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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.