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An overview of optical solitons was presented in this project. Starting from the nonlinear effects on the refractive index and the wave equation, the Nonlinear Schrodinger Equation (NLSE) was developed. The NLSE is capable of describing both temporal and spatial solitons of both the bright and dark types. The solutions to these NLSE were also given, and their physical properties were explored. The crux of soliton theory is that the 𝛽2 linear dispersive effects (GVD or diffraction) can be balanced by intensity dependent nonlinear effects, creating a field that does not change in shape as it propagates. This places a defining condition between the pulse width and amplitude. Simulation results of soliton propagation through a dispersive fiber were presented, and it was found that the exact initial conditions of a soliton do not have to be matched, since solitons are self-adjusting. The implementation of optical solitons for fiber optic communications were studied, and the relations between bit-rate, transmission distance, and pulse widths in a typical setup were determined. There are several challenges in the implementation, the most important is power loss in the fiber, which causes an exponential broadening of pulse width during propagation. Finally, a brief description of previous experimental results on soliton transmission in fiber optic communications was presented.
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.
International Journal of Scientific Research in Inventions and New Ideas, 2013
If we transmit more than a single pulse at a time inside the optical fiber then we have to maintain the minimum separation (6 ps) between the consecutive pulses. Interactions of solitons are studied using the modified nonlinear Schrödinger equation, which models nonlinear optical pulses in a single mode fiber. The main objective of this paper is to show the minimum separation of 6ps must require between two soliton pulses to increase the information carrying capacity of the fiber
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.
2011
Solitons are self-localized wave packets arising from a robust balance between dispersion and nonlinearity. Soliton is the physics of wave, acting upon wave. In mathematics and physics, a soliton is a self-reinforcing solitary wave that maintains its shape while it travels at constant speed. They are a universal phenomenon, exhibiting properties typically associated with particles. Optical soliton in media with quadratic nonlinearity and frequency dispersion are theoretically analyzed over the years. Our aim is to discuss the behavior of soliton solutions to the KdV equation and their interactions and applications are then investigated in the fiber optics solitons theory in communication engineering. In this study optical soliton is studied with illustrated graphical representation.
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.
Soliton is a special kind of wave packet that travels distortion less over long distances. It is a pulse able to maintain its shape and width due to compensation of Self Phase Modulation (SPM) process which is a non-linear effect based on refractive index variation and Group Velocity Dispersion (GVD) process which is a linear effect. For long range communication, soliton pulses are very suitable as the pulse width remain constant over the entire transmission distance. It eliminates the need to cope with any type of dispersion. The transmission of light in optical fiber given by Nonlinear Schrödinger equation has been discussed in the paper. The performance of fiber with soliton parameters is compared to that with fiber without soliton parameters using OptiSystem Software.
Fiber and Integrated Optics, 2005
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.
2006
It is well known that the propagation of soliton pulse through an optical fiber depends on the compensation o f Group Velocity Disp>ersion (G V D) and Self-Phase Modulation (SPM). This balance is to be maintained exactly where in dispersion compensated fiber, the dispersion are balanced mutually that is waveguide dispersion cancels material dispersion. In this context, if we consider the nonlinearity in fiber media, then how these dispersions are compensated mutually, is analytically observed by us in this paper. At the same time, how the soliton pulse will be affected by the media o f the optical fiber where the dispersion compensation is done accommodating the nonlinearity of the optical fiber.
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