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Author:Kataja, Juhani
Title:On Numerics of Boundary Integral Equations in Electromagnetic Scattering
Sähkömagnettisen sironnan reunaintegraaliyhtälöiden numeriikasta
Publication type:Master's thesis
Publication year:2008
Pages:(6)+ 52      Language:   eng
Department/School:Elektroniikan, tietoliikenteen ja automaation tiedekunta
Degree programme:Elektroniikan ja sähkötekniikan tutkinto-ohjelma
Main subject:Sähkömagnetiikka   (S-96)
Supervisor:Nikoskinen, Keijo
Instructor:Sarvas, Jukka
Electronic version URL: http://urn.fi/urn:nbn:fi:tkk-012018
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Electronic archive copy is available via Aalto Thesis Database.
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Location:P1 Ark S80     | Archive
Keywords:EFIE
MFIE
CFIE
Müller formulation
antenna shape optimisation
Abstract (eng):The EFIE, MFIE, CFIE and Müller formulations for the surface integral equations were derived from the Stratton-Chu formulas and limit theorem of the double layer potential.
Their numerical implementations were constructed using the RWG-elements in the C-language and MATLAB environments.
EFIE, MFIE and CFIE were applied to a perfectly conducting scatterer, and the Müller formulation to a dielectric one.

The interior resonance problem and low frequency breakdown were rediscovered and the remedies discovered earlier were also presented.

The solver of the scattering problem was used to optimise the directivity of a long patch antenna.
A shape was found that is similar to one found by Landstorfer for a wire antenna and two other shapes that differ noticeably from Landstrofer's antennas.
Abstract (fin):Tässä työssä johdetaan Stratton-Chu kaavoista ja niihin liittyvien potentiaalien raja-arvokaavoista lähtien EFIE, MFIE, CFIE ja Müllerin formulaatiot sähkömagneettisen sironnan integraaliyhtälöille.
Näiden avulla rakennetaan C- ja MATLAB-ympäristössä RWG-elementtejä käyttäen numeeriset ratkaisuohjelmat EFIE, MFIE sekä CFIE-formulaatioille täysjohtavan kappaleen tapauksessa sekä Müllerin formulaatiolle dielektrisen kappaleen tapauksessa.
Tämän toteutuksen avulla tutkitaan eri formulaatioiden käyttäytymistä numeerisesti.

Erityisesti näytettiin numeerisesti pintaintegraaliyhtälöiden sisäresonanssi- ja matalan taajuuden ongelmien esiintyminen.
Lisäksi näytettiin numeerisesti, että nämä ongelmat poistuvat sopivalla formulaatiolla.

Lopuksi sirontayhtälön ratkaisijaa käytettiin pitkän kapean levyantennin muodon optimointiin antennin hyvän suuntaavuuden saavuttamiseksi.
Tuloksena löydettiin muoto, joka on lähellä aikaisemmin tunnettua Landstorferin lanka-antennia sekä kaksi muuta muotoa, jotka poikkeavat huomattavasti Landstorferin antenneista.
ED:2008-09-16
INSSI record number: 36240
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