Management of rogue waves dynamics generated by higher order dispersion effects in a left-handed transmission line

5^th International Conference and Exhibition on Lasers, Optics & Photonics

November 28-30, 2016 Atlanta, USA

Jacques Atangana, Bibiane Mireille NDI Nnanga and Frederic Biya Motto

University of Yaound�© I, Cameroon

Posters & Accepted Abstracts: J Laser Opt Photonics

Abstract :

Optical rogue waves are rare yet extreme fluctuations in the value of an optical field. The terminology was first used in the context of an analogy between pulse propagation in optical fiber and wave group propagation on deep water, but has since been generalized to describe many other processes in optics. In this communication, we analyze the propagation of an electromagnetic wave in lefthanded material and where cubic nonlinearity, second, third and fourth order dispersion effects are taken into account. The wave behavior is modeled by nonlinear Schr�¶dinger equation. Thereafter, the light pulse intensity profile is characterized by collective coordinateâ��s technique from the use of a Gaussian Ansatz function. One frequency range has been outlined to investigate the wave behavior. The robust soliton light pulse is obtained with a perfect self-compensation between second-order dispersion and cubic nonlinearity. We demonstrate that weak nonlinearity acting with second and third-order dispersion effects can provoke appearance of a random rogue waveâ��s field. If the frequency increases in this frequency range selected, the weak nonlinearity induces a classical modulational instability, leading to a train of rogue wave field. Each of this train can be identified as Kuznetsovâ��Ma waves train. Moreover, if fourth-order dispersion comes into play, the soliton light pulse is restored. The rogue wave mechanisms of generation are also discussed.

Biography :

Email: atanganajaques@yahoo.fr