Richard L. Weaver

Journal Publications

Richard L Weaver, "Ward Identities and the Retrieval of Greens Functions in the Correlations of a Diffuse Field," Wave Motion 45, 596-604 (2008)

Richard L Weaver, "Unitarization of the classical statistical s matrix for systems with localization," Phys. Rev. E 76, 051122 (2007)

Richard L Weaver, Oleg I Lobkis, and Alexey Yamilov, "Entrainment and stimulated emission of auto-oscillators in an acoustic cavity," J Acoust Soc Am 122 3409-18 (2007)

Goutam Ghoshal, Joseph Turner, and Richard Weaver, "Wigner distribution of a transducer beam pattern within a multiple scattering formalism for heterogeneous solids," J Acoust Soc Am 1222009-21 (2007)

P. Gouedard, L. Stehly, F. Brenguier M. Campillo, Y. Colin de Verdiere, E. Larose, L. Margerin, P. Roux, F. J. Sanchez-Sesma, N. M. Shapiro and R. L. Weaver, "Cross-correlation of random fields: mathematical approach and applications," in press Geophys Prospecting(2007)

Richard L Weaver, "Wave Diffusion and Mesoscopic Dynamics, towards a universal time dependent scattering matrix," New J. Phys. 9 art. no 8 (2007); http://stacks.iop.org/1367-2630/9/

A. Yamilov, R. Weaver, and O. Lobkis "UASER: Ultrasound Amplification by Stimulated Emission of Radiation," Photonics Spectra pp90-94 (August 2006)

R. L. Weaver, "Transport and localization amongst coupled substructures," Phys. Rev. E 73, 036610 (2006)

Weaver and Lobkis, "On the line width of the ultrasonic Larsen effect in a reverberant body," J Acoust Soc Am 120, 102-109 (2006)

E. Larose, O.I. Lobkis and R.L. Weaver, "Coherent backscattering of ultrasound without a source," Europhysics Letters, 76, 422-428 (2006)

Alexei Akolzin and Richard L. Weaver, "Wavevector resonance in a nonlinear multi-wavespeed chaotic billiard," Physical Review E 73 025202 (2006)

Eric Larose, Oleg I. Lobkis, and Richard L. Weaver, "Passive correlation imaging of a buried scatterer," J. Acoust. Soc. Am. 119, 3549 (2006)

** Richard L Weaver and Oleg I Lobkis, "Diffuse fields in ultrasonics and seismology," invited for special issue of Geophysics 71 (4): SI5-SI9 (2006)

T. Gorin, T. H. Seligman, and R. L. Weaver, "Scattering fidelity in elastodynamics," Physical Review E 73 015202 (2006) (preprint)

O. I. Lobkis and R. L. Weaver, "Self-Consistent transport dynamics for localized waves," Phys Rev E 71 011112 (2005)

Nicholas Wolff & Richard L Weaver, "Towards a generalized diffusion model for energy flow in complex structures," special issue on 'Uncertainty in Structural Dynamics,' B Mace editor J Sound & Vibr 288 729 (2005)

**Richard L Weaver Perspectives Geophysic, "Information from Seismic Noise," invited, Science 307 1568 (2005)

R. L. Weaver and O. I. Lobkis, "Fluctuations and emergence in diffuse field correlations in open systems," JASA 117 3432-9 (2005)

Nicholas Wolff & Richard L Weaver, "Towards a generalized diffusion model for energy flow in complex structures," JASA 118 222 ( 2005)

R. L. Weaver and O. I. Lobkis, "The mean and variance of diffuse field correlations in finite bodies", The Journal of the Acoustical Society of America, 118, 3447 (2005),

U. Kuhl, H.-J. Stockmann, R. Weaver, "Classical wave experiments on chaotic scattering," J. Phys. A: Math. Gen. 38 10433-10463 (2005)

Vesna Damljanovic and Richard L Weaver, "Experiments on the inverse medium problem for harmonic waves in cylindrical waveguides", J Sound & Vibr 282 341-366 (2005)

