Bragg scattering of surface gravity waves by a submerged wavy porous plate

Title Scattering of surface waves by a semi-infinite floating elastic plate

water wave scattering by a surface discontinuity over a uniform porous bottom

scattering of an incoming wave train by a discontinuity at the upper surface of the ocean over a uniform porous bottom of finite depth is considered here in the framework of linearized water wave theory. by employing residue calculus method, the reflection and transmission coefficient are obtained. these coefficients are computed numerically for different values of the porosity parameter g and ...

Scattering of Surface Waves

In this chapter the theory of scattering of elastic surface waves is described. Since surface waves are guided along the surface of materials, the scattering properties of surface waves are useful for probing the heterogeneity of the material near the surface as well as perturbations of the free surface. This has applications in the detection of surface defects (Steg and Klemens, 1974) and in s...

Observation of star-shaped surface gravity waves.

We report a new type of standing gravity wave of large amplitude, having alternatively the shape of a star and of a polygon. This wave is observed by means of a laboratory experiment by vertically vibrating a tank. The symmetry of the star (i.e., the number of branches) is independent of the container form and size, and can be changed according to the amplitude and frequency of the vibration. W...

The instability of periodic surface gravity waves

Euler’s equations describe the dynamics of gravity waves on the surface of an ideal fluid with arbitrary depth. In this paper, we discuss the stability of periodic travelling wave solutions to the full set of nonlinear equations via a non-local formulation of the water wave problem, modified from that of Ablowitz, Fokas & Musslimani (J. Fluid Mech., vol. 562, 2006, p. 313), restricted to a one-...