1993
DOI: 10.1121/1.406417
|View full text |Cite
|
Sign up to set email alerts
|

Anderson localization in the time domain: Numerical studies of waves in two-dimensional disordered media

Abstract: A numerical model for the dynamics of a classical wave equation in a two dimensional Anderson disordered medium is integrated over times of the order of 27000 inverse band widths.Excitations by narrow band sources lead to wave energy densities whose ensemble averages behave diffusively at early times. The behavior at more general times and distances is, however, not diffusive. The observed transport profiles are shown to be inconsistent with predictions from the hydrodynamical continuum model of Anderson local… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

0
7
0

Year Published

1996
1996
2009
2009

Publication Types

Select...
4
1

Relationship

0
5

Authors

Journals

citations
Cited by 5 publications
(7 citation statements)
references
References 20 publications
0
7
0
Order By: Relevance
“…In a second step a strongly scattering cylinder embedded in a homogeneous half‐space is introduced. Finally we apply the time dependent Anderson localization model empirically derived by Weaver [1994].…”
Section: Modelingmentioning
confidence: 99%
“…In a second step a strongly scattering cylinder embedded in a homogeneous half‐space is introduced. Finally we apply the time dependent Anderson localization model empirically derived by Weaver [1994].…”
Section: Modelingmentioning
confidence: 99%
“…The transition between the localized and the extended states in a two-dimensional disordered system is a question of considerable current interest [74]- [76]. It has been conjectured that there could exist the quasi-mobility edge(s) in two-dimensional disordered systems [85], which separate the strongly localized states from the weakly localized states (or power-law localized states).…”
Section: Hexagonal Latticesmentioning
confidence: 99%
“…This field theory (or nonlinear s-model) was later recovered and extended by diagrammatic perturbation techniques [66]. Other important theoretical [67]- [76] and experimental [77]- [86] developments related with the classical wave localization were exhaustively discussed in [3].…”
Section: General Remarksmentioning
confidence: 99%
“…The quantity A(t) has been introduced in [9] as a measure for the presence of Anderson's localization. In the absence of any random perturbation A(t) should grow quadratically in time whereas in the case of the Anderson localization A(t) should grow only linearly (indicating diffusive behavior) and eventually become a constant in time [9,25,27]. …”
Section: 2mentioning
confidence: 99%
“…It has been predicted by P. W. Anderson in the context of (quantum mechanical) electron dynamics [2] but is now regarded as a general wave phenomenon that applies to the transport of electromagnetic or acoustic waves as well, cf. [7,25,27].…”
Section: 2mentioning
confidence: 99%