Filamentation patterns in Kerr media vs. beam shape robustness, nonlinear saturation and polarization states

DOI10.1016/S0167-2789(02)00740-6zbMath1011.78009MaRDI QIDQ1858118

Yanyan Li

Publication date: 11 February 2003

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

collapse power thresholdmodulational instability growth rateself-focusing attractor relaxation

Mathematics Subject Classification ID

Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (7)

Inverse fixed energy scattering problem for the two-dimensional nonlinear Schrödinger operator ⋮ Atmospheric propagation of gradient-shaped and spinning femtosecond light pulses ⋮ Light propagation in media with a highly nonlinear response: an analytical study ⋮ New singular solutions of the nonlinear Schrödinger equation ⋮ Nonlinearity Saturation as a Singular Perturbation of the Nonlinear Schrödinger Equation ⋮ Nonlinear Nonperturbative Optics Model Enriched by Evolution Equation for Polarization ⋮ Singular ring solutions of critical and supercritical nonlinear Schrödinger equations

Cites Work

• Nonlinear Schrödinger equations and sharp interpolation estimates
• Focusing and multi-focusing solutions of the nonlinear Schrödinger equation
• Computation of nonlinear backscattering using a high-order numerical method
• On the analytical theory for stationary self-focusing of radiation
• Blow-up in Nonlinear Schroedinger Equations-I A General Review

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