WAVES 2017 The 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation University of Minnesota, Twin Cities campus May 15−19, 2017 The 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation will be held at the University of Minnesota. This biannual conference series is one of the main venues for dissemination […]
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This work  illustrates the pursuit of a formal two-scale homogenization approach to extract the mean wave motion in bi-periodic solids, including the effect of incipient dispersion. We show that such low-frequency expansion leads to a family of fourth-order PDEs (resembling the phenomenological models of gradient elasticity) whose coefficients derive explicitly from the microstructure.
In this collaborative study  with Ralph Sinkus and Sverre Holm, we demonstrate by experiment and theory the ability of elastic waves to sense random microstructures that are three decades smaller in size than the probing wavelength. Our analysis deploys an extension of the O’Doherty-Anstey (ODA) theory and the fact that interparticle distances in random monosized distributions may […]
In this investigation , we provide theoretical justification of an experimentally-observed ability  of the Topological Sensitivity (TS) indicator to localize near the boundary of a scatterer at high frequencies. The analysis revolves around the use of catastrophe theory and highlights the importance of source aperture in solving inverse scattering problems.
Following a 16-month postdoctoral appointment in the Department of Mathematics at the University of British Columbia, Egor Dontsov has joined the University of Houston, Department of Civil and Environmental Engineering as tenure-track Assistant Professor in September 2015.
S.A. Lambert, S.P. Nasholm, D. Nordsletten, C. Michler, L. Judge, J-M. Serfaty, L. Bliston, B.B. Guzina, S. Holm, and R. Sinkus (2015). “Bridging three orders of magnitude: Multiple scattered waves sense fractal microscopic structures via dispersion”, Phys. Rev. Lett., 118, 094301 (6pp). Article
B.B. Guzina and F. Pourahmadian (2015). “Why the high-frequency inverse scattering by topological sensitivity may work”, Proc. Roy. Soc. A, 471, 20150187 (29 pp). Article
B.B. Guzina, E.V. Dontsov, M. Urban, and M. Fatemi (2015). “The ‘sixth’ sense of ultrasound: probing nonlinear elasticity with acoustic radiation force”, Phys. Med. Biol., 60, 3775-3794. Article
A. Wautier and B.B. Guzina (2015). “On the second-order homogenization of wave motion in periodic media and the sound of a chessboard”, J. Mech. Phys. Solids, 78, 382-414. Article