Observation of the focusing of liquid surface waves

Abstract

The transmission properties of liquid surface waves through a biconvex array of rigid cylinders, arranged in a two-dimensional periodic lattice, are studied experimentally and numerically. Both experimental and numerical results show that this biconvex array of rigid cylinders can act as a lens, which can focus plane liquid surface waves in a wide range of frequencies.

Negative Effective Gravity in Water Waves by Periodic Resonator Arrays

“…The effective parameters (g e , h e ) can be different from the values (g, h) of the water without structures (background), resulting in a new type of water-wave refraction [16,17]. However, the effective parameters have the same positive signs as those of the background.…”

“…This dispersion relationship, first derived by Airy in 1841 [3], is valid for various water depths and forms the basis of modern hydrodynamics and ocean engineering [1,2]. Recently, the interaction of water waves and periodic structures, such as rippled bottoms and periodic vertical obstacle arrays, has attracted considerable attention [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. It is found that while the dispersions of water waves can be strongly modified by periodic structures, they remain simple in the long-wavelength range [6][7][8][9][10][11][12][13][14].…”

“…However, the effective parameters have the same positive signs as those of the background. As a result, long water waves can propagate through periodic structures [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] and this is a reason why tsunamis are difficult to block by periodic structures.…”

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.…”

Enhancement of Sea Wave Potential Energy with Under-Sea Periodic Structures: A Simulation and Laboratory Study

“…Therefore, doubling the wave amplitude using the under-sea structure would yield a quadruple increment of the efficiency. Recently, there have been proposals to utilize periodic structures to concentrate light waves, sound waves and water waves [15][16][17][18][19][20][21][22][23][24][25]. In our previous studies, we have pointed out that by optimizing the constraints of periodic arrangement, surface waves can be enhanced when propagating over periodic structures [26].…”