Optical solitons in birefringent fibers with spatio-temporal dispersion (original) (raw)

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.

Spatiotemporal solitons in birefringent media near the zero-dispersion point

Journal of the Optical Society of America B, 2006

We present a new species of spatiotemporal solitons (STSs, alias light bullets) that may be formed through the interaction of two waves with different polarizations in a birefringent Kerr medium near the point at which the second-order group-velocity dispersion (GVD) vanishes in the presence of a uniform cw background in one component. The analysis is based on an asymptotic reduction of the two cross-phase, modulation-coupled ͑2+1͒-dimensional nonlinear Schrödinger equations, incorporating the third-order GVD to the Davey-Stewartson (DS) systems of type I or II for the self-defocusing and focusing Kerr nonlinearity, respectively. The STSs are then predicted following the pattern of the dromion solutions of the DS-I system and lump solitons of the DS-II system. Strictly speaking, the solitons are unstable, but they are shown to be stable objects on experimentally relevant scales of the propagation distance.

Optical solitons in birefringent fibers having anti-cubic nonlinearity with extended trial function

Optik, 2019

This paper obtains bright and singular optical solitons that are studied with anti-cubic nonlinearity in birefringent fibers. The extended trial function scheme gave way to these results. The existence criteria of such solitons are also indicated. 1.1. Governing model For polarization preserving fibers, the dynamics of soliton propagation through optical fibers with AC nonlinearity is governed by the nonlinear Schrödinger's equation (NLSE) [1-20]:

Dispersion-managed solitons in a periodically and randomly inhomogeneous birefringent optical fiber

Journal of the Optical Society of America B, 2000

The propagation of dispersion-managed vector solitons in optical fibers with periodic and random birefringence is studied. With the help of a variational approach, the equations that describe the evolution of pulse parameters are derived. Numerical modeling is performed for variational equations and for fully coupled periodic and stochastic nonlinear Schrödinger equations. It is shown that variational equations can be effectively used to describe the averaged dynamics of dispersion-managed vector solitons with stochastic perturbations. It is shown, analytically and numerically, that dispersion-managed (DM) solitons have the same resistance to random birefringence as do ordinary solitons. The dependence of the mean decay length of a DM vector soliton on the strength of random birefringence and on the energy of the initial pulse is found.

Highly dispersive optical solitons in birefringent fibers with four forms of nonlinear refractive index by three prolific integration schemes

Optik, 2020

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Femtosecond soliton pulses in birefringent optical fibers

Journal of The Optical Society of America B-optical Physics, 1997

We consider femtosecond soliton-pulse propagation in a birefringent optical fiber where rapidly oscillating terms, the difference in polarization dispersions, and the difference in group velocities of the two polarization components have to be taken into account. We demonstrate the existence of a novel class of linearly polarized soliton states (with the linear polarization ranging from 0 to 2). We also find the elliptically polarized soliton states, which do not appear to be acceptable to the coupled nonlinear Schrödinger equations describing the pulse evolution in the birefringent fiber when the different dispersions between the two polarizations are ignored and the group-velocity difference is taken into account. More importantly, the corresponding stability analysis reveals that within certain operating regions the fast soliton can be stable and the slow soliton can be unstable, whereas in the others the fast soliton is unstable and the slow soliton is stable, in contrast to those reported earlier by neglecting different polarization dispersions. On the other hand, both the linearly polarized soliton states and the elliptically polarized soliton states are found to be unstable. This indicates that for high-capacity coherent soliton communication in the femtosecond regime, the pulse must be launched along either the slow or the fast axis of a practical polarization-maintaining fiber. Finally, the potential applications of weakly unstable linearly polarized soliton states for ultrafast soliton switching are discussed.

Spatiotemporal solitons in dispersion-managed multimode fibers

Journal of Optics, 2020

We develop the scheme of dispersion management (DM) for three-dimensional (3D) solitons in a multimode optical fiber. It is modeled by the parabolic confining potential acting in the transverse plane in combination with the cubic self-focusing. The DM map is adopted in the form of alternating segments with anomalous and normal group-velocity dispersion. Previously, temporal DM solitons were studied in detail in single-mode fibers, and some solutions for 2D spatiotemporal ‘light bullets’, stabilized by DM, were found in the model of a planar waveguide. By means of numerical methods, we demonstrate that stability of the 3D spatiotemporal solitons is determined by the usual DM-strength parameter, S: they are quasi-stable at S < S 0 ≈ 0.93 , and completely stable at S > S 0 . Stable vortex solitons are constructed too. We also consider collisions between the 3D solitons, in both axial and transverse directions. The interactions are quasi-elastic, including periodic collisions betw...