Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2006-11-14
Physical Review A, Vol. 75, No. 063804, 2007
Nonlinear Sciences
Pattern Formation and Solitons
13 pages, 12 figures (several with multiple parts); some important changes from the page proof stage implemented in this prepr
Scientific paper
10.1103/PhysRevA.75.063804
We investigate analytically, numerically, and experimentally the modulational instability in a layered, cubically-nonlinear (Kerr) optical medium that consists of alternating layers of glass and air. We model this setting using a nonlinear Schr\"odinger (NLS) equation with a piecewise constant nonlinearity coefficient and conduct a theoretical analysis of its linear stability, obtaining a Kronig-Penney equation whose forbidden bands correspond to the modulationally unstable regimes. We find very good {\it quantitative} agreement between the theoretical analysis of the Kronig-Penney equation, numerical simulations of the NLS equation, and the experimental results for the modulational instability. Because of the periodicity in the evolution variable arising from the layered medium, we find multiple instability regions rather than just the one that would occur in uniform media.
Centurion Martin
Frantzeskakis Dimitri J.
Kevrekidis Panagiotis G.
Porter Mason A.
Psaltis Demetri
No associations
LandOfFree
Modulational Instability in Nonlinearity-Managed Optical Media does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Modulational Instability in Nonlinearity-Managed Optical Media, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modulational Instability in Nonlinearity-Managed Optical Media will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-488121