Electromagnetic analysis of conducting and plasmonic scatterers using theory of characteristic modes

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Journal Title
Journal ISSN
Volume Title
SƤhkƶtekniikan korkeakoulu | Master's thesis
Date
2017-03-13
Department
Major/Subject
Radio Science and Engineering
Mcode
ELEC3038
Degree programme
NanoRad - Masterā€™s Programme in Nano and Radio Sciences (TS2013)
Language
en
Pages
7 + 44
Series
Abstract
The goal of this work was to show how Theory of Characteristic Modes can be used in the characterization of electromagnetic scatterers as well as introduce and formulate a new surface integral equation applicable for modal analysis of multi-layered scatterers. To be able to do this, in this work the problem under inspection is shortly introduced and the reader is then familiarized with the mathematical, physical and numerical basis of surface equivalence representations. Some numerical examples are also introduced, which exist to illustrate the beneļ¬t of modal analysis and are also used to validate the new formulation via comparison to analytical solutions. In the end a working formulation to be used in the modal analysis of multilayered scatterers was found via a systematic application of known theories. The formulations allows also further development and generalization of surface integral representations.

TƤmƤn tyƶn tavoitteena oli esitellƤ karakterististen moodien teorian kƤyttƶƤ sirontaongelmien analysoinnissa. TƤmƤn lisƤksi tyƶn tavoitteena oli esitellƤ ja muodostaa uusi moodianalyysin salliva integraaliyhtƤlƶesitys monikerrosrakenteille. TƤmƤn mahdollistamiseksi tyƶssƤ esitellƤƤn geneerisen sirontehtƤvƤn taustateoria lyhyesti, jonka jƤlkeen lukija perehdytetƤƤn pintaekvivalenssiperiaatteen fyysiseen, matemaattiseen ja numeeriseen perustaan. TyƶssƤ esitellƤƤn myƶs numeerisia tuloksia, joilla korostetaan mooditeorian hyƶtyjƤ sekƤ valitoidaan uusi formulaatio. Tyƶn aikana monikerrosongelmien moodianalyysissa toimiva formulaatio saatiin muodostettua ja validoitua varsin suoraviivaisesti soveltamalla hyvin tunnettuja, aiempia teorioita. Samalla huomattiin, ettƤ uusi ratkaisu kyetƤƤn yleistƤmƤƤn ja/tai soveltamaan varsin suoraviivaisesti myƶs monimutkaisempiin ongelmiin.
Description
Supervisor
Sihvola, Ari
Thesis advisor
YlƤ-Oijala, Pasi
Keywords
electromagnetic scattering, computational electromagnetics, theory of characteristic modes, surface integral equations
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Citation