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In this paper, the 2D band structure of a mixed-mode metamaterial resonator array for in-plane waves is investigated. The band structure in the interior and on the boundary of the irreducible Brillouin zone as well as 1D dispersion diagrams…

Applied Physics · Physics 2019-01-30 Alireza V. Amirkhizi , Weidi Wang

Second-harmonic generation in resonant structures is commonly evaluated in terms of intracavity field enhancement at the fundamental and harmonic frequencies. Here, we formulate nonlinear frequency conversion within a symmetry-resolved…

This paper concerns the scattering problem for a nonlinear medium of compact support, $D$, with second-harmonic generation. Such a medium, when probed with monochromatic light beams at frequency $\omega$, generates additional waves at…

Analysis of PDEs · Mathematics 2024-01-03 Fioralba Cakoni , Narek Hovsepyan , Matti Lassas , Michael S. Vogelius

We investigate the potential for controlling the effect of nonlinear Stochastic Resonance (SR) by use of harmonic mixing signals for an overdamped Brownian dynamics in a symmetric double well potential. The periodic forcing for harmonic…

Statistical Mechanics · Physics 2007-05-23 Gerhard Schmid , Peter Hanggi

Doubly enhanced third harmonic generation (THG) is realized by the electric dipole resonance (EDR) in silicon nanodisks placed onto a metallic film at near-infrared. By introducing the metal substrate, the perfect electric conductor (PEC)…

Optics · Physics 2019-12-30 Jin Yao , Na Liu , Guoxiong Cai , Qing Huo Liu

We study a nonlinear magnetic metamaterial modeled as a split-ring resonator array, where the standard discrete laplacian is replaced by its fractional form. We find a closed-form expression for the dispersion relation as a function of the…

Pattern Formation and Solitons · Physics 2025-03-11 Mario I. Molina

We study ways to enhance the sensitivity and dynamic tuning range of the fundamental inductor-capacitor (LC) resonance in split ring resonators (SRRs) by controlling the aspect ratio of the SRRs and their substrate thickness. We conclude…

Optics · Physics 2015-05-20 Sher-Yi Chiam , Ranjan Singh , Weili Zhang , Andrew A Bettiol

Hybridisation of electronic bands of two-dimensional materials, assembled into twistronic heterostructures, enables one to tune their optoelectronic properties by selecting conditions for resonant interlayer hybridisation. Resonant…

We propose a class of metamaterials in which propagation of acoustic waves is controlled magnetically through magnetoelastic coupling. The metamaterials are formed by a periodic array of thin magnetic layers ('resonators') embedded in a…

Applied Physics · Physics 2019-11-18 O. S. Latcham , Y. I. Gusieva , A. V. Shytov , O. Y. Gorobets , V. V. Kruglyak

We present experimental demonstration of phase conjugation using nonlinear metamaterial elements. Active split-ring resonators loaded with varactor diodes are demonstrated theoretically to act as phase-conjugating or time-reversing discrete…

We theoretically demonstrate the formation of different kinds of two-dimensional split-ring arrays in both triangular and square lattices by one-step holographic interference. The slit width of the split-ring can be adjusted by proper…

Optics · Physics 2009-11-13 G. Q. Liang , W. D. Mao , H. Zou , B. C. Chen , J. F. Cao , Y. Y. Pu , X. W. Wen , H. Z. Wang

Engineered micro- or nano-structures based on nonlinear optical materials offer versatile opportunities for optoelectronic applications. While extensive efforts have been devoted to design tailored microcavities to promote and increase the…

Second-harmonic generation (SHG) is a direct measure of the strength of second-order nonlinear optical effects, which also include frequency mixing and parametric oscillations. Natural and artificial materials with broken…

Hyperbolic plasmonic metamaterials provide numerous opportunities for designing unusual linear and nonlinear optical properties. We show that the modal overlap of fundamental and second-harmonic light in an anisotropic plasmonic…

In addition to their strong nonlinear optical response, transition metal dichalcogenides (TMDCs) possess a high refractive index in the visible and infrared regime. Therefore, by patterning those TMDCs into dielectric nanoresonators, one…

Nonlinear metasurfaces provide a route to compact frequency conversion by replacing phase matching and long interaction lengths with resonantly enhanced light matter interaction in subwavelength structures. Extending this capability to…

Optics · Physics 2026-04-21 Zetian Chen , Noa Mazurski , Uriel Levy

We introduce a new mechanism for second-harmonic generation through geometrically rectifying-funneling-ballistic electrons in THz optical resonators. Our resonant rectifiers inherently act as second-order harmonic generators, rectifying…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Hue T. B. Do , Gregory K. Ngirmang , Wu Lin , Michel Bosman

High-order harmonic generation (HHG) in solids - the frequency up-conversion of an optical signal - is governed by symmetries. At terahertz (THz) frequencies, HHG is a key technology to access high frequency spectral windows that are…

Metasurfaces have long served as a cornerstone technique to enhance nonlinear processes, enabling frequency conversion, efficient light manipulation and integrated photonic devices. However, traditional bulk materials often suffer from high…

High-$Q$ optical nanocavities are fundamental to modern optics and photonics, enabling enhanced light-matter interactions. Previous studies have demonstrated that high-$Q$ supercavity modes can be constructed within a single dielectric…

Optics · Physics 2026-01-21 Xu Tu , Meibao Qin , Huifu Qiu , Feng Wu , Tingting Liu , Lujun Huang , Shuyuan Xiao