Modulational instability windows in the nonlinear Schrödinger equation involving higher-order Kerr responses
arXiv:1501.01566 · doi:10.1103/PhysRevE.91.012904
Abstract
We introduce a complete analytical and numerical study of the modulational instability process in a system governed by a canonical nonlinear Schrödinger equation involving local, arbitrary nonlinear responses to the applied field. In particular, our theory accounts for the recently proposed higher-order Kerr nonlinearities, providing very simple analytical criteria for the identification of multiple regimes of stability and instability of plane-wave solutions in such systems. Moreover, we discuss a new parametric regime in the higher-order Kerr response which allows for the observation of several, alternating stability-instability windows defining a yet unexplored instability landscape.
9 pages, 8 figures
References in corpus (6)
- Ultrashort filaments of light in weakly-ionized, optically-transparent media
- Higher-order Kerr terms allow ionization-free filamentation in gases
- C programs for solving the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
- Transition from plasma- to Kerr-driven laser filamentation
- High-field quantum calculation reveals time-dependent negative Kerr contribution
- Fermionic light in common optical media