Water wave propagation and scattering over topographical bottoms

Abstract

Here I present a general formulation of water wave propagation and scattering over topographical bottoms. A simple equation is found and is compared with existing theories. As an application, the theory is extended to the case of water waves in a column with many cylindrical steps.

References in corpus (2)

• Theoretical analysis of acoustic stop bands in two-dimensional periodic scattering arrays
• Acoustic Attenuation by Two-dimensional Arrays of Rigid Cylinders

Cited by in corpus (8)

• Water waves over a strongly undulating bottom
• Band gaps and localization of water waves over one-dimensional topographical bottoms
• Bandgaps in the propagation and scattering of surface water waves over cylindrical steps
• Gravity waves over topographical bottoms: Comparison with the experiment
• Effects of nonlinearity on Anderson localization of surface gravity waves
• Prediction of interface states in liquid surface waves with one-dimensional modulation
• Frozen water waves over rough topographical bottoms
• Nonlinear dynamics of water waves over nonuniformly periodic bottom