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M. Johansson, A. A. Sukhorukov and Y. S. Kivshar, “Discrete Reduced-Symmetry Solitons and Second Band Vortices in Two Dimensional Nonlinear Waveguide Arrays,” Physical Review: E, Vol. 80, No. 4, 2009, pp. 046604046619. doi:10.1103/PhysRevE.80.046604

has been cited by the following article:

• TITLE: Stability of Nonlinear Te Surface Waves along the Boundary of Left-Handed Material

  AUTHORS: Hana Mohammed Mousa

  KEYWORDS: Nonlinear Waves; Wave-Guides; Dispersion Relation; Left-Handed Material; Growth Rate; Stability

  JOURNAL NAME: Optics and Photonics Journal, Vol.2 No.2, June 28, 2012

  ABSTRACT: This paper is concerned with the stability characteristics of nonlinear surface waves propagating along a left-handed substrate (LHM) and a non-linear dielectric cover. These characteristics have been simulated numerically by using the perturbation method. The growth rate of perturbation is computed by solving the dispersion equation of perturbation. I found that the stability of nonlinear surface waves is affected by the frequency dependence of the electric permittivity εh and magnetic permeability μh of the LHM. The spatial evolution of the steady state field amplitude is determined by using computer simulation method. The calculations show that with increasing the effective refractive index nx at fixed saturation parameter μp, the field distribution is sharpened and concentrated in the nonlinear medium. The waves are stable of forward and backward behavior. At higher values of nx, attenuated backward waves are observed.