Justification of a nonlinear Schrödinger model for polymers

<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>

Department dc:contributor.department

Mathematics and Statistics

Year dc:date.issued

2012

Author dc:creator

• Ponomarev, Dmitry

Advisor dc:contributor.advisor

• Pelinovsky, Dmitry

• justification analysis
• photopolymers
• NLS equation
• wave-Maxwell system
• Optics
• Partial Differential Equations
• Polymer Chemistry

Dc Identifier Other

opendissertations/6981
8018
2843310

OAI record oai:identifier

https://macsphere.mcmaster.ca/server/oai/request?verb=GetRecord&metadataPrefix=dim&identifier=oai%3Amacsphere.mcmaster.ca%3A11375%2F12064