Review of Stability of Nonlinear Te Surface Waves Along the Boundary of Gyromagnetic or Gyrodielectric Media

This paper is concerned with the stability characteristics of nonlinear surface waves propagating along a nonlinear dielectric cover and a linear substrate. These characteristics have been simulated numerically by using a perturbation method. The substrate may be a lateral antiferromagnetic nonmagnetic superlattices (LANS) or ferromagnetic or semiconductor media.  LANS are linear frequency- dependent gyromagnetic media, described by an effective- medium theory. The growth rate of perturbation  is computed by solving the dispersion equation of perturbation  for LANS, we found that  the nonlinear surface waves are  unstable because their  growth rate of perturbation  is always real with the existence of the magnetic matter of permeability tensor . This means that the  stability   of nonlinear surface waves is magnetic fraction dependent. 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  at fixed  saturation parameter.  the field distribution is sharpened and concentrated in the nonlinear medium. For ferromagnetic or semiconductor substrate, we found that the nonlinear surface waves can be stable or unstable according to the frequency region.

Key words:nolinear waves, wave guides, dispersion magnetic super lattices, semicon- ductor, ferromagnet, growth rate, stability.