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Related Experiment Video

Updated: Jan 14, 2026

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

Published on: July 29, 2013

Screening and localization in the nonlinear Anderson problem.

Alexander V Milovanov^1,2, Alexander Iomin^2,3

¹ENEA National Laboratory, Centro Ricerche Frascati, I-00044 Frascati, Rome, Italy.

Physical Review. E

|October 21, 2025

Summary

This summary is machine-generated.

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.

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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.