Wave dispersion in heterogeneous solids due to scattering within the microstructure is examined. Underlying physics is explored. A theory based on a quasi-harmonic normal model description of the scattering wave energy is developed and compared with phenomenological nonlinear anelasticity models of wave propagation in heterogeneous media.

The wavefunction for indistinguishable fermions is anti-symmetric under particle exchange, which directly leads to the Pauli exclusion principle, and hence underlies the structure of atoms and the properties of almost all materials. In the dynamics of collisions between two indistinguishable fermions, this requirement strictly prohibits scattering into 90° angles. Here we experimentally investi...

When a surface wave interacts with a vertical vortex in shallow water the latter induces a dislocation in the incident wave fronts that is analogous to what happens in the Aharonov-Bohm effect for the scattering of electrons by a confined magnetic field. In addition to this global similarity between these two physical systems there is scattering. This paper reports a detailed calculation of thi...

The general theory of matter field interaction is developed for use with scattering phenomena and applied to Compton scattering, of a photon from an initially stationary electron. The method is based on the ECE wave equation, which defines the R parameter of scattering theory. The wave equation is augmented by the minimal prescription and the relativistic Hamilton Jacobi equation. An expression...

We derive transport equations for the propagation of water wave action in the presence of a static, spatially random surface drift. Using the Wigner distribution W(x,k, t) to represent the envelope of the wave amplitude at position x contained in waves with wavevector k, we describe surface wave transport over static flows consisting of two length scales; one varying smoothly on the wavelength ...

Title of dissertation: WAVE CHAOTIC EXPERIMENTS AND MODELS FOR COMPLICATED WAVE SCATTERING SYSTEMS Jen-Hao Yeh, Doctor of Philosophy, 2013 Dissertation directed by: Professor Steven Anlage Electrical and Computer Engineering Department Wave scattering in a complicated environment is a common challenge in many engineering fields because the complexity makes exact solutions impractical to find, a...

This paper investigates the scattering characteristics of the fundamental anti-symmetric (A(0)) Lamb wave at through holes in composite laminates. Three-dimensional (3D) finite element (FE) simulations and experimental measurements are used to study the physical phenomenon. Unidirectional, bidirectional, and quasi-isotropic composite laminates are considered in the study. The influence of diffe...