonlinear Nano-Optics,ACS Photonics

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Quasinormal-Mode Non-Hermitian Modeling and Design in Nonlinear Nano-Optics
ACS Photonics ( IF 6.5 ) Pub Date : 2020-04-03 , DOI: 10.1021/acsphotonics.0c00014
Carlo Gigli ₁ , Tong Wu ₂ , Giuseppe Marino ₁ , Adrien Borne ₁ , Giuseppe Leo ₁ , Philippe Lalanne ₂

Affiliation

A novel theoretical non-Hermitian formalism for analyzing nonlinear nano-optics is proposed. Its main strength lies in the unique way it analytically incorporates the quasinormal modes of the nanostructures, which have to be resonantly excited to achieve significant nonlinear efficiency. Owing to the analyticity, the formalism is computationally more effective than the usual multipolar Mie-scattering expansions for nonlinear nano-optics. It is also more general and applies to nanostructures laying on substrates or embedded in thin films. It additionally provides guidelines for the multiparameter design and optimization of nonlinear photonic nanostructures. In particular, it reveals an important phase-matching condition at the subwavelength scale between the linear and nonlinear harmonics, which was not clarified in earlier theoretical works based on Hermitian theory for waveguides and high-Q cavities. Its closed form is a major asset that enables us to propose a systematic approach to design phased-matched nanostructures offering drastic second harmonic generation enhancements with engineered χ⁽²⁾ and pump beams.

中文翻译：

非线性纳米光学准准模非Hermitian建模与设计

提出了一种用于分析非线性纳米光学的新型理论非Hermitian形式主义。它的主要优势在于它以独特的方式分析性地结合了纳米结构的准法则模式，必须共振激发才能实现显着的非线性效率。由于具有分析性，对于非线性纳米光学，形式上的计算比常规的多极Mie散射展开更有效。它也更通用，适用于放置在基板上或嵌入薄膜中的纳米结构。它还为非线性光子纳米结构的多参数设计和优化提供了指南。特别是，它揭示了线性和非线性谐波之间亚波长范围内的重要相位匹配条件，Q型腔。它的封闭形式是一项主要资产，使我们能够提出一种系统的方法来设计相匹配的纳米结构，从而利用工程χ ^（2）和泵浦光束显着增强二次谐波的产生。

更新日期：2020-04-03

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