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We investigate numerically the effect of long-range interaction on the transverse localization of light. To this end, nonlinear zigzag optical waveguide lattices are applied, which allows precise tuning of the second-order coupling. We find…

Optics · Physics 2013-09-13 M. Golshani , A. R. Bahrampour , A. Langari , A. Szameit

Spontaneous symmetry breaking and formation of self-organized structures in nonlinear systems are intriguing and important phenomena in nature. Advancing such research to new nonlinear optical regimes is of much interest for both…

Optics · Physics 2020-08-19 Zeyun Shi , Weibin Li , Guoxiang Huang

The evolution of thermomagnetic perturbations in the resistive state of superconductors is considered. A qualitative pattern of the formation and further development of nonlinear stationary structures that describe the final stage of…

Superconductivity · Physics 2007-05-23 Nizam A. Taylanov

Fundamental solitons pinned to the interface between three semi-infinite one-dimensional nonlinear dynamical chains, coupled at a single site, are investigated. The light propagation in the respective system with the self-attractive on-site…

Pattern Formation and Solitons · Physics 2015-05-28 M. Stojanovic , A. Maluckov , Lj. Hadzievski , B. A. Malomed

A traditional view on solitons in optical fibers as robust particle-like structures suited for informa- tion transmission has been significantly altered and broadened over the past decade, when solitons have been found to play the major…

Optics · Physics 2015-03-17 D. V. Skryabin , A. V. Gorbach

In uniaxial soft matter with a reorientational nonlinearity, such as nematic liquid crystals, a light beam in the extraordinary polarization walks off its wavevector due to birefringence, while it undergoes self-focusing via an increase in…

Plasmonic metasurfaces are promising as enablers of nanoscale nonlinear optics and flat nonlinear optical components. Nonlinear optical responses of such metasurfaces are determined by the nonlinear optical properties of individual…

We present a novel general framework to deal with forward and backward components of the electromagnetic field in axially-invariant nonlinear optical systems, which include those having any type of linear or nonlinear transverse…

This review article provides a concise summary of one- and two-dimensional models for the propagation of linear and nonlinear waves in fractional media. The basic models, which originate from fractional quantum mechanics and more…

Pattern Formation and Solitons · Physics 2024-01-10 Boris A. Malomed

This paper investigates the shape reconstructions of sub-wavelength objects from near-field measurements in transverse electromagnetic scattering. This geometric inverse problem is notoriously ill-posed and challenging. We develop a novel…

Mathematical Physics · Physics 2023-05-03 M. H. Ding , H. Y. Liu , G. H. Zheng

This paper reviews the field of extreme nonlinear optics in optical fibers, highlighting key phenomena and advancements. It discusses multiple ionization effects caused by femtosecond laser pulses that generate plasma and induce permanent…

Following our recent theoretical development of the concept of nano-inductors, nano-capacitors and nano-resistors at optical frequencies and the possibility of synthesizing more complex nano-scale circuits, here we theoretically investigate…

Optics · Physics 2009-11-11 Andrea Alu , Nader Engheta

Nonlinear spectroscopy employs a series of laser pulses to interrogate dynamics in large interacting many-body systems, and has become a highly successful method for experiments in chemical physics. Current quantum optical experiments…

Quantum Physics · Physics 2016-10-19 Frank Schlawin , Manuel Gessner , Shaul Mukamel , Andreas Buchleitner

Dissipative solitons are localized solutions in non-integrable and non-conservative nonlinear system, due to a balance of nonlinearity, dispersion, filtering, and loss/gain. Different from conventional soliton, they exhibit extremely…

While fundamental-mode discrete solitons have been demonstrated with both self-focusing and defocusing nonlinearity, high-order-mode localized states in waveguide lattices have been studied thus far only for the self-focusing case. In this…

Pattern Formation and Solitons · Physics 2009-11-11 P. G. Kevrekidis , H. Susanto , Z. Chen

The advent of dispersion-engineered and highly nonlinear nanophotonics is expected to open up an all-optical path towards the strong-interaction regime of quantum optics by combining high transverse field confinement with ultra-short-pulse…

Quantum Physics · Physics 2021-03-09 Ryotatsu Yanagimoto , Edwin Ng , Tatsuhiro Onodera , Hideo Mabuchi

We report on the experimental observation of weak localization in an optically induced disordered (2+1)-dimensional photonic structure. Our flexible method of optical induction is applied with a nondiffracting random intensity distribution.…

We explore a nonlocal connection between certain linear and nonlinear ordinary differential equations (ODEs), representing physically important oscillator systems, and identify a class of integrable nonlinear ODEs of any order. We also…

Exactly Solvable and Integrable Systems · Physics 2009-11-11 V. K. Chandrasekar , M. Senthilvelan , Anjan Kundu , M. Lakshmanan

In order to investigate the size limit on spatial localized structures in a nonlinear system, we explore the impact of linear nonlocality on their domains of existence and stability. Our system of choice is an optical microresonator…

Pattern Formation and Solitons · Physics 2010-02-04 L. Gelens , G. Van der Sande , P. Tassin , M. Tlidi , P. Kockaert , D. Gomila , I. Veretennicoff , J. Danckaert

A model of a phase-separating two-component Langmuir monolayer in the presence of a photo-induced reaction interconvering two components is formulated. An interplay between phase separation, orientational ordering and treaction is found to…

Pattern Formation and Solitons · Physics 2009-11-10 Ramon Reigada , Alexander S. Mikhailov , Francesc Sagues