Saturation of the nonlinear refractive index for optical solitons in two-core fibers (original) (raw)
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Solitons and nonlinear dynamics in dual-core optical fibers
arXiv (Cornell University), 2017
The article provides a survey of (chiefly, theoretical) results obtained for self-trapped modes (solitons) in various models of one-dimensional optical waveguides based on a pair of parallel guiding cores, which combine the linear inter-core coupling with the intrinsic cubic (Kerr) nonlinearity, anomalous group-velocity dispersion, and, possibly, intrinsic loss and gain in each core. The survey is focused on three main topics: spontaneous breaking of the inter-core symmetry and the formation of asymmetric temporal solitons in dual-core fibers; stabilization of dissipative temporal solitons (essentially, in the model of a fiber laser) by a lossy core parallel-coupled to the main one, which carries the linear gain; and stability conditions for PT (parity-time)-symmetric solitons in the dual-core nonlinear dispersive coupler with mutually balanced linear gain and loss applied to the two cores.
Symmetric and asymmetric solitons in twin-core nonlinear optical fibers
1996
Static soliton states in twin-core nonlinear optical fibers are examined using an improved variational approximation: the soliton s width is an additional varying parameter, together with the ratio of the energies in, and the phase difference between, the two cores. For the symmetric coupler, results agree well with numerical ones; in particular, the bifurcation between symmetric and asymmetric solitons is shown to be slightly subcritical. For the asymmetric coupler, the control parameters are the difference between the cores' dispersion coefficients and the phase velocity mismatch. Soliton states in the asymmetric coupler show a strong and easily controlled bistability. The soliton exists for some energies even when one of the cores has normal dispersion.
Study of Optical Soliton of Nonlinear Optical Fibers by Nonlinear Schrodinger Equation
This paper is mainly concerned with obtaining the pure optical cubic of solitons in nonlinear optical fibers and formulating them by relying on the nonlinear Schrodinger equation (NLSE). This method is effective for extracting optical solitons. We discuss the model responsible for controlling the motion of the soliton with a third-order dispersion effect. This is done without the need for external capabilities to support the visual movement of the soliton. The cubic optical soliton of this model is obtained by relying on the nonlinearity of Kerr law of and without chromatic dispersion. Soliton wave solutions are precisely extracted and constructed using different Csch, Tanh-Coth and exponential functions as well as fiber-optic solitary wave solutions which include complex soliton mixed solutions, singular, multiple, dark and bright solutions. The terms of integration and constraints for the resulting solutions are presented and discussed and we find the solitary and periodic waves solutions of the nonlinear Schrödinger equations.
Optical solitons in birefringent fibers with spatio-temporal dispersion
Optik, 2014
This paper studies the propagation of solitons through birefringent fibers in the presence of spatiotemporal dispersion. Both Kerr and parabolic laws of nonlinearity are addressed. The exact 1-soliton solutions are obtained. There are several constraint conditions that ensure soliton solutions are derived. Three types of solitons are obtained: bright, dark and singular solitons.
Results in Physics, 2019
In this paper, the higher-order nonlinear Schrödinger equation (NLSE) represents description of the propagation of short light pulses in mono-mode optical fibers. The optical solitons and solitary wave solutions of higher-order nonlinear Schrödinger equation mono-mode optical fibers are organized by apply the modified simple equation method to get the exact solutions and possibility of given this solution graphically at a given moment. This solutions help the researchers to stusy the physical properties of this model and its applications. There are many different types of models that we find in applied science that can be solved by this effective and reliable method. This method can be effective and successful in solving and understanding many of the problems of higher-order non-linear in the various fields of research and advanced.
The Evolution and perturbation of Solitons in DispersiveNonlinear Optical Fiber
IOSR Journal of Electronics and Communication Engineering, 2014
A system of coupled nonlinear Schrodinger (NLSEs) of two fundamental and dark solitons are numerically investigated by Split-Step Fourier Method (SSFM) simulation. The stability of the evolved 'bright' envelopes as the superimposed of two dark solitons has been compared with the interaction of bright fundamental solitons in the perturbed or lossy fiber. Dynamic nature of the solitons in the the presence of nonlinear-dispersive phenomena, their relative amplitude i r relative phase i and their separation distance 0 q (0 r) are evaluated in the simulation.
The Optical Soliton Propagation in Nonlinear Dispersive Fiber
International Journal of Computing and Digital Systemss
The establishment of the optical fiber has transformed media transmission systems all over the world, empowering an extraordinary measure of data transmission, all at the speed of light. One of the most important achievements of the following optics development will be the utilization of solitons of optics in optical fibre communication. The uncommon sort of optical signals is soliton that can spread through an optical fiber accurate for long transmission distances. A quick advance for the period of the 1990s has changed over optical solitons into a reasonable contestant for current light wave system. In this paper, a short outline of the improvement of non-direct optics and optical solitons is given. The reason for this paper is to give a thought regarding the impacts of the two modulation processes which are four waves mixing FWM and cross phase modulation XPM going with the spread of the pulses at various carrier frequencies. Furthermore, we tentatively show soliton spread in the basic transmission remove for optical fiber and more complicated trend conduct in a higher transmission distance, showing that the effect of optical fiber length contracts for each mode.
Optical solitons: Mathematical model and simulations
Optical solitons travel in nonlinear dispersive optical fiber that can mathematically modeled by forced nonlinear Schrödinger Equation (fNLS). A precise numerical simulation is employed to simulate optical solitons travel based on the mathematical model equation modeled in ideal lossless fiber and fiber loss. The outcomes from simulations further clarify the effects of fiber loss during transmission of signal which distorted the balanced effects between self-phase modulation (SPM) and group velocity dispersion (GVD) in nonlinear optical fiber with fiber. Furthermore, the outcomes have met the agreement with the simulation done by engineering software.