Power variances and decay curvature in a reverberant system.

被引:43
作者
Lobkis, OI [1 ]
Weaver, RL [1 ]
Rozhkov, I [1 ]
机构
[1] Univ Illinois, Urbana, IL 61801 USA
基金
美国国家科学基金会;
关键词
D O I
10.1006/jsvi.2000.3057
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
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. (C) 2000 Academic Press.
引用
收藏
页码:281 / 302
页数:22
相关论文
共 32 条
[1]   COMMENT ON SPECTRAL STATISTICS IN ELASTODYNAMICS [J].
BOHIGAS, O ;
LEGRAND, O ;
SCHMIT, C ;
SORNETTE, D .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1991, 89 (03) :1456-1458
[2]   CHARACTERIZATION OF CHAOTIC QUANTUM SPECTRA AND UNIVERSALITY OF LEVEL FLUCTUATION LAWS [J].
BOHIGAS, O ;
GIANNONI, MJ ;
SCHMIT, C .
PHYSICAL REVIEW LETTERS, 1984, 52 (01) :1-4
[3]  
BOHIGAS O, 1991, CHAOS QUANTUM PHYSIC, P1
[4]   RANDOM-MATRIX PHYSICS - SPECTRUM AND STRENGTH FLUCTUATIONS [J].
BRODY, TA ;
FLORES, J ;
FRENCH, JB ;
MELLO, PA ;
PANDEY, A ;
WONG, SSM .
REVIEWS OF MODERN PHYSICS, 1981, 53 (03) :385-479
[5]   The effect of decay rate variability on statistical response predictions in acoustic systems [J].
Burkhardt, J ;
Weaver, RL .
JOURNAL OF SOUND AND VIBRATION, 1996, 196 (02) :147-164
[6]   Spectral statistics in damped systems .1. Modal decay rate statistics [J].
Burkhardt, J ;
Weaver, RL .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1996, 100 (01) :320-326
[7]  
BURKHARDT J, 1986, ULTRASONICS, V36, P471
[8]   ON THE CONNECTION BETWEEN QUANTIZATION OF NON-INTEGRABLE SYSTEMS AND STATISTICAL-THEORY OF SPECTRA [J].
CASATI, G ;
VALZGRIS, F ;
GUARNIERI, I .
LETTERE AL NUOVO CIMENTO, 1980, 28 (08) :279-282
[9]   QUANTUM LEVEL STATISTICS OF PSEUDOINTEGRABLE BILLIARDS [J].
CHEON, T ;
COHEN, TD .
PHYSICAL REVIEW LETTERS, 1989, 62 (24) :2769-2772
[10]   THE ENSEMBLE VARIANCE OF RANDOM NOISE IN A REVERBERATION ROOM [J].
DAVY, JL .
JOURNAL OF SOUND AND VIBRATION, 1986, 107 (03) :361-373