The New Jersey Institute of Technology's
Electronic Theses & Dissertations Project

Title:	Finite-element ray tracing
Author:	Liu, Yong-chun
View Online:	njit-etd1993-114 (v, 40 pages ~ 1.4 MB pdf)
Department:	Department of Mathematics
Degree:	Master of Science
Program:	Applied Mathematics
Document Type:	Thesis
Advisory Committee:	Porter, Michael Blair (Committee chair) Livingston, Ellen (Committee member) Kriegsmann, Gregory A. (Committee member)
Date:	1993-10
Keywords:	Gaussian beams Waves Finite element method
Availability:	Unrestricted
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.