Abstract/Details

A differential forms approach to electromagnetics in anisotropic media


1997 1997

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Abstract (summary)

The behavior of electromagnetic fields in an inhomogeneous, anisotropic medium can be characterized by a tensor Green function for the electric field. In this dissertation, a new formalism for tensor Green functions using the calculus of differential forms is proposed. Using this formalism, the scalar Green function for isotropic media is generalized to an anisotropic, inhomogeneous medium. An integral equation is obtained relating this simpler Green function to the desired Green function for the electric field, generalizing the standard technique for construction of the Green function for the isotropic case from the scalar Green function. This treatment also leads to a new integral equation for the electric field which is a direct generalization of a standard free space result. For the special case of a biaxial medium, a paraxial approximation for the Green function is used to obtain the Gaussian beam solutions. A straightforward analysis breaks down for beams propagating along two singular directions, or optical axes, so these directions are investigated specially. The associated phenomenon of internal conical refraction is known to yield a circular intensity pattern with a dark ring in its center; this analysis predicts the appearance of additional dark rings in the pattern.

Indexing (details)


Subject
Electromagnetism;
Electrical engineering;
Optics
Classification
0607: Electromagnetism
0544: Electrical engineering
0752: Optics
Identifier / keyword
Applied sciences, Pure sciences, Green functions, biaxial medium, conical, inhomogeneous medium, refraction
Title
A differential forms approach to electromagnetics in anisotropic media
Author
Warnick, Karl Foster
Number of pages
148
Publication year
1997
Degree date
1997
School code
0022
Source
DAI-B 58/01, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9780591295405, 0591295407
Advisor
Arnold, David V.
University/institution
Brigham Young University
University location
United States -- Utah
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9720926
ProQuest document ID
304334780
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/304334780
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