STABILITY OF NON LINEAR TE SURFACE WAVES ALONG THE INTERFACE OF NONLINEAR DIELECTRIC AND (LANS) SUPERLATTICES MEDIA

Abstract

The stability characteristics of non-linear surface waves
propagating at a lateral antiferromagnetic non magnetic superlattices (LANS)
substrate and a non-linear dielectric cover have been simulated numerically
by using the perturbation method . LANS are linear frequency- dependent
gyromagnetic media, described with an effective- medium theory [1]. The
growth rate of perturbation is computed by solving the dispersion equation of
perturbation. We found that the nonlinear surface waves are unstable because
their growth rate of perturbation δ is real with the existence of the magnetic
matter of permeability tensor μ e . This means that the stability of nonlinear
surface waves is magnetic fractional dependent. The variation of the nonlinear
surface waves energy flow [2,3] along the propagation axis as a function of
the effective index x n for different values of the saturation parameter p μ
has been studied. It illustrates that the energy of the non-linear surface waves increases with increasing p μ . The spatial evolution [4] of the steady state
field amplitude is determined by using computer simulation method [5,6]. The
calculation shows that with increasing the x n at fixed p μ , the field
distribution is sharpened and concentrated in the non linear medium.