J L Wang, N R Sottos and R. L. Weaver, "Tensile and mixed-mode strength of a thin film-substrate interface under laser induced pulse loading," J Mechs Phys Sols 52/5 pp 999-1022 (2004)

Igor Rozhkov, Y Fyodorov and Richard Weaver, "Statistics of transmitted power in multichannel dissipative ergodic structures invariant under time-reversal," Physical Review E 69 036206 (2004)

Vesna Damljanovic and Richard L Weaver, "Elastic Waves in Cylindrical waveguides of arbitrary cross section, dispersion relations," J Acoust Soc Am 115, 1572-1581 (2004)

Vesna Damljanovic and Richard L Weaver, "Elastic Waves in Cylindrical waveguides of arbitrary cross section, forced responses and the inverse problem," J Acoust Soc Am 115, 1582-1591 (2004)

Alexei Akolzin and R Weaver, "Energy Spectrum Evolution of diffuse field in an elastic body caused by weak nonlinearity," Phys. Rev. E 69, 066605 (2004) (preprint)

Alexei Akolzin and R Weaver, "Generalized Berry conjecture and mode correlations in chaotic plates," Phys. Rev.E 70, 046212 (2004)

R. L. Weaver and O. I. Lobkis, "Diffuse waves in open systems and the emergence of the Greens function," J Acoust Soc Am 6, 2731-4 ( 2004)

J L Wang, N R Sottos and R. L. Weaver, "Mixed-mode failure of thin films using laser-generated shear waves," Experimental Mechanics 43 323-330 (2003)

Richard L Weaver and Oleg I Lobkis, "Elastic wave thermal fluctuations, ultrasonic waveforms by correlation of thermal phonons," J Acoust Soc Am. 113, 2611-21 (2003)

J L Wang, R. L. Weaver and N R Sottos, "Laser-Induced Decompression Shock Development in Fused Silica," J Appld Phys, 93 (12): 9529-9536 (2003)

Igor Rozhkov, Y Fyodorov and Richard Weaver, "Statistics of transmitted power in multichannel dissipative ergodic structures," Phys. Rev. E 68, art no 016204 (2003)

Oleg Lobkis and Richard Weaver, "Coda wave interferometry in finite solids, recovery of the P to S Conversion rate in an elastodynamic billiard," Phys. Rev. Lett. 90, 254302 (2003)

Oleg Lobkis, Igor Rozhkov and Richard Weaver, "Non-exponential dissipation in a lossy elastodynamic billiard, comparison with Porter-Thomas and Random Matrix Predictions," Phys. Rev. Lett. 91 art no 194101 (2003)

**J W Wang, R. L. Weaver and N R Sottos, "A Parametric study of laser induced thin film spallation," Experimental Mechanics 42, 74-82 (2002) Winner of Society for Experimental Mechanics' Hetenyi award for Best Research Paper 2002

Oleg I Lobkis and Richard L Weaver, "On the Emergence of the Greens Function in the Correlations of a Diffuse Field; Pulse-Echo using Thermal Phonons," Ultrasonics 40, 435-39 (2002)

Renaud Hennino, Nicolas Trégourès, Nicolaï M Shapiro, Ludovic Margerin, Michel Campillo, Bart A van Tiggelen and Richard L Weaver, "Observation of equipartition of seismic waves," Phys Rev Lett 86 3447-50 (2001)

Oleg Lobkis and Richard Weaver, "Modal Density in an Aluminum Foam," J Acoust Soc Am. 109 2636-2641 (June 2001)

R. L. Weaver, "Equipartition and mean square responses in large undamped structures," J Acoust Soc Am. 110 894-903 (2001)

Oleg I Lobkis and Richard L Weaver, "Ultrasonics without a source, Thermal fluctuation correlations at MHz frequencies," Phys Rev Lett 87 art. no. 134301 (2001)

