Elastic Wave Scattering by Periodic Structures of Spherical Objects: Theory and Experiment

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Tailoring Structure‐Borne Sound through Bandgap Engineering in Phononic Crystals and Metamaterials: A Comprehensive Review (2022, methodology): “Time Domain [16,20,24], Multiple Scattering Theory [14,17], and Finite Elements methods [25,28,29].”
A Review of Acoustic Metamaterials and Phononic Crystals (2020, methodology): “Because the plane wave expansion method cannot solve the problem of solid scatterers in a liquid matrix, scholars have proposed a multiple scattering method based on the Korringa-Kohn-Rostoker (KKR) theory in the calculation of the electronic band structure [31].”
Higher order asymptotic homogenization and wave propagation in periodic composite materials (2008, methodology): “Experimental observations of the stop bands in heterogeneous elastic structures have been reported by Tamura et al. (1991), Martı́nez-Sala et al. (1995), Montero de Espinosa et al. (1998), Torres et al. (1999), Liu et al. (2000), Penciu et al. (2000) and Russell et al. (2003).”
Phononic crystals for liquid sensor applications (2009, methodology): “These include the transfer matrix method [37], the FDTD method [38–40] and the layer MST (LMST) for 2D [41] and 3D phononic crystals [31, 42, 43].”
Classical vibrational modes in phononic lattices: theory and experiment (2005, positive): “[13] in order to demonstrate the applicability of the their model based on MS theory.”