Nonlinearity Management in Optics: Experiment, Theory, and Simulation

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 Schrödinger equation with piecewise constant coefficients and a theoretical analysis of this setting using a moment method.

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

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Cited by in corpus (39)

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• Nonlinearity management of photonic composites and observation of spatial-modulation instability due to quintic nonlinearity
• Stability conditions for one-dimensional optical solitons in cubic-quintic-septimal media
• Manipulating matter-rogue waves and breathers in Bose-Einstein condensates
• Solitary beam propagation in a nonlinear optical resonator enables high-efficiency pulse compression and mode self-cleaning
• Modulational instability in a layered Kerr medium: Theory and Experiment
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• Diffractionless propagation through Kapitza stratified media
• Stabilization of high-order solutions of the cubic Nonlinear Schrodinger Equation
• Stable two-dimensional solitons supported by radially inhomogeneous self-focusing nonlinearity
• Engineering Optical Rogue Waves and Breathers in a Coupled Nonlinear Schrödinger System with Four-Wave Mixing Effect
• Vector rogue waves and dark-bright boomeronic solitons in autonomous and non-autonomous settings
• Spatially modulated two- and three-component Rabi-coupled Gross-Pitaevskii systems
• Stabilization of the Peregrine soliton and Kuznetsov-Ma breathers by means of nonlinearity and dispersion management
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• To Infinity and Beyond: Some ODE and PDE Case Studies
• Rapidly-oscillating scatteringless non-Hermitian potentials and the absence of Kapitza stabilization
• Multidimensional Discrete Compactons in Nonlinear Schrödinger Lattices with Strong Nonlinearity Management
• Dark Solitary Waves in a Class of Collisionally Inhomogeneous Bose-Einstein Condensates
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• Dissipative solitons stabilized by a quantum Zeno-like effect
• Control of the symmetry breaking in double-well potentials by the resonant nonlinearity management