English

Nonlinearity Management in Optics: Experiment, Theory, and Simulation

Pattern Formation and Solitons 2009-11-11 v2 Exactly Solvable and Integrable Systems Optics

Abstract

We conduct an experimental investigation of nonlinearity management in optics using femtosecond pulses and layered Kerr media consisting of glass and air. By examining the propagation properties over several diffraction lengths, we show that wave collapse can be prevented. We corroborate these experimental results with numerical simulations of the (2 + 1)-dimensional focusing cubic nonlinear Schr\"odinger equation with piecewise constant coefficients and a theoretical analysis of this setting using a moment method.

Keywords

Cite

@article{arxiv.nlin/0604031,
  title  = {Nonlinearity Management in Optics: Experiment, Theory, and Simulation},
  author = {Martin Centurion and Mason A. Porter and P. G. Kevrekidis and Demetri Psaltis},
  journal= {arXiv preprint arXiv:nlin/0604031},
  year   = {2009}
}

Comments

4 pages, 4 figures (some with multiple parts; color online), to appear in Physical Review Letters; changes from previous version: revised figures, discussion of time-dependent simulations, other touch-ups

R2 v1 2026-07-22T18:15:17.069Z