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The extraordinary properties of resonant four-wave mixing of backward waves in doped negative-index materials are investigated. The feasibility of independent engineering of negative refractive index and nonlinear optical response as well…

Nonlinear nanostructured surfaces provide a paradigm shift in nonlinear optics with new ways to control and manipulate frequency conversion processes at the nanoscale, also offering novel opportunities for applications in photonics,…

Applied Physics · Physics 2019-11-07 Kirill Koshelev , Yutao Tang , Kingfai Li , Duk-Yong Choi , Guixin Li , Yuri Kivshar

Metasurfaces, and in particular those containing plasmonic-based metallic elements, constitute a particularly attractive set of materials. By means of modern nanolithographic fabrication techniques, flat, ultrathin optical elements may be…

Optics · Physics 2016-02-17 Euclides Almeida , Guy Shalem , Yehiam Prior

By combining analytical and numerical approaches, we study resonantly enhanced second-harmonic generation (SHG) by individual high-index dielectric nanoparticles made of centrosymmetric materials. Considering both bulk and surface…

Optics · Physics 2018-01-08 Daria Smirnova , Alexander I. Smirnov , Yuri S. Kivshar

The development of nanoscale nonlinear elements in photonic integrated circuits is hindered by the physical limits to the nonlinear optical response of dielectrics, which requires that the interacting waves propagate in transparent volumes…

With the help of a theoretical model and finite-difference-time-domain simulations based on the hydrodynamic-Maxwell model, we examine the effect of difference frequency generation in an array of L-shaped metal nano-particles characterized…

A purely artificial mechanism for optical nonlinearity is proposed based on a metamaterial route. The mechanism is derived from classical electromagnetic interaction in a meta-molecule consisting of a cut-wire meta-atom nested within a…

Optics · Physics 2018-03-19 Yongzheng Wen , Ji Zhou

Here, inspired by the operation of conventional semiconductor transistors, we introduce a novel class of bulk materials with nonreciprocal and non-Hermitian electromagnetic response. Our analysis shows that material nonlinearities combined…

Negative refraction has attracted much interest for its promising capability in imaging applications. Such an effect can be implemented by negative index meta-materials, however, which are usually accompanied by high loss and demanding…

Optics · Physics 2016-05-25 Jianjun Cao , Dongyi Shen , Yaming Feng , Wenjie Wan

We present a mechanism to generate unidirectional pulse-shaped propagating waves, tamed to exponential growth and dispersion, in active systems with nonreciprocal and nonlinear couplings. In particular, when all bulk modes are exponentially…

Mesoscale and Nanoscale Physics · Physics 2026-05-25 Sayan Jana , Bertin Many Manda , Vassos Achilleos , Dimitrios J. Frantzeskakis , Lea Sirota

Despite fundamentally challenging in integrated (nano)photonics, achieving chip-based light nonreciprocity becomes increasingly urgent in signal processing and optical communications. Because of material incompatibilities in conventional…

Optics · Physics 2025-01-23 Shiyue Hua , Jianming Wen , Xiaoshun Jiang , Qian Hua , Liang Jiang , Min Xiao

Magneto-optic behaviour is a specific, non-reciprocal example of gyrotropic behaviour. When coupled to photo-induced Faraday rotation it is possible to discriminate this effect from the background of other nonlinear effects Non-reciprocal…

Soft Condensed Matter · Physics 2007-05-23 Allan D. Boardman , Larry Velasco , Peter Egan

Current-induced spin generations are of significant importance for electrically controllable magnetization. Due to symmetry constraints, linear spin generation is absent in centrosymmetric magnets and nonlinear contributions become crucial.…

Mesoscale and Nanoscale Physics · Physics 2025-06-26 Jie Zhang , Ruijing Fang , Zhichao Zhou , Xiao Li

Van der Waals interactions are ubiquitous and they play an important role for the stability of materials. Current understanding of this type of coupling is based on linear response theory, while optical nonlinearities are rarely considered…

Materials Science · Physics 2024-08-27 Dai-Nam Le , Pablo Rodriguez-Lopez , Lilia M. Woods

This article reviews recent progress in quasi-phasematched $\chi^{(2)}$ nonlinear nanophotonics, with a particular focus on dispersion-engineered nonlinear interactions. Throughout this article, we establish design rules for the bandwidth…

Optics · Physics 2021-06-08 Marc Jankowski , Jatadhari Mishra , M. M. Fejer

We present a theory which explains how to achieve an enhancement of nonlinear effects in a thin layer of nonlinear medium by involving a planar periodic structure specially designed to bear a trapped-mode resonant regime. In particular, the…

Optics · Physics 2015-12-18 V. Khardikov , P. Mladyonov , S. Prosvirnin , V. Tuz

We theoretically prove that electromagnetic beams propagating through a nonlinear cubic metamaterial can exhibit a power flow whose direction reverses its sign along the transverse profile. This effect is peculiar of the hitherto unexplored…

Optics · Physics 2017-08-23 A. Ciattoni , C. Rizza , E. Palange

Excitons in a semiconductor monolayer form a collective resonance that can reflect resonant light with extraordinarily high efficiency. Here, we investigate the nonlinear optical properties of such atomistically thin mirrors and show that…

Mesoscale and Nanoscale Physics · Physics 2022-03-02 Valentin Walther , Lida Zhang , Susanne F. Yelin , Thomas Pohl

We present a comprehensive overview of different types of parametric interactions in nonlinear optics which are associated with simultaneous phase-matching of several optical processes in quadratic nonlinear media, the so-called multistep…

Pattern Formation and Solitons · Physics 2018-04-13 Solomon M. Saltiel , Andrey A. Sukhorukov , Yuri S. Kivshar

We develop a quantitative mathematical theory that offers new perspectives on nonlinear harmonic generation in plasmonic structures arising from symmetry breaking. Focusing on second harmonic generation--the most fundamental process and the…

Analysis of PDEs · Mathematics 2026-05-04 Hongyu Liu , Zhi-Qiang Miao , Jingfeng Yao , Chengxun Yuan , Guang-Hui Zheng