Document Type

Thesis

Date of Award

10-31-1993

Degree Name

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

Department

Mathematical Sciences

First Advisor

Michael Blair Porter

Second Advisor

Ellen Livingston

Third Advisor

Gregory A. Kriegsmann

Abstract

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) environments. 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 theoretic 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.

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.