Bright Optical Solitons Research Articles

Resonant optical solitons with parabolic and dual-power laws by semi-inverse variational principle

This paper obtains bright optical soliton solutions from resonant nonlinear Schrödinger’s equation by the aid of semi-inverse variational principle. The two forms of nonlinear media studied are parabolic and dual-power law. The necessary constraints for the existence of these solitons are also presented.

Chirp-free bright optical solitons for perturbed Gerdjikov–Ivanov equation by semi-inverse variational principle

Two forms of bright soliton solutions are obtained by the aid of semi-inverse variational principle for the perturbed Gerdjikov–Ivanov equation. The integrability criteria for this model are also presented.

Optical soliton perturbation with complex Ginzburg-Landau equation by semi-inverse variational principle

This paper studies the derivation of optical soliton solution to the perturbed complex Ginzburg-Landau equation. Bright optical soliton solutions are derived to the model that is studied with Kerr and power laws of nonlinearity. The existence criteria for these solitons are also determined.

Optical soliton perturbation with parabolic and dual-power law nonlinearities by semi-inverse variational principle

This paper secures bright optical soliton solutions to the nonlinear Schrödinger's equation with parabolic and dual-power law nonlinearities. This model carries Hamiltonian type perturbation terms that permit integrability. The semi-inverse variational principle is the integration criteria for this perturbed model and the soliton structure is chosen to be a different one from earlier reported works.

Optical solitons, nonlinear self-adjointness and conservation laws for the cubic nonlinear Shrödinger's equation with repulsive delta potential

In this paper, the complex envelope function ansatz method is used to acquire the optical solitons to the cubic nonlinear Shrödinger's equation with repulsive delta potential (δ−NLSE). The method reveals dark and bright optical solitons. The necessary constraint conditions which guarantee the existence of the solitons are also presented. We studied the δ−NLSE by analyzing a system of partial differential equations (PDEs) obtained by decomposing the equation into real and imaginary components. We derive the Lie point symmetry generators of the system and prove that the system is nonlinearly self-adjoint with an explicit form of a differential substitution satisfying the nonlinear self-adjoint condition. Then we use these facts to establish a set of conserved vectors for the system using the general Cls theorem presented by Ibragimov. Some interesting figures for the acquired solutions are also presented.

Optical solitons and stability analysis of the NLSE with anti-cubic nonlinearity

In this work, the Jacobi elliptic functions are used to obtain the optical solitons for NLSE with anti-cubic nonlinearity. As a result of the operations, dark and bright optical solitons are obtained. The stability analysis for the governing equation is analyzed and investigated. The constraint conditions for the existence of soliton are also determined. Three dimensional figures and the corresponding contour plots for the obtained solutions are plotted.

Raman self-induced-transparency soliton trains in hollow-core photonic crystals

Periodic trains of non-topological dark and bright optical solitons are proposed as one of the possible nonlinear optical structures that could be generated during Raman transitions in nonlinear hollow-core photonic crystal fibers filled with gas. It is shown that Stokes-like probe fields, generated by stimulated Raman transitions upon propagation of the master pump in the hollow-core fiber, form a broadband spectrum, whose discrete branch is populated by several distinct localized periodic soliton modes with well-defined “quantum numbers”. Such soliton trains, which are intended to complement recently proposed single-pulse and single-dark solitons for multi-channel communication applications, can be formed by temporal quantum entanglements of the single-soliton fields. Attention is laid on a possibility to generate such soliton trains in the absence of Kerr nonlinearity, and total controllability of their shape profiles including their temporal periods and average widths is demonstrated through variations of characteristic parameters of the hollow-core photonic crystal fiber.

Optical solitons with quadratic-cubic nonlinearity by semi-inverse variational principle

Bright optical soliton solutions are obtained for quadratic-cubic nonlinear medium. He's semi-inverse variational principle is adopted. The constrained conditions naturally emerge from the solution structure to the model.

