Trapping light with grating defects


Gap solitons are localized traveling waves that exist in Bragg grating optical fibers. We demonstrate a family of grating defects that support linear and nonlinear standing wave modes, and show numerically that these defect modes may be used to trap the energy from a gap soliton. A mechanism involving a nonlinear resonance is proposed to explain why trapping occurs in some situations and not in others.

Contemporary Mathematics 379: Mathematical studies in nonlinear wave propagation
Roy Goodman
Roy Goodman
Associate Professor, Associate Chair for Graduate Studies, Department of Mathematical Sciences

My research interests include dynamical systems and nonlinear waves, vortex dynamics, quantum graphs, and network inference