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It is well known that a symmetric soliton in coupled nonlinear Schroedinger (NLS) equations with the cubic nonlinearity loses its stability with the increase of its energy, featuring a transition into an asymmetric soliton via a subcritical…

Pattern Formation and Solitons · Physics 2007-05-23 Lior Albuch , Boris A. Malomed

We consider an array of straight nonlinear waveguides constituting a two-dimensional square lattice, with a few central layers tilted with respect to the rest of the structure. It is shown that such configuration represents a line defect,…

We study the spatio-temporal evolution of wave packets in one-dimensional quasiperiodic lattices which localize linear waves. Nonlinearity (related to two-body interactions) has destructive effect on localization, as recently observed for…

Disordered Systems and Neural Networks · Physics 2015-02-26 Marco Larcher , Tetyana V. Laptyeva , Joshua D. Bodyfelt , Franco Dalfovo , Michele Modugno , Sergej Flach

We demonstrate that weak parametric interaction of a fundamental beam with its third harmonic field in Kerr media gives rise to a rich variety of families of non-fundamental (multi-humped) solitary waves. Making a comprehensive comparison…

Pattern Formation and Solitons · Physics 2009-10-31 Kazimir Y. Kolossovski , Alexander V. Buryak , Victoria V. Steblina , Rowland A. Sammut , Alan R. Champneys

Scattering of obliquely incident electromagnetic waves from periodically space-time modulated slabs is investigated. It is shown that such structures operate as nonreciprocal harmonic generators and spatial-frequency filters. For oblique…

Classical Physics · Physics 2018-01-03 Sajjad Taravati , Nima Chamanara , Christophe Caloz

We study tangent bifurcation of band edge plane waves in nonlinear Hamiltonian lattices. The lattice is translationally invariant. We argue for the breaking of permutational symmetry by the new bifurcated periodic orbits. The case of two…

patt-sol · Physics 2015-06-26 Sergej Flach

Studying wave propagation in nonlinear discrete systems is essential for understanding energy transfer in lattices. While linear systems prohibit wave propagation within the natural band gap, nonlinear systems exhibit {supratransmission},…

Pattern Formation and Solitons · Physics 2025-09-18 R. Kusdiantara , M. Wijaya , M. F. Adhari , H. Susanto

The concept of spectrum for a class of non-linear wave equations is studied. Instead of looking for stability, the key to the spectral structure is found in the instability phenomena (bifurcations). This aspect is best seen in the…

Quantum Physics · Physics 2016-11-14 P. Grochowski , W. Kaniowski , B. Mielnik

Spatially confined rigid membranes reorganize their morphology in response to the imposed constraints. A crumpled elastic sheet presents a complex pattern of random folds focusing the deformation energy while compressing a membrane resting…

We experimentally demonstrate synthesis and in-situ analysis of multimode plasmonic excitations in two-wire transmission lines supporting a symmetric and an antisymmetric eigenmode. To this end we irradiate an incoupling antenna with a…

Optical plasmon-polariton modes confined in both transverse dimensions to significantly less than a wavelength are exhibited in open waveguides structured as sharp metal wedges. The analysis reveals two distinctive modes corresponding to a…

Optics · Physics 2009-11-11 Eyal Feigenbaum , Meir Orenstein

The system of coupled discrete equations describing a two-component superlattice with interlaced linear and nonlinear constituents is revisited as a basis for investigating binary waveguide arrays, such as ribbed AlGaAs structures, among…

Pattern Formation and Solitons · Physics 2009-11-13 Kyriakos Hizanidis , Yannis Kominis , Nikolaos K. Efremidis

We investigate the nonclassical properties of output fields propagated through a contradirectional asymmetric nonlinear optical coupler consisting of a linear waveguide and a nonlinear (quadratic) waveguide operated by second harmonic…

Quantum Physics · Physics 2022-06-07 Kishore Thapliyal , Anirban Pathak , Biswajit Sen , Jan Perina

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 have measured the spatial and spectral dependence of the microwave field inside an open absorbing waveguide filled with randomly juxtaposed dielectric slabs in the spectral region in which the average level spacing exceeds the typical…

Disordered Systems and Neural Networks · Physics 2009-11-11 Patrick Sebbah , Bing Hu , Jerome M. Klosner , Azriel Z. Genack

The recent progress in the context of elastic metamaterials and modulated waveguides with digitally controllable properties has opened new pathways to overcome the limitations dictated by Hermitian Hamiltonians in mechanics. Among the…

Applied Physics · Physics 2022-07-13 Emanuele Riva

We conduct an extensive study of nonlinear localized modes (NLMs), which are temporally periodic and spatially localized structures, in a two-dimensional array of repelling magnets. In our experiments, we arrange a lattice in a hexagonal…

We experimentally investigate the terahertz spectrum of plasma excitations in a plasmonic crystal based on AlGaN/GaN two-dimensional electron system (2DES). While screened plasmon modes with linear dispersion are readily observed in the…

We derive formulas for Whispering Gallery Mode resonances and bending losses in infinite cylindrical dielectric shells and sets of concentric cylindrical shells. The formulas also apply to spherical shells and to sections of bent…

Optics · Physics 2016-12-07 Gregory Kozyreff , Nirmalendu Acharyya

We present a new electromagnetic mode that forms at the interface between two planar surfaces laid side by side in free space, effectively guiding energy along an infinitesimal, one-dimensional line. It is shown that this mode occurs when…

Mesoscale and Nanoscale Physics · Physics 2017-09-12 Dia'aaldin J. Bisharat , Daniel F. Sievenpiper
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