Ward identities and the retrieval of Green's functions in the correlations of a diffuse field

被引：42

作者：

Weaver, Richard L. ^{[1
]}

机构：

[1] Univ Illinois, Dept Phys, Urbana, IL 61801 USA

来源：

WAVE MOTION | 2008年 / 45卷 / 05期

基金：

美国国家科学基金会;

关键词：

equipartition; diffuse field; random waves; correlation;

D O I：

10.1016/j.wavemoti.2007.07.007

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

That diffuse field correlations are essentially identical to Green's functions is becoming widely accepted. Here, a new derivation is provided for that identity, a derivation that generalizes to a larger variety of wave systems and furthermore permits derivation of other, related but distinct, identities that may be useful. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：596 / 604

页数：9

共 10 条

[1] Recovering the acoustic Green's function from ambient noise cross correlation in an inhomogeneous moving medium [J].

Godin, Oleg A. .

PHYSICAL REVIEW LETTERS, 2006, 97 (05)

[2] On the emergence of the Green's function in the correlations of a diffuse field [J].

Lobkis, OI ;

Weaver, RL .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2001, 110 (06) :3011-3017

[3] Sound waves in rooms [J].

Morse, PM ;

Bolt, RH .

REVIEWS OF MODERN PHYSICS, 1944, 16 (02) :0069-0150

[4] Extracting the Green's function of attenuating heterogeneous acoustic media from uncorrelated waves [J].

Snieder, Roel .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2007, 121 (05) :2637-2643

[5] Retrieving the Green's function of the diffusion equation from the response to a random forcing [J].

Snieder, Roel .

PHYSICAL REVIEW E, 2006, 74 (04)

[6] Retrieving the elastodynamic Green's function of an arbitrary inhomogeneous medium by cross correlation [J].

Wapenaar, K .

PHYSICAL REVIEW LETTERS, 2004, 93 (25)

[7] Nonreciprocal Green's function retrieval by cross correlation [J].

Wapenaar, Kees .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2006, 120 (01) :EL7-EL13

[8] Diffuse fields in open systems and the emergence of the Green's function (L) [J].

Weaver, RL ;

Lobkis, OI .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2004, 116 (05) :2731-2734

[9] Ultrasonics without a source: Thermal fluctuation correlations at MHz frequencies [J].

Weaver, RL ;

Lobkis, OI .

PHYSICAL REVIEW LETTERS, 2001, 87 (13) :1-134301

[10]

2006, GEOPHYSICS, V71, pS1

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