Periodic soliton trains in nonlinear magneto-optical media

The combination of the vector nature (i.e. polarization) of light in materials with nonlinearity can give rise to outstanding phenomena in the transmission of nonlinear optical fields. When the optical medium has been initially altered by a magnetic field, magneto-optical effects introduce additional interesting phenomena such as the possible control of optical signals by a magnetic field. The present work addresses the problem of optical-soliton generation from pulsed radiations interacting with a quasi-resonant magneto-optical medium, under normal Zeeman effect. It is shown that multi-soliton structures can be generated in the magneto-optical medium under specific conditions, these include periodic trains of bright and dark optical solitons having finite temporal periods.

Bright optical solitons with Kerr law nonlinearity and fifth order dispersion

In this work, we investigate optical solitons with fifth-order dispersion and Kerr nonlinearity. By means of the coupled amplitude-phase formulation, we derive the basic nonlinear equation describing the dynamics of the pulse amplitude as it propagates in nonlinear dispersive media. The ansatz approach is utilized to analytically solve the derived equation with fifth-degree nonlinear term. Two families of bright soliton solutions with different amplitudes are obtained in the most general case, when all terms related to even and odd hierarchical orders are present in the model. These localized structures exist due to a balance among several higher order dispersion and nonlinear terms of different nature. The constraint conditions for the existence of soliton pulses are presented.

Bright optical solitons or light bullets for a (3 + 1)-dimensional generalized nonlinear Schrödinger equation with the distributed coefficients

Under investigation in this paper is a (3 + 1)-dimensional generalized nonlinear Schrödinger equation with the distributed coefficients for the spatiotemporal optical solitons or light bullets. Through the symbolic computation and Hirota method, one- and two-soliton solutions are derived. We also present the Bäcklund transformation, through which we derive the soliton solutions. When the gain/loss coefficient is the monotonically decreasing function for the propagation coordinate [Formula: see text], amplitude for the spatiotemporal optical soliton or light bullet decreases along [Formula: see text], while when the gain/loss coefficient is the monotonically increasing function for [Formula: see text], amplitude for the spatiotemporal optical soliton or light bullet increases along [Formula: see text]. Directions of the solitons are different because the signs of imaginary parts of the frequencies are adverse. Based on the two-soliton solutions, elastic and inelastic collisions between the two spatiotemporal optical solitons or light bullets are derived under different conditions presented in the paper.

Pure-quartic solitons.

Temporal optical solitons have been the subject of intense research due to their intriguing physics and applications in ultrafast optics and supercontinuum generation. Conventional bright optical solitons result from the interaction of anomalous group-velocity dispersion and self-phase modulation. Here we experimentally demonstrate a class of bright soliton arising purely from the interaction of negative fourth-order dispersion and self-phase modulation, which can occur even for normal group-velocity dispersion. We provide experimental and numerical evidence of shape-preserving propagation and flat temporal phase for the fundamental pure-quartic soliton and periodically modulated propagation for the higher-order pure-quartic solitons. We derive the approximate shape of the fundamental pure-quartic soliton and discover that is surprisingly Gaussian, exhibiting excellent agreement with our experimental observations. Our discovery, enabled by precise dispersion engineering, could find applications in communications, frequency combs and ultrafast lasers.

Bistable Bright Optical Spatial Solitons due to Charge Drift and Diffusion of Various Orders in Photovoltaic Photorefractive Media Under Closed-Circuit Conditions

Abstract Evolution of bright optical spatial solitons in biased photovoltaic photorefractive (PVPR) medium is investigated in the present work. The space-charge field developed in the medium is comprised of local and nonlocal parts. Lowest order charge drift results in the buildup of the local space-charge field, whereas higher order drift and charge diffusion are responsible for nonlocal field development. The dynamical equation for solitons in the closed circuit PVPR medium is obtained under Akhmanov’s paraxial ray approximation. Conditions for stationary propagation are obtained, and the path of soliton in the medium is examined. The asymmetry in the nonlinear refractive index introduced by nonlocal contribution to the space-charge field causes a soliton to deflect from its straight line path in the medium. The roles of charge diffusion and higher order drift on soliton trajectory are examined.

