Justification of a nonlinear Schrodinger model for photopolymers
Salle Galois Coriolis, on July 17th @ 11:00
Warning!
A model with nonlinear Schrödinger (NLS) equation used for describing pulse propagationsin photopolymers is considered. We focus on a case in which change of refractive index
is proportional to the square of amplitude of the electric eld and the spatial domain is
R2. After formal derivation of the NLS approximation from the wave-Maxwell equation,
we establish well-posedness and perform rigorous justi cation 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.
