TITLE:
Influence of Waveguide Properties on Wave Prototypes Likely to Accompany the Dynamics of Four-Wave Mixing in Optical Fibers
AUTHORS:
Jean Roger Bogning, Marcelle Nina Zambo Abou’ou, Christian Regis Ngouo Tchinda, Mathurin Fomekong, Oriel Loh Ndichia, Stallone Mezezem Songna, François Béceau Pelap
KEYWORDS:
Optical Fiber, Four Waves Mixing, Implicit Bogning Function, Coupled Nonlinear Partial Differential Equations, Nonlinear Coefficient, Dispersive Coefficient, Waveguide Properties
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.7,
July
29,
2024
ABSTRACT: In this article, we study the impacts of nonlinearity and dispersion on signals likely to propagate in the context of the dynamics of four-wave mixing. Thus, we use an indirect resolution technique based on the use of the iB-function to first decouple the nonlinear partial differential equations that govern the propagation dynamics in this case, and subsequently solve them to propose some prototype solutions. These analytical solutions have been obtained; we check the impact of nonlinearity and dispersion. The interest of this work lies not only in the resolution of the partial differential equations that govern the dynamics of wave propagation in this case since these equations not at all easy to integrate analytically and their analytical solutions are very rare, in other words, we propose analytically the solutions of the nonlinear coupled partial differential equations which govern the dynamics of four-wave mixing in optical fibers. Beyond the physical interest of this work, there is also an appreciable mathematical interest.