Gaussian beams for surface waves in laterally slowly-varying media

On Slowly Varying Stokes Waves

ON SLOWLY VARYING STOKES WAVES by VINCENT HWA-HING CHU In this thesis investigations are made on the theory of a train of slowly modulated gravity waves propagating over uneven bottom topography. The primary object is to study the interplay of amplitude dispersion the frequency dispersion in waves on the surface of water where the depth is not too shallow compared to a typical wave length. The ...

Mountain Waves and Gaussian Beams

Gaussian beams are approximate solutions to hyperbolic partial differential equations that are concentrated on a curve in space-time. In this paper, we present a method for computing the stationary in time wave field that results from steady air flow over topography as a superposition of Gaussian beams. We derive the system of equations that governs these mountain waves as a linearization of th...

Surface Waves in Laterally Inhomogeneous Regions

Invariants for Strings , Membranes , and Beams of Slowly - Varying Dimensions

Removal of guided waves from seismic data in laterally varying media

A major source of unwanted signals in seismic data recorded for geophysical exploration is the presence of guided waves which are scattered near the surface of the earth. These waves do not contain information on the structure of the deeper subsurface and should therefore be removed. In this paper we derive a method for removing this type of waves based on a modal expansion. The problem of ndin...