The electromagnetic scattering of a normal incident monochromatic plane wave from a ''strongly'' nonlinear dielectric slab is considered. The time dynamic of the field inside the nonlinear body is studied by means of the Galerkin method. The solutions -of the Galerkin equations are calculated using the fourth-order Runge-Kutta-Nystrom method. - Their asymptotic behaviour abruptly changes its qualitative properties by continuous variation of the system parameters and a surprising wealth of different nonlinear phenomena appears. They are: bifurcation of the periodic response, subharmonic, almost-periodic solutions and chaotic dynamics.
A Numerical Analysis of the Behaviour of the Galerkin Equations Relevant to Electromagnetic Wave Propagation in Nonlinear Media
VISONE C;
1994-01-01
Abstract
The electromagnetic scattering of a normal incident monochromatic plane wave from a ''strongly'' nonlinear dielectric slab is considered. The time dynamic of the field inside the nonlinear body is studied by means of the Galerkin method. The solutions -of the Galerkin equations are calculated using the fourth-order Runge-Kutta-Nystrom method. - Their asymptotic behaviour abruptly changes its qualitative properties by continuous variation of the system parameters and a surprising wealth of different nonlinear phenomena appears. They are: bifurcation of the periodic response, subharmonic, almost-periodic solutions and chaotic dynamics.File in questo prodotto:
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