Related Experiment Video
Updated: Jan 14, 2026
09:19
Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
Published on: July 29, 2013
11.9K
Screening and localization in the nonlinear Anderson problem
Alexander V Milovanov1,2, Alexander Iomin2,3
1ENEA National Laboratory, Centro Ricerche Frascati, I-00044 Frascati, Rome, Italy.
Physical Review. E
|October 21, 2025
Summary
Adding dielectric coupling to random media causes nonlinear wave packet localization. Without it, a sharp localization-delocalization transition occurs, dependent on nonlinearity. This impacts complex media wave dynamics.
Area of Science:
- Physics
- Nonlinear Dynamics
- Wave Propagation
Background:
- Studying wave packet spreading in nonlinear Schrödinger lattices with random potentials is crucial.
- Understanding the interplay of nonlinearity, nonlocality, and randomness is key in complex systems.
Purpose of the Study:
- Investigate the spreading dynamics of localized wave packets in 1D nonlinear Schrödinger lattices with random potentials.
- Analyze the effect of dielectric coupling and Kerr nonlinearity on wave localization.
Main Methods:
- Numerical simulations of nonlinear Schrödinger equations.
- Analytical treatment of wave propagation in disordered media.
- Analysis of localization phenomena.
Main Results:
- Dielectric coupling induces asymptotic localization of the nonlinear field, irrespective of Kerr nonlinearity strength.
- Zero electric susceptibility leads to a sharp localization-delocalization transition above a critical nonlinearity.
- A formula for nonlinear localization length is derived: Λloc ≃ exp[(π/ɛr tanδ)lnβ].
Conclusions:
- Dielectric coupling offers a mechanism for controlling wave localization in random media.
- The study provides insights into self-induced localization phenomena.
- Mathematical methods developed can advance understanding of wave processes in complex, dispersive, and nonlinear environments.
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