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Two distinct models are developed to investigate the transverse magnetic stationary solutions propagating in one-dimensional anisotropic nonlinear plasmonic structures made from a nonlinear metamaterial core of Kerr-type embedded between…

Optics · Physics 2018-01-15 Mahmoud M. R. Elsawy , Gilles Renversez

We describe the results of the two methods we developed to calculate the stationary nonlinear solutions in one-dimensional plasmonic slot waveguides made of a finite-thickness nonlinear dielectric core surrounded by metal regions. These two…

Optics · Physics 2016-01-20 Wiktor Walasik , Gilles Renversez , Fangwei Ye

We present two complementary models to study stationary nonlinear solutions in one-dimensional plasmonic slot waveguides made of a finite-thickness nonlinear dielectric core surrounded by metal regions. The considered nonlinearity is of…

Optics · Physics 2016-01-20 Wiktor Walasik , Gilles Renversez

We present a full study of an improved nonlinear plasmonic slot waveguides (NPSWs) in which buffer linear dielectric layers are added between the Kerr type nonlinear dielectric core and the two semi-infinite metal regions. For TM polarized…

We study the nonlinear waves propagating in metal slot waveguides with a Kerr-type dielectric core. We develop two independent semi-analytical models to describe the properties of such waveguides. Using those models we compute the…

Optics · Physics 2014-05-12 Wiktor Walasik , Alejandro Rodriguez , Gilles Renversez

We study nonlinear modes of dual-core photonic crystal fiber couplers made of a material with the focusing Kerr nonlinearity. We find numerically the profiles of symmetric, antisymmetric, and asymmetric nonlinear modes, and analyze…

Pattern Formation and Solitons · Physics 2009-11-11 Jose R. Salgueiro , Yuri S. Kivshar

We use our vector Maxwell's nonlinear eigenmode solver to study the stationary solutions in 2D cross-section waveguides with Kerr nonlinear cores. This solver is based on the fixed power algorithm within the finite element method. First,…

Optics · Physics 2018-01-12 Mahmoud M. R. Elsawy , Gilles Renversez

Engineering plasmonic metamaterials with anisotropic optical dispersion enables us to tailor the properties of metamaterial-based waveguides. We investigate plasmonic waveguides with dielectric cores and multilayer metal-dielectric…

Nonlinear guided wave modes in an asymmetric slab waveguide formed by an isotropic dielectric layer placed on a linear or nonlinear substrate and covered by a hyperbolic material are investigated. Optical axis is normal to the slab plane.…

Optics · Physics 2016-11-23 Ekaterina I. Lyashko , Andrey I. Maimistov

We report analytical solutions for spatial solitons supported by layers of a quadratically nonlinear material embedded into a linear planar waveguide. A full set of symmetric, asymmetric, and antisymmetric modes pinned to a symmetric pair…

Optics · Physics 2016-04-27 Asia Shapira , Noa Voloch-Bloch , Boris A. Malomed , Ady Arie

Guided wave modes in a symmetric slab waveguide formed by an isotropic dielectric layer with cubic nonlinear response placed in the hyperbolic surrounding medium are investigated theoretically. Optical axis of the hyperbolic medium is…

Optics · Physics 2017-03-01 Ekaterina I. Lyashko , Andrei I. Maimistov

We study nonlinear modes in subwavelength slot waveguides created by a nonlinear dielectric slab sandwiched between two metals. We present the dispersion diagrams of the families of nonlinear plasmonic modes and reveal that the symmetric…

Optics · Physics 2009-05-29 A. R. Davoyan , I. V. Shadrivov , Yu. S. Kivshar

We analyze nonlinear guided waves in a planar waveguide made of a left-handed material surrounded by a Kerr-like nonlinear dielectric. We predict that such a waveguide can support fast and slow symmetric and antisymmetric nonlinear modes.…

Optics · Physics 2007-05-23 Ilya V. Shadrivov

Confined modes at the edge arbitrarily inclined with respect to optical axes of nonmagnetic anisotropic 2D materials are considered. By developing the exact Wiener-Hopf and approximated Fetter methods we studied edge modes dispersions,…

Mesoscale and Nanoscale Physics · Physics 2021-04-05 A. A. Sokolik , O. V. Kotov , Yu. E. Lozovik

We present a detailed study of oscillating modes in a slab waveguide with air core and anisotropic metamaterial cladding. It is shown that, under specific dielectric configurations, slow and even stopped electromagnetic wave can be…

Optics · Physics 2009-01-08 Tian Jiang , Junming Zhao , Yijun Feng

We study existence, stability, and dynamics of linear and nonlinear stationary modes propagating in radially symmetric multi-core waveguides with balanced gain and loss. We demonstrate that, in general, the system can be reduced to an…

We analyze planar electromagnetic waves confined by a slab waveguide formed by two perfect electrical conductors. Remarkably, 2D Maxwell equations describing transverse electromagnetic modes in such waveguides are exactly mapped onto…

Classical Physics · Physics 2020-07-22 Daniel Leykam , Konstantin Y. Bliokh , Franco Nori

In this article, a 2D plasmonic waveguide loaded with all dielectric anisotropic metamaterial, consisting of alternative layers of Si-SiO2, has been theoretically proposed and numerically analyzed. Main characteristics of waveguide i.e.…

Optics · Physics 2016-12-30 Abid Anjum Sifat , Ayed Al Sayem , M Mahmudul Hasan Sajeeb

We derive an asymptotic equation for quasi-static, nonlinear surface plasmons propagating on a planar interface between isotropic media. The plasmons are nondispersive with a constant linearized frequency that is independent of their…

Analysis of PDEs · Mathematics 2015-10-29 Ryan G. Halabi , John K. Hunter

We develop an approach to utilize anisotropic metamaterials to solve one of the fundamental problems of modern plasmonics -- parasitic scattering of surface waves into free-space modes, opening the road to truly two-dimensional plasmonic…

Optics · Physics 2008-02-11 Justin Elser , Viktor A. Podolskiy
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