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

Simple item page
dc.creatorFyodorov, Y. V.
dc.creatorSavin, D. V.
dc.creatorSommers, H. -J.
dc.date2005-07-01
dc.date2005-12-15
dc.date.accessioned2026-07-07T06:41:15Z
dc.date.available2026-07-07T06:41:15Z
dc.descriptionWe 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 mapping the problem onto a nonlinear supersymmetric sigma-model, we are able to derive closed form analytic expressions for the distribution of reflection probability in a generic disordered system. One of the most important properties resulting from such an analysis is statistical independence between the phase and the modulus of the reflection amplitude in every perfectly open channel. The developed theory has far-reaching consequences for many quantities of interest, including local Green functions and time delays. In particular, we point out the role played by absorption as a sensitive indicator of mechanisms behind the Anderson localisation transition. We also provide a random-matrix-based analysis of S-matrix and impedance correlations for various symmetry classes as well as the distribution of transmitted power for systems with broken time-reversal invariance, completing previous works on the subject. The results can be applied, in particular, to the experimentally accessible impedance and reflection in a microwave or ultrasonic cavity attached to a system of antennas.
dc.description30 pages, 2 figures; review in the Special Issue of J. Phys. A: Math. Gen. on "Trends in Quantum Chaotic Scattering" (published version with updated refs)
dc.identifierhttps://arxiv.org/abs/cond-mat/0507016
dc.identifierhttp://arxiv.org/abs/cond-mat/0507016
dc.identifierJ. Phys. A: Math. Gen. 38, 10731 (2005)
dc.identifierdoi:10.1088/0305-4470/38/49/017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101607
dc.subjectMesoscale and Nanoscale Physics
dc.titleScattering, reflection and impedance of waves in chaotic and disordered systems with absorption
dc.typetext

Files

Collections

arXiv