Power variances and decay curvature in a reverberant system

Oleg I. Lobkis; Richard L. Weaver; Igor Rozhkov

doi:10.1006/jsvi.2000.3057

Power variances and decay curvature in a reverberant system

Oleg I. Lobkis, Richard L. Weaver, Igor Rozhkov

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

Laboratory measurements of the variance of the power transmission coefficient for ultrasound in a reverberant elastic body are compared with extant theory and found to agree. The theory is then extended to describe the transition between behaviors at low and high modal overlap and to incorporate the effects of decay curvature. The new and more precise theory is found to agree poorly with measurements. Reasons for the poor agreement are discussed; it is concluded that the only viable hypothesis is that mode shape statistics are not described by real Gaussian random functions.

Original language	English (US)
Pages (from-to)	281-302
Number of pages	22
Journal	Journal of Sound and Vibration
Volume	237
Issue number	2
DOIs	https://doi.org/10.1006/jsvi.2000.3057
State	Published - Oct 19 2000

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Acoustics and Ultrasonics
Mechanical Engineering

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10.1006/jsvi.2000.3057

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title = "Power variances and decay curvature in a reverberant system",

abstract = "Laboratory measurements of the variance of the power transmission coefficient for ultrasound in a reverberant elastic body are compared with extant theory and found to agree. The theory is then extended to describe the transition between behaviors at low and high modal overlap and to incorporate the effects of decay curvature. The new and more precise theory is found to agree poorly with measurements. Reasons for the poor agreement are discussed; it is concluded that the only viable hypothesis is that mode shape statistics are not described by real Gaussian random functions.",

author = "Lobkis, {Oleg I.} and Weaver, {Richard L.} and Igor Rozhkov",

note = "Funding Information: The authors thank Oliver Legrand for helpful discussions. This work was supported by the grant number 9701142 from the National Science Foundation.",

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AU - Lobkis, Oleg I.

AU - Weaver, Richard L.

AU - Rozhkov, Igor

N1 - Funding Information: The authors thank Oliver Legrand for helpful discussions. This work was supported by the grant number 9701142 from the National Science Foundation.

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Y1 - 2000/10/19

N2 - Laboratory measurements of the variance of the power transmission coefficient for ultrasound in a reverberant elastic body are compared with extant theory and found to agree. The theory is then extended to describe the transition between behaviors at low and high modal overlap and to incorporate the effects of decay curvature. The new and more precise theory is found to agree poorly with measurements. Reasons for the poor agreement are discussed; it is concluded that the only viable hypothesis is that mode shape statistics are not described by real Gaussian random functions.

AB - Laboratory measurements of the variance of the power transmission coefficient for ultrasound in a reverberant elastic body are compared with extant theory and found to agree. The theory is then extended to describe the transition between behaviors at low and high modal overlap and to incorporate the effects of decay curvature. The new and more precise theory is found to agree poorly with measurements. Reasons for the poor agreement are discussed; it is concluded that the only viable hypothesis is that mode shape statistics are not described by real Gaussian random functions.

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Power variances and decay curvature in a reverberant system

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