Stability of non linear te surface waves along the interface of nonlinear dielectric and (lans)‎ superlattices media

Abstract EN

The stability characteristics of non-linear surface waves propagating at a lateral antiferromagnetic non magnetic super lattices (LANS) substrate and a non-linear dielectric cover have been simulated numerically by using the perturbation method .

LANS are linear frequency- dependent gyro magnetic 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 ð is real with the existence of the magnetic matter of permeability tensor µe.

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 parameterµ p has been studied.

It illustrates that the energy of the non-linear surface waves increases with increasing µp.

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 n x at fixed µp, the field distribution is sharpened and concentrated in the non linear medium.