Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/12064
Title: | Justification of a nonlinear Schrödinger model for polymers |
Authors: | Ponomarev, Dmitry |
Advisor: | Pelinovsky, Dmitry |
Department: | Mathematics and Statistics |
Keywords: | justification analysis;photopolymers;NLS equation;wave-Maxwell system;Optics;Partial Differential Equations;Polymer Chemistry;Optics |
Publication Date: | Oct-2012 |
Abstract: | <p>A model with nonlinear Schrödinger (NLS) equation used for describing pulse propagations in photopolymers is considered. We focus on a case in which change of refractive index is proportional to the square of amplitude of the electric field and consider 2-dimensional spatial domain. After formal derivation of the NLS approximation from the wave-Maxwell equation, we establish well-posedness and perform rigorous justification analysis to show smallness of error terms for appropriately small time intervals. We conclude by numerical simulation to illustrate the results in one-dimensional case.</p> |
URI: | http://hdl.handle.net/11375/12064 |
Identifier: | opendissertations/6981 8018 2843310 |
Appears in Collections: | Open Access Dissertations and Theses |
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fulltext.pdf | 621.7 kB | Adobe PDF | View/Open |
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