Energy localization in two chaotically coupled systems

Grönqvist, Johan; Guhr, Thomas

doi:10.1103/physreve.71.036214

Cited by 5 publications

(3 citation statements)

References 28 publications

(88 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This was observed by Lobkis and Weaver [176] in a system consisting of two coupled reverberant elastic bodies. It has been analyzed theoretically by Weaver and Lobkis [176] and by Gronqvist and Guhr [177] In a non-lossy system, responses are given simply in terms of real modes and real natural frequencies. Spectra |S ij (ω)| 2 consist of distinct resonances; interpretation of spectra is straightforward.…”

Section: Reflection and Transmission Distributionsmentioning

confidence: 99%

Classical wave experiments on chaotic scattering

Kuhl¹,

Stöckmann²,

Weaver³

2005

J. Phys. A: Math. Gen.

View full text Add to dashboard Cite

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 experiments use antennas or transducers to couple waves into or out of the systems, scattering theory has to be applied for a quantitative interpretation of the measurements. Most experiments concentrate on tests of predictions from random matrix theory and the random plane wave approximation. In all studied examples a quantitative agreement between experiment and theory is achieved. To this end it is necessary, however, to take absorption and imperfect coupling into account, concepts that were ignored in most previous theoretical investigations. Classical phase space signatures of scattering are being examined in a small number of experiments.

show abstract

Section: Reflection and Transmission Distributionsmentioning

confidence: 99%

Classical wave experiments on chaotic scattering

Kuhl¹,

Stöckmann²,

Weaver³

2005

J. Phys. A: Math. Gen.

View full text Add to dashboard Cite

show abstract

“…Enhanced backscatter (EBS -sometimes called weak Anderson localization, and sometimes called elastic enhancement) describes how signal strength backscattered to a source is stronger than otherwise predicted, by factors of two or three [14,18,19,43,56]. Dynamical Anderson localization describes how energy transport between subspaces, whether associated with different angular momenta [57][58][59] or other kinds of subspaces [17,60], must cease at times after the so-called Heisenberg time, regardless of whether or not equipartition has been achieved. EBS is widely discussed.…”

Section: Residual Coherencementioning

confidence: 99%

Diffuse elastic waves in a nearly axisymmetric body: Energy distribution, transport and dynamical localization

Weaver

Yoritomo

Coleman

2017

Eur. Phys. J. Spec. Top.

View full text Add to dashboard Cite

We report measurements and theory on the distribution and evolution of diffuse ultrasonic waves in elastic bodies with weakly broken axisymmetry. Aluminum cylinders with dimensions large compared to wavelength were excited by transient point sources at the center of one of the circular faces. The resulting power spectral density PSD was then examined as a function of time and frequency and position on that face. It was found that the PSD showed a marked concentration at the center at early times, a concentration that subsequently slowly diminished towards a state of uniformity across the face, over times long compared to ultrasonic transit time across the sample. The evolution is attributed to scattering by symmetry breaking heterogeneities. Relaxation did not proceed all the way to uniformity and equipartition, behavior shown to be consistent with Enhanced Backscatter and Dynamical Anderson Localization.

show abstract

“…We refer the reader with particular interest in localization phenomena to the reviews by Guhr et al (1998) focusing on concepts from random matrix theory, (Beenakker 1997) with special emphasis on wave transport and Hodge and Woodhouse (1984) covering localization in elastic media. Some more recent studies on localization and its influence on the description of wave transport through elasto-mechanical systems can be found in Weaver and Burkhardt (2000), Weaver and Lobkis (2000b) and Grönqvist and Guhr (2005). For time resolved studies considering pulse transmission through disorder, quasi-one-dimensional microwave guides, see for example Titov and Beenakker (2000), Schomerus et al (2000Schomerus et al ( , 2001, Chabanov and Genack (2001), Chabanov et al (2004) and references therein.…”

Section: Weak Localization and The Modal Echomentioning

confidence: 99%

Wave chaos in acoustics and elasticity

Tanner¹,

Søndergaard²

2007

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

Interpreting wave phenomena in terms of an underlying ray dynamics adds a new dimension to the analysis of linear wave equations. Forming explicit connections between spectra and wavefunctions on the one hand and the properties of a related ray dynamics on the other hand is a comparatively new research area, especially in elasticity and acoustics. The theory has indeed been developed primarily in a quantum context; it is increasingly becoming clear, however, that important applications lie in the field of mechanical vibrations and acoustics. We provide an overview over basic concepts in this emerging field of wave chaos. This ranges from ray approximations of the Green function to periodic orbit trace formulae and random matrix theory and summarizes the state of the art in applying these ideas in acoustics-both experimentally and from a theoretical/numerical point of view.

show abstract

Energy localization in two chaotically coupled systems

Cited by 5 publications

References 28 publications

Classical wave experiments on chaotic scattering

Classical wave experiments on chaotic scattering

Diffuse elastic waves in a nearly axisymmetric body: Energy distribution, transport and dynamical localization

Wave chaos in acoustics and elasticity

Contact Info

Product

Resources

About