Richard L Weaver and Oleg I Lobkis, "On the emergence of the Greens function in the correlations of a diffuse field," J Acoust Soc Am. 110, 3011-3017 (2001)

**R. L. Weaver and J. Burkhardt, "Transport in multi-coupled Anderson localizing systems," Chaos, Solitons and Fractals 11, 1611-20 (2000)

Richard L. Weaver and Oleg I. Lobkis, "Temperature Dependence of Diffuse Field Phase," Ultrasonics 38 491-494 (2000)

Stephen Holland, Tadej Kosel, Richard Weaver and Wolfgang Sachse, "Determination of plate source-detector separation from one signal," Ultrasonics 38 620-623 (2000)

Richard L. Weaver and Oleg I. Lobkis, "Anderson Localization in Coupled Reverberation Rooms," J Sound Vibr 231 (4) 1111-1134 (2000)

Richard L. Weaver, Oleg I. Lobkis, "Enhanced Backscattering and Modal Echo of

Reverberant Elastic Waves," Phys Rev Lett 84, 4942-5 (May 22, 2000)

Oleg I. Lobkis, Richard L. Weaver, and Igor Rozhkov, "Power Variances and Decay Curvature in a Reverberant System," J Sound Vibr 237 281-302, (2000)

**Richard L. Weaver, "Surface wave generation by buried forces in a half space," invited paper, The Chinese Journal of Mechanics 16, (2) 73-79 (2000)

Oleg I. Lobkis, Richard L. Weaver, "Complex modes in a reverberant dissipative body," J Acoust Soc Am. 108, 4 1480-1485 (2000)

R. L. Weaver, "Multiple Scattering Theory for a Plate with Sprung Masses, energy flow and diffusion," J Acoust Soc Am. 103, 414-427 (1998)

R.L. Weaver, "Ultrasonics in an aluminum foam," Ultrasonics, 36, 435-442 (1998)

J.A.Turner, M E Chambers, and R. L. Weaver, "Ultrasonic band gaps in aggregates of sintered aluminum beads," Acustica 84, 628-631 (1998)

R. L. Weaver, "Mean and mean square responses of a prototypical master/fuzzy system," J Acoust Soc Am. 101, 1441-49 (1997)

R. L. Weaver, "Multiple Scattering Theory for Mean Responses in a Plate with Sprung Masses," J Acoust Soc Am 101 3466-3474 (1997)

Olivier Legrand, Fabrice Mortessagne, and Richard L Weaver, "Semiclassical analysis of spectral correlations in regular billiards with point scatterers," Phys. Rev E 55, 7741-44 (1997)

Y Zhang and R Weaver, "Leaky Rayleigh wave scattering from elastic media with random microstructures," J.Acoust.Soc.Am. 99,1,88-99 (1996)

J. A. Turner and R.L. Weaver, "Coupling and attenuation of waves in plates by randomly distributed attached impedances," J.Acoust.Soc.Am. 99, 4, 2167-2175 (1996)

J Burkhardt and R Weaver, "Spectral Statistics in damped Systems, Part I. Modal decay rate statistics," J.Acoust.Soc.Am. 100, 1, 320-326 (1996)

J Burkhardt and R Weaver, "Spectral Statistics in damped Systems, Part II. Spectral density fluctuations," J.Acoust.Soc.Am. 100, 1, 327-334 (1996)

R. L. Weaver, "Uniqueness in elastodynamics for systems with nonlocal impedance boundary conditions," J Acoust Soc Am. 100, 3447-3449 (1996)

** R. Weaver, "Localization, scaling, and diffuse transport of wave energy in disordered media," invited paper, in Localization and the Effects of Irregularities in Structures. Applied Mechanics Reviews 49, 111-120 (1996) ( web of science does not find this one)

J. Burkhardt and R. L. Weaver, "The effect of decay rate variability on statistical response predictions in acoustic systems," J. Sound and Vibration 196(2), 147-164 (1996)

