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Oscillatory parabolic law optical spatial solitons

S. CRUTCHER1, A. OSEI2, AHMET YILDIRIM3,4, ANJAN BISWAS5,*

Affiliation

  1. US Army Research, Development, and Engineering Command, WDID Electronics and Computer Technology Function, Redstone Arsenal, AL 35898-5000 USA
  2. Department of Mathematics & Computer Sciences, Oakwood University, Huntsville, AL 35896 USA
  3. Department of Mathematics, Ege University, 35100 Bornova, Izmir, Turkey
  4. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA
  5. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA

Abstract

We apply equivalence particle principle to a higher order spatial Nonlinear Schrödinger Equation (NLSE) that models the propagation of a beam with higher order nonlinearity (χ(5)). Using this principle, expressions for acceleration, spatial frequency, spatial period and other variables for a spatial soliton can be derived from the solution of a dual power law (or parabolic law) homogenous Nonlinear Schrödinger Equation(NLSE). These results agree well with numerical simulations of the perturbed Nonlinear Schrödinger Equation. We show that if the expression of the acceleration is bounded this means the spatial soliton propagates with a swing effect. Taking one step further in this theoretical study, we investigate the swing effect through the use of numerical simulations..

Keywords

Nonlinear optics, Optical spatial soliton, Equivalent particle theory, Nonlinear Schrödinger Equation, Swing effect, Parabolic law.

Submitted at: Jan. 9, 2012
Accepted at: Feb. 20, 2012

Citation

S. CRUTCHER, A. OSEI, AHMET YILDIRIM, ANJAN BISWAS, Oscillatory parabolic law optical spatial solitons, Journal of Optoelectronics and Advanced Materials Vol. 14, Iss. 1-2, pp. 29-40 (2012)