Dynamical system of optical soliton parameters for anti-cubic and generalized anti-cubic nonlinearities with super-Gaussian and super-sech pulses (original) (raw)

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 with anti-cubic nonlinearity using three integration schemes

This paper employed three integration schemes to obtain soliton solutions in optical fibers with anti-cubic nonlinearity. These are traveling waves, tanh-coth scheme and finally the modified simple equation method. These yielded bright solitons, singular solitons, dark-singular combo solitons and other waves. The existence criteria for these solitons are presented. The paper concludes with a discussion on conservation laws.

Study of optical soliton fibers with power law model by means of higher-order nonlinear Schrödinger dynamical system

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.

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]:

Diminishing Dispersive And Nonlinear Effects Of Optical Soliton Using Group Velocity Dispersion

2013

The main objective of our work is to investigate the ultra-short optical soliton pulses dynamics in amplifying optical fibers with smooth and strong group velocity dispersion. It is well known that the self-frequency shift effect shifts the spectrum of a soliton pulse from under the gain line profile and is one of the main factors that limits the maximum energy and minimum duration of the output pulses. We analyse the possibility of using soliton to weaken undesirable effect for variable nonlinearity and group velocity dispersion. As follow from our simulations it is possible to capture the ultra-short optical soliton by a dispersion formed in an amplifying optical fiber. This process makes it possible to accumulate an additional energy in the soliton dispersion and reduce significantly the soliton pulse duration. In analysis and study of the pulse propagation in optical fiber of a new nonlinear effect, solitons pass through localized fibers and the effect of non-linearity and dispersion of the pulse propagation causes temporal spreading of pulse and it can be compensated by non-linear effect using different types of pulse including Gaussian and Super-Gaussian pulses.

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 in birefringent fibers having anti-cubic nonlinearity with a few prolific integration algorithms

Optik, 2020

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]:

Phase-controlled stable solitons in nonlinear fibers

Journal of the Optical Society of America B, 36(1), pp.1-6. , 2019

Bright and grey coupled solitons with complex envelopes are obtained as exact solutions of the system describing doped optical nonlinear fibers. The solitons formed are found to be free of amplitude and phase instabilities during their evolution, leading to the realization of stable soliton propagation. The phase of the input solitons plays a crucial role in the formation of tanh–sech paired pulses. This soliton is not supported in a two-level atomic medium and is exclusive to the Λ system.

Study of Soliton Interaction in Optical Fibers with Third Order Dispersion and Higher Order Nonlinear Effects

University of Thi-Qar Journal of Science, 2023

In this paper, we present a numerical approach to solve the GNLSE and analyze soliton interaction phenomena using COMSOL environment. By leveraging the capabilities of COMSOL's PDE module, we can accurately capture the dynamics of solitons and investigate their interactions. We analyze the impact of different parameters such as soliton power, initial separation distance, and dispersion characteristics on the soliton dynamics. Furthermore, we examine the role of higher-order dispersion terms in shaping the soliton interactions. Our findings demonstrate the effectiveness of the proposed numerical approach in accurately simulating and analyzing soliton interaction phenomena. The COMSOL-based methodology provides a flexible and efficient framework for studying complex nonlinear optical systems, enabling researchers to gain insights into the behavior of solitons in different media and design optimized communication systems. This paper contributes to the understanding of soliton dynamics and provides a practical tool for investigating the behavior of solitons in nonlinear dispersive media. The presented numerical approach using COMSOL opens avenues for further research in nonlinear optics and fiber optic communication systems.