Predicting the statistics of wave transport through chaotic cavities by the random coupling model: A review and recent progress

G Gradoni, JH Yeh, B **ao, TM Antonsen, SM Anlage… - Wave Motion, 2014 - Elsevier
In this review, a model (the random coupling model) that gives a statistical description of the
coupling of radiation into and out of large enclosures through localized and/or distributed …

Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption

YV Fyodorov, DV Savin… - Journal of Physics A …, 2005 - iopscience.iop.org
We review recent progress in analysing wave scattering in systems with both intrinsic chaos
and/or disorder and internal losses, when the scattering matrix is no longer unitary. By …

Exact relations between multifractal exponents at the Anderson transition

AD Mirlin, YV Fyodorov, A Mildenberger, F Evers - Physical review letters, 2006 - APS
Two exact relations between mutlifractal exponents are shown to hold at the critical point of
the Anderson localization transition. The first relation implies a symmetry of the multifractal …

Experimental investigation of the enhancement factor for microwave irregular networks with preserved and broken time reversal symmetry in the presence of …

M Ławniczak, S Bauch, O Hul, L Sirko - Physical Review E—Statistical …, 2010 - APS
We present the results of the experimental study of the two-port scattering matrix S ̂ elastic
enhancement factor WS, β for microwave irregular networks simulating quantum graphs with …

Investigation of the diagonal elements of the Wigner's reaction matrix for networks with violated time reversal invariance

M Ławniczak, L Sirko - Scientific Reports, 2019 - nature.com
The distributions of the diagonal elements of the Wigner's reaction K ˆ matrix for open
systems with violated time reversal T invariance in the case of large absorption are for the …

Distribution of the local density of states as a criterion for Anderson localization: Numerically exact results for various lattices in two and three dimensions

G Schubert, J Schleede, K Byczuk, H Fehske… - Physical Review B …, 2010 - APS
Numerical approaches to Anderson localization face the problem of having to treat large
localization lengths while being restricted to finite system sizes. We show that by finite-size …

Experimental and numerical investigation of the reflection coefficient and the distributions of Wigner's reaction matrix for irregular graphs with absorption

M Ławniczak, O Hul, S Bauch, P Seba, L Sirko - Physical Review E—Statistical …, 2008 - APS
We present the results of an experimental and numerical study of the distribution of the
reflection coefficient P (R) and the distributions of the imaginary P (v) and the real P (u) parts …

Classical wave experiments on chaotic scattering

U Kuhl, HJ Stöckmann, R Weaver - Journal of Physics A …, 2005 - iopscience.iop.org
We review recent research on the transport properties of classical waves through chaotic
systems with special emphasis on microwaves and sound waves. Inasmuch as these …

Large deviations of the Lyapunov exponent in 2D matrix Langevin dynamics with applications to one-dimensional Anderson localization models

C Monthus - Journal of Statistical Mechanics: Theory and …, 2021 - iopscience.iop.org
For the 2D matrix Langevin dynamics that correspond to the continuous-time limit of the
products of some 2× 2 random matrices, the finite-time Lyapunov exponent can be written as …

Generalized multifractality at spin quantum Hall transition

JF Karcher, N Charles, IA Gruzberg, AD Mirlin - Annals of Physics, 2021 - Elsevier
Generalized multifractality characterizes scaling of eigenstate observables at Anderson-
localization critical points. We explore generalized multifractality in 2D systems, with the …