Negative Effective Gravity in Water Waves by Periodic Resonator Arrays

Motion-resonant modes of large articulated damped oscillators in waves

“…wave energy conversion. Indeed, many studies have been carried out to investigate the occurrence of resonant amplifications resulting from wave-structure interactions in acoustics (see for example Farhat et al, 2010), optics (see for example Ruan and Fan, 2010) and hydrodynamics (Budal, 1977;Falnes, 1980;Thomas and Evans, 1981;Heathershaw, 1982;Mei et al, 1988Mei et al, , 1994Maniar and Newman, 1997;Sammarco et al, 1997a,b;Porter and Evans, 1999;Hu and Chan, 2005;Adamo and Mei, 2005;Sammarco and Renzi, 2008;Renzi and Sammarco, 2010;Stefanakis et al, 2011;Hu et al, 2011;Dias, 2012, 2013a,b;Renzi et al, 2014a,b). In the latter discipline, a significant effort was directed towards understanding the mechanisms of resonant amplification of water waves impinging on fixed structures, such as periodic bathymetric formations or surface scatterers.…”

Broadband omnidirectional absorption for linear liquid surface wave

“…Using the continuous conditions at the interfaces of r = a and r = b, i.e., the continuities of η and h(∂η/∂r) [20], the coefficients C 0m , A 1m , C 1m , and A 2m can be solved in terms of the incident coefficients A 0m as where…”

“…The OA suggests a variety of potential applications such as wave shielding, energy absorption, and energy collection. The linear liquid surface wave [17][18][19][20][21][22] (LLSW), as another important type of classical waves, also has various interesting physical properties such as superlensing [17], band gap [18,19], negative effective gravity [20], and focusing [22]. Besides, it is well known that rich energy is stored in the LLSW of oceans, which is considered as one of the clean renewable energy to defuse the incoming energy crisis.…”

“…The background region C (r > b) outside the OA is liquid with the constant depth of h 0 . The inner absorptive cavity may be realized by periodic resonator arrays [20] or wave energy devices [23] to absorb the LLSW. In contrast to previous OA for other classes of waves fabricated by complex artificial metamaterials, the LLSW OA is simply filled with regular inviscid liquid with radial depth distribution.…”

Topological helical edge states in water waves over a topographical bottom

“…However, the relevant study in the field of water waves [1][2][3][26][27][28][29][30][31][32][33][34][35][36][37][38][39] is very limited. Until last year, a one-dimensional chain structure was proposed [39], but the transport of wave energy cannot be studied due to the limitation in dimensionality.…”