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We study a cylindrical plasmonic waveguide consisting of a magnetic Weyl semimetal embedded in a dielectric medium. We determine the dispersion relation of the surface plasmon polaritons and show how it depends on the plasma frequency, the…

Mesoscale and Nanoscale Physics · Physics 2025-05-29 Marco Peluso , Alessandro De Martino , Reinhold Egger , Francesco Buccheri

The spectrum of electromagnetic waves in periodic linear structures, such as periodic waveguides or chains of microelements i.e. spheres, cavities, exhibit the sequence of stop bands for propagating waves. Breaking the translational…

Classical Physics · Physics 2023-04-18 L. Ivzhenko , A. Girich , M. Baranowski , A. Kharchenko , S. Mieszczak , S. Polevoy , S. Tarapov , M. Krawczyk , J. Klos

We suggest a novel approach for generating second-harmonic radiation in subwavelength graphene waveguides. We demonstrate that quadratic phase matching between the plasmonic guided modes of different symmetries can be achieved in a planar…

Optics · Physics 2014-10-28 Daria Smirnova , Yuri S. Kivshar

We address symmetry breaking bifurcations (SBBs) in the ground-state (GS) and dipole-mode (DM) solitons of the 1D linearly coupled NLS equations, modeling the propagation of light in a dual-core planar waveguide with the Kerr nonlinearity…

Pattern Formation and Solitons · Physics 2024-09-04 Jin Song , Boris A. Malomed , Zhenya Yan

Plasmonic waveguides are an essential element of nanoscale coherent sources, including nanolasers and four-wave mixing (FWM) devices. Here we report how the design of the plasmonic waveguide needs to be guided by the ultimate application.…

Optics · Physics 2019-06-21 Guangyuan Li , Stefano Palomba , C. Martijn de Sterke

Asymmetric mode transformation in waveguide is of great significance for on-chip integrated devices with one-way effect, while it is challenging to achieve asymmetric nonlinear-mode-conversion (NMC) due to the limitations imposed by…

Optics · Physics 2022-06-10 Changdong Chen , Youwen Liu , Lina Zhao , Xiaopeng Hu , Yangyang Fu

We predict theoretically that stable subwavelength plasmonic lattice solitons (PLSs) are formed in arrays of metallic nanowires embedded in a nonlinear medium. The tight confinement of the guiding modes of the metallic nanowires, combined…

Optics · Physics 2015-05-18 Fangwei Ye , Dumitru Mihalache , Bambi Hu , Nicolae C Panoiu

We demonstrate the suppression of crosstalk between two dielectric nanowaveguides by placing an auxiliary linear waveguide between loaded waveguides spaced by one wavelength. The total cross-sectional dimension of the system containing two…

The fundamental guided dispersion characteristics of guided light in a subwavelength dielectric slit channel embedded by two different plasmonic metals are investigated when varying the gap width. As a result, an overall and salient picture…

Optics · Physics 2009-04-16 Ki Young Kim

In the present work, we examine "binary" waveguide arrays, where the coupling between adjacent sites alternates between two distinct values $C_1$ and $C_2$ and a saturable nonlinearity is present on each site. Motivated by experimental…

Pattern Formation and Solitons · Physics 2015-05-22 Andrey Kanshu , Christian E. Rüter , Detlef Kip , Jesús Cuevas , Panayotis G. Kevrekidis

Linear Maxwell equations for transverse magnetic (TM) polarized fields support single frequency surface plasmon polaritons (SPPs) localized at the interface of a metal and a dielectric. Metals are typically dispersive, i.e. the dielectric…

Analysis of PDEs · Mathematics 2024-03-11 Tomáš Dohnal , Runan He

This work establishes a rigorous mathematical framework for the analysis of nonlinear dielectric resonances in wave scattering by high-index resonators with Kerr-type nonlinearities. We consider both two- and three-dimensional settings and…

Analysis of PDEs · Mathematics 2025-08-19 Habib Ammari , Bowen Li

We study the light transmission in two-dimensional photonic crystal waveguides with embedded nonlinear defects. First, we derive the effective discrete equations with long-range interaction for describing the waveguide modes, and…

Disordered Systems and Neural Networks · Physics 2009-11-07 Sergei F. Mingaleev , Yuri S. Kivshar

We investigate through analytic calculations the surface plasmon dispersion relation for monolayer graphene sheets and a separated parallel pair of graphene monolayers. An approximate form for the dispersion relation for the monolayer case…

Mesoscale and Nanoscale Physics · Physics 2012-03-21 Choon How Gan , Hong Son Chu , Er Ping Li

We show that nonreciprocal optical Bloch-like oscillations can emerge in transversely magnetized waveguide arrays in the presence of an effective index step between the waveguides. Normal modes of the system are shown to acquire different…

Optics · Physics 2015-05-19 Miguel Levy , Pradeep Kumar

We study the existence and stability of solitons in the quadratic nonlinear media with spatially localized ${\cal PT}$-symmetric modulation of the linear refractive index. Families of stable one and two hump solitons are found. The…

Pattern Formation and Solitons · Physics 2013-08-23 F. C. Moreira , F. Kh. Abdullaev , V. V. Konotop , A. V. Yulin

We investigate spontaneous symmetry- and antisymmetry-breaking bifurcations of solitons in a nonlinear dual-core waveguide with the pure-quartic dispersion and Kerr nonlinearity. Symmetric, antisymmetric, and asymmetric pure-quartic…

Pattern Formation and Solitons · Physics 2024-09-24 Pengfei Li , Liangliang Dong , Dumitru Mihalache , Boris A. Malomed

We present eight types of spatial optical solitons which are possible in a model of a planar waveguide that includes a dual-channel trapping structure and competing (cubic-quintic) nonlinearity. Among the families of trapped beams are…

Pattern Formation and Solitons · Physics 2009-11-13 Ze'ev Birnbaum , Boris A. Malomed

Plasmonic distributed-feedback lasers based on a two-dimensional periodic array of metallic nanostructures are the main candidate for nanoscale sources of coherent electromagnetic field. Strong localization of the electromagnetic field and…

We analyse different types of nonlinear resonances in a weakly damped Duffing oscillator using bifurcation theory techniques. In addition to (i) odd subharmonic resonances found on the primary branch of symmetric periodic solutions with the…

Dynamical Systems · Mathematics 2016-05-11 Arianna Marchionne , Peter Ditlevsen , Sebastian Wieczorek