On the calculation of wave attenuation along rough strings using individual and effective fields

Wave Motion - Tập 85 - Trang 57-66 - 2019
Sebastian Rupprecht1, Luke G. Bennetts2, Malte A. Peter1,3
1Institute of Mathematics, University of Augsburg, 86135 Augsburg, Germany
2School of Mathematical Sciences, University of Adelaide, Adelaide 5005, Australia
3Augsburg Centre for Innovative Technologies, University of Augsburg, 86135 Augsburg, Germany

Tài liệu tham khảo

Sheng, 2006 Bennetts, 2015, Absence of localisation in ocean wave interactions with a rough seabed in intermediate water depth, Q. J. Mech. Appl. Math., 68, 97, 10.1093/qjmam/hbu024 Wu, 1982, Mean field attenuation and amplitude attenuation due to wave scattering, Wave Motion, 4, 305, 10.1016/0165-2125(82)90026-9 Rupprecht, 2017, Effective wave propagation along a rough thin-elastic beam, Wave Motion, 70, 3, 10.1016/j.wavemoti.2016.08.002 Anderson, 1958, Absence of diffusion in certain random lattices, Phys. Rev., 109, 1492, 10.1103/PhysRev.109.1492 Parnell, 2008 Maurel, 2010, Effective propagation in a one-dimensional perturbed periodic structure: comparison of several approaches, Waves Random Complex Media, 20, 634, 10.1080/17455030.2010.494693 Romack, 1990, Monte carlo studies of multiple scattering of waves in one-dimensional random media, J. Acoust. Soc. Am., 87, 487, 10.1121/1.398918 Maurel, 2013, Propagation in one-dimensional crystals with positional and compositional disorder, Eur. Phys. J. B, 86, 486, 10.1140/epjb/e2013-40893-4 Martin, 2014, N masses on an infinite string and related one-dimensional scattering problems, Wave Motion, 51, 296, 10.1016/j.wavemoti.2013.08.005 Bennetts, 2013, Spectral analysis of wave propagation through rows of scatterers via random sampling and a coherent potential approximation, SIAM J. Appl. Math., 73, 1613, 10.1137/120903439 Berry, 1997, Transparent mirrors: rays, waves and localization, Eur. J. Phys., 18, 222, 10.1088/0143-0807/18/3/017 Shinozuka, 1971, Simulation of multivariate and multidimensional random processes, J. Acoust. Soc. Am., 49, 357, 10.1121/1.1912338 Bennetts, 2009, Wave scattering by multiple rows of circular ice floes, J. Fluid Mech., 639, 213, 10.1017/S0022112009991017 Silverman, 1986