Abstract/Details

Theory and application of the recursive Green's function method for analysis of electromagnetic waves in inhomogeneous media


1998 1998

Other formats: Order a copy

Abstract (summary)

A Recursive Green's Function Method (RGFM) that computes the full-wave solution of the scalar Helmholtz equation is presented. RGFM is a numerical method that recursively constructs the Green's function for inhomogeneous domains. This Green's function is subsequently used in the boundary integral technique to calculate the field in and around inhomogenous objects. For one-dimensional problems, RGFM is demonstrated by finding important device characteristics for DFB lasers, including resonant wavelength, threshold gain and spatial hole burning factors. The method is shown to have computational and storage complexities of O(N log2 N) and O(N), respectively, when calculating internal field values and O(N) and O(4) for calculation of external field values. For two-dimensional problems, RGFM is used to analyze scattering by several canonical cylindrical obstacles for both TE and TM waves. Results from bistatic scattering and absorption by these canonical obstacles are presented. The method is shown to have computational and storage complexities of O(N2 ) and O(N1.5), respectively, when calculating internal field values and O(N 1.5) and O(N) when calculating external field values. Application of the two-dimensional RGFM algorithm to slab waveguide analysis is given. A technique combining this analysis with one-dimensional RGFM to analyze the effects of coupling discontinuities in DFB lasers is also presented.

Indexing (details)


Subject
Electrical engineering
Classification
0544: Electrical engineering
Identifier / keyword
Applied sciences, Electromagnetic waves, Green's function, Inhomogeneous media, Lasers
Title
Theory and application of the recursive Green's function method for analysis of electromagnetic waves in inhomogeneous media
Author
Freeze, Jim Dal
Number of pages
135
Publication year
1998
Degree date
1998
School code
0022
Source
DAI-B 60/02, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9780599188686, 0599188685
Advisor
Selfridge, Richard
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
9919778
ProQuest document ID
304419598
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/304419598
Access the complete full text

You can get the full text of this document if it is part of your institution's ProQuest subscription.

Try one of the following:

  • Connect to ProQuest through your library network and search for the document from there.
  • Request the document from your library.
  • Go to the ProQuest login page and enter a ProQuest or My Research username / password.