Solitary Waves and Property Management of Nonlinear Dispersive and Flattened Optical Fiber

Christian Ngouo Tchinda,Jean Roger Bogning

doi:10.11648/j.ajop.20200801.13

Christian Ngouo Tchinda, Jean Roger Bogning

Open Access

https://doi.org/10.11648/j.ajop.20200801.13

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Abstract

In this work, we establish the Conditions that must satisfy the characteristic coefficients of the nonlinear and flattened dispersive optical fiber so that certain classes of solitary waves propagate there with fewer fluctuations. Once the conditions are established, we determine the exact solutions as well as the corresponding nonlinear partial differential equations that govern the propagation dynamics in this transmission medium. The propagation of the solutions obtained is also tested. The method used to obtain the analytical solutions is based on the control of the properties of the Bogning implicit functions whereas the numerical simulations are made through the split-step method which is very adapted to simulate the propagation of the signals.

Highlights

Nonlinear physics in its branch of photonic optics has been at the center of many telecommunications technology applications in recent years
The propagation dynamics of the waves in the fiber is generally modeled by partial differential equations of Schrödinger type with nonlinear terms, dispersion terms and dissipation terms characterized by their coefficients [1-5]
There are several types of optical fibers but the optical fiber that will be the focus of our study in this paper is the nonlinear dispersive and flattened optical fiber

Summary

Introduction

Nonlinear physics in its branch of photonic optics has been at the center of many telecommunications technology applications in recent years. Among the transmission media and waveguides developed by these technologies, optical fiber is attracting even more interest, probably because of its high bandwidth and insensitivity to external electromagnetic disturbances This great interest is reflected by the large number of research works devoted to this ultimate transmission medium. The propagation dynamics of the waves in the fiber is generally modeled by partial differential equations of Schrödinger type with nonlinear terms, dispersion terms and dissipation terms characterized by their coefficients [1-5]. If the coefficient of nonlinearity is responsible for the unpredictable effects that the propagating wave may undergo, the dispersion coefficient is responsible for the spread of the signal and the dissipation coefficient responsible for the absorption or losses of the energy These observations and remarks assume that these effects must be taken into account during the fabrication of an optical fiber capable of better transmitting a signal.

Equation of Range of Coefficients and Possibilities of Solutions

Analytical Solutions and Constraint Relationships

Numerical Study

Conclusion