DISCRETE TIME SOLUTION OF PLANE P-SV WAVES IN A PLANE LAYERED MEDIUM by Clint Wellington Frasier Submitted to the Department of Earth and Planetary Sciences in partial fulfillment of the requirement for the degree of Doctor of Philosophy. For plane waves at normal incidence to a layered, elastic medium both the forward and inverse discrete time problems have been previously solved. Here, the fo...

The scattering of water waves by a dock of finite width and infinite length in water of finite depth is solved using the modified residue calculus technique. The problem is formulated for obliquely incident waves and the case of normal incidence is recovered by taking an appropriate limit. Exciting forces and pitching moments are calculated as well as reflection and transmission coefficients. T...

The problem of sound transmission and reflection from unbounded panels of functionally graded materials is studied using an analytical approach. By means of matrix manipulation and Fourier component analysis, the three-dimensional (3-D) governing equations of elastodynamics are converted into a system of ordinary differential equations with variable coefficients in the frequency and wavenumber ...

This is a condensed write-up of a talk delivered at the Ramanujan International Symposium on Kac-Moody Lie algebras and Applications in Chennai in January 2002. The talk introduces special coideal subalgebras of quantum affine algebras which appear in physics when solitons are restricted to live on a half-line by an integrable boundary condition. We review how the quantum affine symmetry determ...

A detailed analysis of the wave-mode structure in a bend and its incorporation into a stable algorithm for calculation of the scattering matrix of the bend is presented. The calculations are based on the modal approach. The stability and precision of the algorithm is numerically and analytically analysed. The algorithm enables precise numerical calculations of scattering across the bend. The re...

We define a bijection that transforms an alternating sign matrix A with one −1 into a pair (N,E) where N is a (so called) neutral alternating sign matrix (with one −1) and E is an integer. The bijection preserves the classical parameters of Mills, Robbins and Rumsey as well as three new parameters (including E). It translates vertical reflection of A into vertical reflection of N . A hidden sym...

The multiple-scattering theory is applied to the de Broglie wave of deuterons inside the palladium film. The formalism for band structure calculation and the reflection and transmission calculations for finite slices is presented. The latter is based on a doublelayer scheme which obtains the reflection and transmission matrix elements for the multiplayer slice from those of a single layer. With...

Wave scattering in chaotic systems with a uniform energy loss (absorption) is considered. Within the random matrix approach we calculate exactly the energy correlation functions of different matrix elements of impedance or scattering matrices for systems with preserved or broken time-reversal symmetry. The obtained results are valid at any number of arbitrary open scattering channels and arbitr...