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Updated: Jun 14, 2026

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

Nonlinear wave-packet dynamics in a disordered medium.

G Schwiete¹, A M Finkel'stein

¹Department of Physics, Texas A&M University, College Station, Texas 77843-4242, USA. schwiete@physics.tamu.edu

Physical Review Letters

|April 7, 2010

Summary

This summary is machine-generated.

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We developed a theory for pulse propagation in disordered nonlinear media, revealing novel "locked explosion" and diffusive collapse phenomena. This nonlinear diffusion equation applies to laser beams and Bose-Einstein condensates in disordered systems.

Area of Science:

Nonlinear physics
Condensed matter physics
Wave propagation

Background:

Pulse propagation in nonlinear and disordered media is complex.
Understanding these dynamics is crucial for applications in optics and quantum systems.

Purpose of the Study:

To develop an effective theory for pulse propagation in two-dimensional nonlinear and disordered media.
To identify and describe novel phenomena arising from the interplay of nonlinearity and disorder.

Main Methods:

Formulation of a nonlinear diffusion equation.
Theoretical analysis of the equation's solutions.

Main Results:

The nonlinear diffusion equation effectively models pulse propagation.

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

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Last Updated: Jun 14, 2026

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

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Novel phenomena termed "locked explosion" and "diffusive collapse" were identified.

The theory predicts distinct behaviors in different physical systems.

Conclusions:

The developed theory provides a unified framework for understanding pulse propagation in complex media.
The identified phenomena have implications for laser beam dynamics and Bose-Einstein condensate behavior in disordered environments.