J A Turner and R. L. Weaver, "Diffuse Energy propagation on heterogeneous plates: Structural Acoustic Radiative Transfer," J Acoust Soc Am. 100, 3686-3695 (1996)

R. L. Weaver, "The effect of an undamped finite degree of freedo, "fuzzy," substructure: Numerical Solutions and theoretical discussion," J .Acoust.Soc.Am. 100, 3159-3164 (1996)

R.L. Weaver, W.Sachse and K.Y. Kim, "Transient Elastic Waves in a Transversely Isotropic Plate," J. Applied.Mechs 63, 337-346 (1996)

J. A. Turner and R.L. Weaver, "Time Dependence of multiply scattered diffuse ultrasound in polycrystalline media," J. Acoust. Soc. Am. 97, 2639-2644 (1995)

J. A. Turner and R.L. Weaver, "Radiative Transfer of Ultrasound: Effects of a solid/fluid interface," J.Acoust.Soc.Am. 98, 2801-2808 (1995)

J. Sundermeyer and R. Weaver, "On crack identification by nonlinear vibration analysis," J. Sound and Vibration 183, 857-872 (1995)

R.L.Weaver and D. Sornette, "The Range of Spectral Correlations in Psuedointegrable Systems: GOE Statistics in a Rectangular Membrane with a Point Scatterer," Phys Rev E, 52, 3341-50 (1995)

R.L. Weaver and W. Sachse, "Diffusion of ultrasound in a glass bead slurry," J. Acoust. Soc. Am. 97, 2094-2102 (1995)

J. A. Turner and R.L. Weaver, "Radiative Transfer of Ultrasound," J.Acoust.Soc.Am. 96, 3654-74 (1994)

J. A. Turner and R.L. Weaver, "Radiative Transfer of Ultrasound in a Polycrystal," J.Acoust.Soc.Am. 96, 3675-83 (1994)

D. Delande, D. Sornette, and R. Weaver, "A reanalysis of experimental high frequency spectra using periodic orbit theory," J.Acoust.Soc.Am. 96, 1873-1880 (1994)

Y. Zhang and R. Weaver, "Scattering from a thin random fluid layer," J.Acoust.Soc.Am. 96, 1899-1909 (1994)

R. Weaver and J. Burkhardt, "Weak Anderson Localization and Enhanced Backscatter in Reverberation Rooms and Quantum Dots," J. Acoust Soc. Am., 96, 3186-3190 (1994)

R.L. Weaver, "Diffuse Waves on Submerged Thin Shells," J.Acoust.Soc.Am. 95, 857-865 (1994)

R. Weaver and W. Sachse, "Asymptotic Viscoelastic Rays in a Thick Plate," J. Appl. Mechs. 61, 429-433 (1994)

R.L. Weaver, "Anderson Localization in the time domain: Numerical studies of waves in two-dimensional disordered media," Phys Rev B. 49, 5881-5895 (1994.)

R. Weaver, M. Hauser and J. P. Wolfe, "Acoustic Flux Imaging in Anisotropic Media," Zeitschrift fur Physik B 90, 27-46 (1993)

R.L. Weaver, "On Anomalous Diffusivity and Localization of Classical Waves in Disordered Media, The Effect of Dissipation," Phys. Rev. B. 47, 1077-1080 (1993)

G. Romack and R. Weaver, "Monte CaR. L. o Study of multiple scattering of waves in Two-dimensional Random Media," J.Acoust.Soc.Am. 94, 506-513 (1993)

M. Hauser, R. Weaver and J. P. Wolfe, "Internal Diffraction of Ultrasound in Crystals: Phonon Focusing at Long Wavelengths," Phys. Rev. Lett. 68, 2604 (1992)

G. Romack and R. Weaver, "Monte CaR. L. o Studies of Waves in Random Media," J. Acoust. Soc. Am., 87, 487-494 (1990)

R. Weaver, Comments on "The rheology of an anelastic medium as inferred from the splitting of its eigenfrequencies", J. Acoust. Soc. Am., 88, 1642 (1990)

W. Sachse, I. Grabec, B.Castenede, K.Y.Kim and R. Weaver, "Recent Developments in Quantitative Ultrasonic NDE of Composites," Ultrasonics 28, 97-104 (1990).

