Document Type


Date of Award


Degree Name

Master of Science in Applied Mathematics - (M.S.)


Mathematical Sciences

First Advisor

Michael Blair Porter

Second Advisor

Ellen Livingston

Third Advisor

Gregory A. Kriegsmann


The interesting acoustic modeling problems often push the practical limits of full-wave models. For instance, in acoustic tomography one needs to be able to predict the propagation of an acoustic pulse for successive realizations of 31) environ¬ments. For these types of problems ray methods continue to be attractive because of their speed. Unfortunately, existing codes are prone to a number of implementation difficulties which often degrade their accuracy.

As a result most ray models are actually incapable of producing the ray the¬oretic result. We discuss a. new method for implementing ray theory that uses a. finite-clement formulation. This method is free of artifacts affecting standard ray models and provides excellent agreement with more computationally intensive full-wave models.