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.
Recommended Citation
Liu, Yong-chun, "Finite-element ray tracing" (1993). Theses. 1783.
https://digitalcommons.njit.edu/theses/1783