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An effort was conducted to numerically determine, using the Nonlinear Schrodinger Split-Step Fourier method, if using cross phase modulation could cause temporal soliton pulse propagation in a silicon slow-light photonic crystal waveguide…

Optics · Physics 2016-04-27 Matthew Marko , Xiujian Li , Jiangjun Zheng

An exact solitary wave solution is presented for the nonlinear Schrodinger equation governing the propagation of pulses in optical fibers including the effects of second, third and fourth order dispersion. The stability of this soliton-like…

Pattern Formation and Solitons · Physics 2018-12-12 Vladimir I. Kruglov , John D. Harvey

The propagation of optical pulses in two types of fibers with randomly varying dispersion is investigated. The first type refers to a uniform fiber dispersion superimposed by random modulations with a zero mean. The second type is the…

Pattern Formation and Solitons · Physics 2009-11-10 F. Kh. Abdullaev , D. V. Navotny , B. B. Baizakov

An effort was conducted to study temporal soliton pulse propagation in silicon nano-waveguides. These nonlinear phenomenas were studied both numerically and experimentally with phase-resolved Frequency Resolved Optical Gating. Soliton pulse…

Optics · Physics 2015-06-12 Matthew Marko , Xiujian Li , Jiangjun Zheng , Jiali Liao , Chad Husko

We consider the ultrashort light pulse propagation through an inhomogeneous monomodal optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a generalized nonlinear Schr\"{o}dinger equation with varying…

Pattern Formation and Solitons · Physics 2020-05-06 Houria Triki , Vladimir I. Kruglov

In the recent years we have shown that cylindrical biological membranes such as nerve axons under physiological conditions are able to support stable electromechanical pulses called solitons. These pulses share many similarities with the…

Biological Physics · Physics 2015-06-04 Lars D. Mosgaard , Andrew D. Jackson , Thomas Heimburg

We investigate the existence and propagation properties of all possible types of envelope soliton pulses in a birefringent optical fiber wherein the light propagation is governed by two coupled nonlinear Schrodinger equations with coherent…

Pattern Formation and Solitons · Physics 2024-01-31 Houria Triki , Vladimir I. Kruglov

We introduce a new coupled mode theory to model nonlinear Schr\"odinger equations for contra- propagating Bloch modes that include disorder-induced multiple scattering effects on nonlinear soliton propagation in photonic crystal waveguides.…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Nishan Mann , Stephen Hughes

We investigate the group velocity distribution of waveguide modes in the presence of disorder. The results are based on extensive numerical simulations of disordered optical waveguides using statistical methods. We observe that the…

Optics · Physics 2019-10-25 Arash Mafi

We derive model equations for optical pulse propagation in a medium described by a two-level Hamiltonian, without the use of the slowly varying envelope approximation. Assuming that the resonance frequency of the two-level atoms is either…

Pattern Formation and Solitons · Physics 2007-05-23 Herve Leblond , Francois Sanchez

We study an intense-short pulse propagation in a saturable cubic-quintic nonlinear media in the presence of nonlinear dispersion within the framework of an extended variational approach. We derive an effective equation for the pulse width…

Atomic Physics · Physics 2021-10-14 Sudipta Das , Kajal Krishna Dey , Golam Ali Sekh

The dynamics of short intense electromagnetic pulses propagating in a relativistic pair plasma with small temperature asymmetry is of current interest. Such pulses were shown to be governed by a nonlinear Schrodinger equation with a new…

Analysis of PDEs · Mathematics 2026-02-10 Luciano Medina

A model of a long optical communication line consisting of alternating segments with anomalous and normal dispersion, whose lengths are picked up randomly from a certain interval, is considered. At the first stage of the analysis, we…

Pattern Formation and Solitons · Physics 2007-05-23 Anders Berntson , Boris A. Malomed

Using long-range surface plasmon polaritons light can propagate in metal nano-scale waveguides for ultracompact opto-electronic devices. Gold is an important material for plasmonic waveguides, but although its linear optical properties are…

Optics · Physics 2017-09-13 Morten Bache , Andrei Lavrinenko

We report results for solitons in models of waveguides with focusing or defocusing saturable nonlinearity and a parity-time(PT )-symmetric complex-valued external potential of the Scarf-II type. The model applies to the nonlinear wave…

Optics · Physics 2018-04-11 Pengfei Li , Dumitru Mihalache , Boris A. Malomed

The nonlinear propagation of light pulses in liquid-filled photonic crystal fibers is considered. Due to the slow reorientational nonlinearity of some molecular liquids, the nonlinear modes propagating inside such structures can be…

Our analysis suggests strongly that stationary pulses exist in nonlinear media with second-, third-, and fourth-order dispersion. A theory, based on the variational approach, is developed for finding approximate parameters of such solitons.…

Pattern Formation and Solitons · Physics 2024-05-29 Eduard N. Tsoy , Laziz A. Suyunov

Higher-order solitons inherently possess a spatial periodicity along the propagation axis. The pulse expands and compresses in both, frequency and time domain. This property is exploited for a bandwidth-limited receiver by sampling the…

Signal Processing · Electrical Eng. & Systems 2023-04-13 Sebastian Jung , Tim Uhlemann , Alexander Span , Maximilian Bauhofer , Stephan ten Brink

The nonlinear pulse propagation in an optical fibers with varying parameters is investigated. The capture of moving in the frequency domain femtosecond colored soliton by a dispersive trap formed in an amplifying fiber makes it possible to…

Optics · Physics 2015-06-26 Vladimir N. Serkin , Akira Hasegawa

In the present paper, a unique semiconductor doped glass photonic crystal fiber has been designed which is suitable for soliton propagation at sub pico-Joule energy. The fiber promises to yield low and uniform anomalous dispersion profile…

Optics · Physics 2018-12-12 Mohit Sharma , D. Vigneswaran , Julia S. Skibina , Vinoth Kumar , S. Konar
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