Abstract
An iterative scheme for the approximative solution of the Galerkin system of the linear rotational diffusion equation for the chromophore distribution in nonlinear optical polymers is formulated. Uniformly valid asymptotic steady-state solutions are obtained in terms of power series expansions in the normalized dc field and the convergence properties of the scheme are discussed. Moreover, by neglecting the effect of the ac field, it is proved by means of the Galerkin-system approach that the equilibrium solution of the rotational diffusion equation acts as a global attractor for any initial distributions. In addition, the decay towards this distribution is a purely exponential decay for small and moderate values of the dc-field strength. When the dc-field strength exceeds a certain threshold, this relaxation process is characterized as a damped oscillation.
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