Modulational instability in nonlocal Kerr-type media with random parameters

2007/04/09 by E. V. Doktorov, Maxim A. Molchan, M. A. Molchan · 17 citations
Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Diffraction #Dispersion (optics) #Fourier transform #Instability #Mathematical analysis #Mathematics #Modulational instability #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Optics #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #Quantum nonlocality #Sign (mathematics) #nlin.CD #nlin.PS

paper · pdf · doi:10.1103/physreva.75.053819

published in Physical Review A 75(5) (American Physical Society) · 6 pages, 12 figures, revTeX, to appear in Phys. Rev. A

arxiv created 2007/04/09 · openalex publication_date 2007/05/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The modulational instability of continuous waves in nonlocal focusing and defocusing Kerr media with stochastically varying diffraction (dispersion) and nonlinearity coefficients is studied both analytically and numerically. It is shown that nonlocality with sign-definite Fourier images of the medium response functions considerably suppresses the growth rate peak and bandwidth of instability caused by stochasticity. In contrast, nonlocality can enhance modulational instability growth for a response function with negative-sign bands.

Citations

• Modulational instability in Bose-Einstein condensates in optical lattices
• Route to Nonlocality and Observation of Accessible Solitons
• Observation of Optical Spatial Solitons in a Highly Nonlocal Medium
• Collapse arrest and soliton stabilization in nonlocal nonlinear media