Files in this item

FilesDescriptionFormat

application/pdf

application/pdf3101961.pdf (3MB)Restricted to U of Illinois
(no description provided)PDF

Description

Title:Statistical Properties of Transmission Spectra of Ergodic Wave Billiards: Random Hamiltonian Approach
Author(s):Rozhkov, Igor Sergeevitch
Doctoral Committee Chair(s):Weaver, Richard L.
Department / Program:Theoretical and Applied Mechanics
Discipline:Theoretical and Applied Mechanics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Physics, Acoustics
Abstract:Finally, we considered the experimental realization of the RMT system. We examined the dissipation of diffuse ultrasonic energy in a reverberant body coupled to a waveguide, i.e. in an open ergodic system. A simple model predicts a Porter-Thomas-like distribution of level widths and corresponding nonexponential dissipation, a behavior largely confirmed by measurements. For the case of fully open channels, however, measurements deviate from this model to a statistically significant degree. A supersymmetric calculation is found to model the observed behaviors accurately. In conclusion we discussed a possibility to find a more realistic 'naive' model that takes both the RMT and eigenmode complexity into account, but is less technically involved than the supersymmetry method. Such a modification of the naive approach is likely to be useful in studies of power variance and transient decay in chaotic cavities.
Issue Date:2003
Type:Text
Language:English
Description:79 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.
URI:http://hdl.handle.net/2142/87717
Other Identifier(s):(MiAaPQ)AAI3101961
Date Available in IDEALS:2015-09-28
Date Deposited:2003


This item appears in the following Collection(s)

Item Statistics