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We demonstrate the existence of dynamically stable multihump solitary waves in polaron-type models describing interaction of envelope and lattice excitations. In comparison with the earlier theory of multihump optical solitons [see Phys.…

Pattern Formation and Solitons · Physics 2009-10-31 Elena A. Ostrovskaya , Serge F. Mingaleev , Yuri S. Kivshar , Yuri B. Gaididei , Peter L. Christiansen

We theoretically study the properties of one-dimensional nonlinear saturable photonic lattices exhibiting multiple mobility windows for stationary solutions. The effective energy barrier decreases to a minimum in those power regions where a…

Pattern Formation and Solitons · Physics 2011-04-19 Uta Naether , Rodrigo A. Vicencio , Milutin Stepić

In a recent one-dimensional numerical fluid simulation study [Saxena et al., Phys. Plasmas 13,032309 (2006)], it was found that an instability is associated with a special class of one-dimensional nonlinear solutions for modulated light…

Plasma Physics · Physics 2008-09-12 Vikrant Saxena , Amita Das , Sudip Sengupta , Predhiman Kaw , Abhijit Sen

Nonlinear dynamics of establishment of electron-hole coherent superpositions states in graphene by multiphoton resonant excitation of interband transitions in laser fields is considered. The single-particle time dependent density matrix for…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 H. K. Avetissian , A. K. Avetissian , G. F. Mkrtchian , Kh. V. Sedrakian

In this work, a new structure is suggested for spasing. The presented spaser is made up of a graphene nanosphere, which supports localized surface plasmon modes, and a quantum dot array, acting as a gain medium. The gain medium is pumped by…

Optics · Physics 2017-12-06 Sadreddin Behjati Ardakani , Rahim Faez

Graphene is a two-dimensional material with strongly nonlinear electrodynamics and optical properties. We present some of our recent theoretical results on the quantum and non-perturbative quasi-classical theories of nonlinear effects in…

Mesoscale and Nanoscale Physics · Physics 2018-10-02 S. A. Mikhailov , N. A. Savostianova

In contrast to semiconductor structures, the experimentally observed plasma resonances in graphene show an asymmetrical and rather broad linewidth. We show that this can be explained by the linear electron energy dispersion in this material…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 S. A. Mikhailov , D. Beba

We report that defocusing cubic media with spatially inhomogeneous nonlinearity, whose strength increases rapidly enough toward the periphery, can support stable bright localized modes. Such nonlinearity landscapes give rise to a variety of…

Non-reciprocal plasmons in current-driven, isotropic, and homogenous graphene with proximal metallic gates is theoretically explored. Nearby metallic gates screen the Coulomb interactions, leading to linearly dispersive acoustic plasmons…

Mesoscale and Nanoscale Physics · Physics 2021-11-10 Michael Sammon , Dionisios Margetis , E. J. Mele , Tony Low

We analyze nonlinear collective effects in periodic systems with multi-gap transmission spectra such as light in waveguide arrays or Bose-Einstein condensates in optical lattices. We demonstrate that the inter-band interactions in nonlinear…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov , Yuri S. Kivshar

Graphene plasmonics has become a highlighted research area due to the outstanding properties of deep-subwavelength plasmon excitation, long relaxation time, and electro-optical tunability. Although the giant conductivity of a graphene layer…

Optics · Physics 2024-04-11 Yunjung Kim , Sunkyu Yu , Namkyoo Park

We point out that plasmons in doped graphene simultaneously enable low-losses and significant wave localization for frequencies below that of the optical phonon branch $\hbar\omega_{Oph}\approx 0.2$ eV. Large plasmon losses occur in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Marinko Jablan , Hrvoje Buljan , Marin Soljačić

We describe experiments testing the existence and investigating the properties of spatial solitons in nonlinear resonators. We investigate the properties of stationary and moving spatial solitons in lasers with saturable absorber, with a…

Pattern Formation and Solitons · Physics 2007-05-23 C. O. Weiss , G. Slekys , V. B. Taranenko , K. Staliunas , R. Kuszelewicz

Over the past twenty years, the field of plasmonics has been revolutionized with the isolation and utilization of two--dimensional materials, particularly graphene. Consequently there is significant interest in rapid, robust, and highly…

Numerical Analysis · Mathematics 2024-10-10 David Nicholls , Tianyu Zhu

In this paper we propose and discuss coherent terahertz sources based on charge density wave (plasmon) amplification in two dimensional graphene. The coupling of the plasmons to interband electron-hole transitions in population inverted…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Farhan Rana

Matter in nontrivial topological phase possesses unique properties, such as support of unidirectional edge modes on its interface. It is the existence of such modes which is responsible for the wonderful properties of a topological…

Mesoscale and Nanoscale Physics · Physics 2018-09-06 Dmitry R. Gulevich , Dmitry Yudin , Dmitry V. Skryabin , Ivan V. Iorsh , Ivan A. Shelykh

In the present paper an introduction to the new subject of nonlinear dispersive hamiltonian equations on graphs is given. The focus is on recently established properties of solutions in the case of nonlinear Schr\"odinger equation. Special…

Mathematical Physics · Physics 2014-03-05 Diego Noja

Two-dimensional (2D) equations describing the nonlinear interaction between upper-hybrid and dispersive magnetosonic waves are presented. Nonlocal nonlinearity in the equations results in the possibility of existence of stable 2D nonlinear…

Plasma Physics · Physics 2009-11-13 V. M. Lashkin

We study analytically and numerically envelope solitons (bright and gap solitons) in a one-dimensional, nonlinear acoustic metamaterial, composed of an air-filled waveguide periodically loaded by clamped elastic plates. Based on the…

The properties of surface plasmons localized at the interface between graphene and kerr-type nonlinear medium in three dimensions are investigated. Compared with surface plasmons at the surface of metal, with the inevitable nonlinear…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Lei Wang , Wei Cai , Xinzheng Zhang , F. J. Garcia de Abajo , Jingjun Xu