R. Weaver, "Anderson Localization of Ultrasound," Wave Motion, 12, 129-142(1990)

D.S.Loewenherz, C.J.Lawrence and R. Weaver, "On the Development of Transverse Ridges on Rock Glaciers," J. Glaciology. 35, 383-391 (1990).

R. Weaver, "Diffusivity of Ultrasound in Polycrystals," J. Mechs. and Phys. of Solids. 38, 55-86 (1990).

R. Weaver, "Spectral Statistics in Elastodynamics," J. Acoust. Soc. Am., 85, 1005-1013 (1989)

R. Weaver, "On the Ensemble Variance of Reverberation Room Transfer Functions, The Effect of Spectral Rigidity," J. Sound and Vibr. 130, 487-491 (1989).

R. Weaver, W. Sachse and Lin Niu, "Transient Ultrasonic Waves in a Viscoelastic Plate, Theory," J. Acoust. Soc. Am., 85, 2255-2261 (1989).

R. Weaver, W. Sachse and Lin Niu, "Transient Ultrasonic Waves in a Viscoelastic Plate, Applications to Materials Characterization," J. Acoust. Soc. Am., 85, 2262-2267 (1989).

R. Weaver, "Laboratory Studies of Diffuse Waves in Plates," J. Acoust. Soc. Am., 79, 919-923 (1986).

R. Weaver, "On the Time and Geometry Independence of Elastodynamic Spectral Energy Density," J. Acoust. Soc. Am., 80, 1539-1541 (1986).

R. Weaver, "Causality and Theories of Multiple Scattering in Random Media," Wave Motion, 8, 473-483 (1986)

R. Weaver, "A Variational Principle for Waves in Discrete Random Media," Wave Motion, 7, 105-121 (1985).

R. Weaver, "Diffuse Elastic Waves at a Free Surface," J. Acoust. Soc. Am., 78, 131-136 (1985).

R. Weaver, "Experimental Studies of Diffuse Waves for Source Characterization," J. Acoust. Emiss. 4, S54-S57 (1985).

R. Weaver, "Diffuse Waves in Finite Plates," J. Sound and Vibr., 94, 319-335 (1984)

R. Weaver, "Waves in Random Media," Int. J. Engr. Sci., 22, 1149-1157 (1984)

R. Weaver and Y. -H. Pao, "Axisymmetric Waves Excited by a Point Source in a Plate", J. Appl. Mechs. 49, 821-836 (1982).

R. Weaver and Y. -H. Pao, "Spectra of Transient Waves in Elastic Plates," J. Acoust. Soc. Am. 72, 1933-1941 (1982).

R. Weaver, "On Diffuse Waves in Solid Media," J. Acoust. Soc. Am., 71, 1608-1609 (1982)

R. Weaver, "Comments on 'Elastic Wave Invariants for Acoustic Emission'", J. Acoust. Soc. Am., 72, 1314-1315 (1982).

R. Weaver and Y. -H. Pao, "Kramers-Kronig Relations for Linear Wave Propagation in Homogeneous and Inhomogeneous Media," J. Math. Phys. 22, 1909-1918 (1981).

R. Weaver and Y. -H. Pao, "Multiple Scattering of Waves in IrregulaR. L. y Laminated Composites," J. Appl. Mechs. 47, 833-840 (1980).

R. Weaver and Y. -H. Pa, "Application of the Transition Matrix to a Ribbon-Shaped Scatterer," J. Acoust. Soc. Am., 66, 1199-1206 (1979).

Richard Weaver

University of Illinois

4115 ESB MC 704

Urbana, IL 61801

r-weaver @ illinois.edu

(217) 333 3656

fax: (217) 244 5707

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