Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/16335
Title: | Envelope and phase distribution of a resonance transmission through a complex environment |
Authors: | Savin, DV |
Issue Date: | 2018 |
Publisher: | American Physical Society |
Citation: | Physical Review E, 2018, 97 (6), pp. 062202 - 062202 |
Abstract: | A transmission amplitude is considered for quantum or wave transport mediated by a single resonance coupled to the background of many chaotic states. Such a model provides a useful approach to quantify fluctuations in an established signal induced by a complex environment. Applying random matrix theory to the problem, we derive an exact result for the joint distribution of the transmission intensity (envelope) and the transmission phase at arbitrary coupling to the background with finite absorption. The intensity and phase are distributed within a certain region, revealing essential correlations even at strong absorption. In the latter limit, we obtain a simple asymptotic expression that provides a uniformly good approximation of the exact distribution within its whole support, thus going beyond the Rician distribution often used for such purposes. Exact results are also derived for the marginal distribution of the phase, including its limiting forms at weak and strong absorption. |
URI: | http://bura.brunel.ac.uk/handle/2438/16335 |
DOI: | http://dx.doi.org/10.1103/PhysRevE.97.062202 |
ISSN: | http://arxiv.org/abs/1710.11071v2 http://arxiv.org/abs/1710.11071v2 1539-3755 http://dx.doi.org/10.1103/PhysRevE.97.062202 |
Other Identifiers: | http://arxiv.org/abs/1710.11071v2 http://arxiv.org/abs/1710.11071v2 |
Appears in Collections: | Dept of Mathematics Research Papers |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Fulltext.pdf | 2.31 MB | Adobe PDF | View/Open |
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.