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Mixed-potential integral equation technique for hybrid microstrip-slotline mutli-layered circuits with horizontal and vertical shielding walls

Thesis (MScIng)--University of Stellenbosch, 2003.

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Main Author: Schoeman, Marlize
Other Authors: Meyer, P.
Format: Thesis
Language:en_ZA
Published: Stellenbosch : University of Stellenbosch 2011
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access_status_str Open Access
author Schoeman, Marlize
author2 Meyer, P.
author_browse Meyer, P.
Schoeman, Marlize
author_facet Meyer, P.
Schoeman, Marlize
author_sort Schoeman, Marlize
collection Thesis
dc_rights_str_mv University of Stellenbosch
description Thesis (MScIng)--University of Stellenbosch, 2003.
format Thesis
id oai:scholar.sun.ac.za:10019.1/16425
institution Stellenbosch University (South Africa)
language en_ZA
last_indexed 2026-06-10T12:43:20.403Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository
publishDate 2011
publishDateRange 2011
publishDateSort 2011
publisher Stellenbosch : University of Stellenbosch
publisherStr Stellenbosch : University of Stellenbosch
record_format dspace
source_str SUNScholar — Stellenbosch University Repository
spelling oai:scholar.sun.ac.za:10019.1/16425 Mixed-potential integral equation technique for hybrid microstrip-slotline mutli-layered circuits with horizontal and vertical shielding walls Schoeman, Marlize Meyer, P. University of Stellenbosch. Faculty of Engineering. Dept. of Electrical and Electronic Engineering. Microwave circuits Green's functions Moments method (Statistics) Theses -- Computer science Dissertations -- Computer science Theses -- Electronic engineering Dissertations -- Electronic engineering Thesis (MScIng)--University of Stellenbosch, 2003. ENGLISH ABSTRACT: A complete mixed-potential integral equation formulation for the analysis of arbitrarily shaped scatterers in a planarly layered medium is presented. The integral equation is able to solve for simultaneous electric and magnetic surface currents using a Method of Moments (MoM) procedure. The MoM formulation which was developed uses vector-valued basis functions defined over a triangular mesh and are used to model electric currents on conducting scatterers and magnetic currents on slotline structures. The Green’s functions employed in the analysis were developed for a stratified medium using a Sommerfeld plane wave formulation. The scheme used for filling the method of moments matrix was designed to simultaneously solve multiple problems that are stacked and separated by an infinite conducting ground plane. The filling algorithm also efficiently packs partially symmetric matrices, which are present when solving problems that support a combination of electric and magnetic currents. Several examples are presented to illustrate and validate the analysis method. Numerical predictions of the scattering parameters (both magnitude and phase) show good correspondence with results from literature and measured data. AFRIKAANSE OPSOMMING: ’n Volledige gemengde potensiaal integraalvergelyking formulering vir die analise van stralers van arbitrˆere vorm binne gelaagde strukture word aangebied. Die integraalvergelyking kan gelyktydige elektriese en magnetiese oppervlakstrome oplos deur die Metode van Momente (MoM) te gebruik. Die MoM formulering gebruik vektor basis funksies wat oor ’n driehoekige diskretisering gedefinieer word om elektriese strome op geleidende stralers en magnetiese strome op gleuflyn strukture te modelleer. Die Green’s funksies wat in die analise gebruik word, is ontwikkel vir gelaagde media deur gebruik te maak van Sommerfeld se platvlakgolf formulering. Die metode wat gebruik word om the moment matriks te vul, is ontwerp om meervoudige gestapelde probleme wat deur oneindig geleidende grondvlakke geskei word, gelyktydig op te los. Gedeeltelik simmetriese matrikse word ook effektief gevul. Hierdie matrikse kom voor wanneer probleme ’n kombinasie van elektriese en magnetiese strome ondersteun. Verskeie voorbeelde word gebruik om die analise metode te verifieer. Numeriese voorspellings van strooiparameters (beide grootte en hoek) vergelyk baie goed met resultate en gemete data wat in die literatuur gevind is. iv 2011-09-21T13:16:56Z 2011-09-21T13:16:56Z 2003-12 Thesis http://hdl.handle.net/10019.1/16425 en_ZA University of Stellenbosch xii, 119 leaves application/pdf Stellenbosch : University of Stellenbosch
spellingShingle Microwave circuits
Green's functions
Moments method (Statistics)
Theses -- Computer science
Dissertations -- Computer science
Theses -- Electronic engineering
Dissertations -- Electronic engineering
Schoeman, Marlize
Mixed-potential integral equation technique for hybrid microstrip-slotline mutli-layered circuits with horizontal and vertical shielding walls
title Mixed-potential integral equation technique for hybrid microstrip-slotline mutli-layered circuits with horizontal and vertical shielding walls
title_full Mixed-potential integral equation technique for hybrid microstrip-slotline mutli-layered circuits with horizontal and vertical shielding walls
title_fullStr Mixed-potential integral equation technique for hybrid microstrip-slotline mutli-layered circuits with horizontal and vertical shielding walls
title_full_unstemmed Mixed-potential integral equation technique for hybrid microstrip-slotline mutli-layered circuits with horizontal and vertical shielding walls
title_short Mixed-potential integral equation technique for hybrid microstrip-slotline mutli-layered circuits with horizontal and vertical shielding walls
title_sort mixed potential integral equation technique for hybrid microstrip slotline mutli layered circuits with horizontal and vertical shielding walls
topic Microwave circuits
Green's functions
Moments method (Statistics)
Theses -- Computer science
Dissertations -- Computer science
Theses -- Electronic engineering
Dissertations -- Electronic engineering
url http://hdl.handle.net/10019.1/16425
work_keys_str_mv AT schoemanmarlize mixedpotentialintegralequationtechniqueforhybridmicrostripslotlinemutlilayeredcircuitswithhorizontalandverticalshieldingwalls