Bright and Dark Optical Solitons with Kerr and Parabolic Law Nonlinearities by Series Solution Approach

Bright and Dark Optical Solitons with Kerr and Parabolic Law Nonlinearities by Series Solution Approach

Explicit construction of single input–single output logic gates from three soliton solution of Manakov system

We construct single input logic gates using the energy sharing collisions of a minimal number of (three) bright optical solitons associated with the three soliton solution of the integrable Manakov system. As computation requires state changes to represent binary logic, here we make use of the state change of a particular soliton during its sequential collision with other two solitons for constructing single input gates. As a consequence, we clearly demonstrate the construction of various one-input logic gates such as COPY gate, NOT gate and ONE gate using energy sharing three soliton collision of Manakov system. This type of realization of logic gates just from a three soliton collision (pair-wise interaction) is clearly distinct from the earlier studies which require separate collisions of four solitons.

Optical soliton solutions for the variable coefficient modified Kawahara equation

In this paper, we obtain the 1-soliton solutions of the variable-coefficient modified Kawahara equation (VCMKE). The dark optical as well as bright optical soliton solutions were found related to the model considered in this study. The solitary wave ansatz method is used to carry out the integration.

Bright and singular solitons in quadratic nonlinear media

This paper addresses the dynamics of bright and singular optical solitons in quadratic nonlinear media. The ansatz approach is the tool of integration of this model. The 1-soliton solution is obtained and the constraint conditions fall out during the course of derivation of the soliton solution.

Ultraslow solitons due to large quintic nonlinearity in coupled quantum well structures driven by two control laser beams

In this paper, we have shown the existence of large amounts of quintic nonlinearity in asymmetric three-coupled quantum wells, which arise due to a probe pulse and two controlling laser beams. The possibilities of generation and propagation of ultraslow bright optical solitons in these systems have been examined in situations of both Kerr and quintic nonlinearities. We have also demonstrated numerically that these solitons are stable. The modulation instability of a continuous or quasi-continuous wave probe beam has been also investigated and the role of quintic nonlinearity in suppressing this instability has been addressed.

Soliton propagation optimization and dynamic modulation in photonic crystal waveguide with polystyrene background

Bright optical soliton propagation properties near the left band edge of photonic crystal waveguide (PCW) are numerically investigated. Compared with the normal PCW with air background, by employing polystyrene as PCW background and adjusting the structure parameters simultaneously, the required soliton peak power sharply decreases from 8.63 × 10 6 W/m to 9.98 × 10 2 W/m. The influence of optical loss on soliton propagation is numerically investigated. The dynamic modulation of the soliton propagation in PCW is realized, and a modulation range of 459 nm wavelength for the soliton transmission has been achieved. Simulation results show that the transmission wavelength, required soliton peak power and delay time decrease almost linearly as the external modulated voltage increases; the modulation sensitivities are 8.316 nm/V, 3.416 W/m/V and 16.6 ps/V, respectively.

Coherently coupled bright optical solitons and their collisions

We obtain explicit bright one- and two-soliton solutions of the integrable case of the coherently coupled nonlinear Schrödinger equations by applying a non-standard form of Hirota's direct method. We find that the system admits both degenerate and non-degenerate solitons in which the latter can take single-hump, double-hump and flat-top profiles. Our study on the collision dynamics of solitons in the integrable case shows that the collision among degenerate solitons and the collision among non-degenerate solitons are always standard elastic collisions. But the collision of a degenerate soliton with a non-degenerate soliton induces switching in the latter leaving the former unaffected after collision, thereby showing a different mechanism from that of the Manakov system.