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http://hdl.handle.net/11375/12064
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DC Field | Value | Language |
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dc.contributor.advisor | Pelinovsky, Dmitry | en_US |
dc.contributor.author | Ponomarev, Dmitry | en_US |
dc.date.accessioned | 2014-06-18T16:58:08Z | - |
dc.date.available | 2014-06-18T16:58:08Z | - |
dc.date.created | 2012-05-11 | en_US |
dc.date.issued | 2012-10 | en_US |
dc.identifier.other | opendissertations/6981 | en_US |
dc.identifier.other | 8018 | en_US |
dc.identifier.other | 2843310 | en_US |
dc.identifier.uri | http://hdl.handle.net/11375/12064 | - |
dc.description.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> | en_US |
dc.subject | justification analysis | en_US |
dc.subject | photopolymers | en_US |
dc.subject | NLS equation | en_US |
dc.subject | wave-Maxwell system | en_US |
dc.subject | Optics | en_US |
dc.subject | Partial Differential Equations | en_US |
dc.subject | Polymer Chemistry | en_US |
dc.subject | Optics | en_US |
dc.title | Justification of a nonlinear Schrödinger model for polymers | en_US |
dc.type | thesis | en_US |
dc.contributor.department | Mathematics and Statistics | en_US |
dc.description.degree | Master of Science (MSc) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 621.7 kB | Adobe PDF | View/Open |
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