Back to results

Virginia Tech

A comparison and study of the Born and Rytov expansions

Abstract

dc:description.abstract

Since the introduction of the Born and Rytov approximations for use in random wave propagation some forty years ago, a controversy has boiled over the regions of validity and relative merits of the methods. Although the methods fail for strong fluctuations and distant path lengths, these two perturbation methods are the only approaches available for weak fluctuations in a random in homogeneous media. The approximations have also been applied to the inverse problem for optical and acoustical tomography. The intent of this thesis is to investigate the work of previous authors and attempt to clarify the distinctions of each method. The conclusion will be reached that neither approximation is necessarily better than the other in general for all applications. A careful consideration of the problem following the points given should point towards the use of one approximation over the other.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Electrical Engineering
Department dc:contributor.department
Electrical Engineering
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1993

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Bruce, Matthew F.
Chair dc:contributor.committeechair
  • de Wolf, David A.
Committee members dc:contributor.committeemember
  • Besieris, Ioannis M.
  • Kohler, Werner E.

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en

Identifiers

dc:identifier.*
Dc Identifier Other
etd-11102009-020128
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/45603

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Bruce, Matthew F.. A comparison and study of the Born and Rytov expansions. masters thesis, Virginia Tech, 1993. http://hdl.handle.net/10919/45603