Stability of Nonlinear TE Surface Waves along the Boundary of Linear Gyrodielectric Media

The stability characteristics of nonlinear surface waves propagating at a linear gyrodielectric substrate and a nonlinear dielectric cover have been simulated numerically by using the perturbation method. The growth rate of perturbation is computed by solving the dispersion equation of perturbation. We found that the nonlinear surface waves are unstable when their growth rate of perturbation is real, and stable when their growth rate of perturbation is imaginary. The spatial evolution of the steady-state field amplitude is determined using a computer simulation method