"

Cookies ussage consent

I agree.

Our site saves small pieces of text information (cookies) on your device in order to deliver better content and for statistical purposes. You can disable the usage of cookies by changing the settings of your browser. By browsing our site without changing the browser settings you grant us permission to store that information on your device.

Evolution of bell-shaped dissipative optical solitons from super-gaussian pulse in parabolic law medium with bandwidth limited amplification

SOUMENDU JANA1,* , SHIVANI2, GURKIRPAL SINGH PARMAR1, BALDEEP KAUR1, QIN ZHOU3, ANJAN BISWAS4,5, MILIVOJ BELIC6

Affiliation

  1. School of Physics and Materials Science, Thapar University, Patiala-147004, India
  2. Department of Electronics and Communication Engineering, Thapar University, Patiala-147004, India
  3. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, P.R. China
  4. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
  5. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah-21589, Saudi Arabia
  6. Science Program, Texas A & M University at Qatar, Doha, Qatar

Abstract

This paper presents evolution of super-Gaussian optical pulses to bell-shaped dissipative solitons in a lossy, cubic-quintic nonlinear (parabolic law) fiber in presence of bandwidth limited amplification. Lagrangian and Rayleigh dissipative function based variational principle leads to a set of evolution equations of individual pulse parameters that determine the condition of stable dissipative soliton pulse propagation. After some initial fluctuations, a flat-top pulse transforms its profile to a bell-shaped one and start propagating in a stable manner. In support of this analytical result, numerical investigations are performed using split-step Fourier method. In this case too, super-Gaussian pulses undergo an initial transition stage before achieving stable bell-shaped solitonic state. Dissipative solitons, thus generated, are found to be robust. This work provides the theoretical backup to experimental procedures of obtaining fundamental soliton from arbitrary pulse using a nonlinear optical fiber..

Keywords

Dissipative soliton, Super-Gaussian, Bell-shaped soliton, Cubic-quintic nonlinearity, Frequency-selective feedback.

Citation

SOUMENDU JANA, SHIVANI, GURKIRPAL SINGH PARMAR, BALDEEP KAUR, QIN ZHOU, ANJAN BISWAS, MILIVOJ BELIC, Evolution of bell-shaped dissipative optical solitons from super-gaussian pulse in parabolic law medium with bandwidth limited amplification, Optoelectronics and Advanced Materials - Rapid Communications, 10, 3-4, March-April 2016, pp.143-150 (2016).

Submitted at: Feb. 14, 2016

Accepted at: April 5, 2016