mdh.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Mathematical Tools Applied in Computational Electromagnetics for a Biomedical Application and Antenna Analysis
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (Mathematics and Applied Mathematics)ORCID iD: 0000-0002-5604-493X
2015 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

To ensure a high level of safety and reliability of electronic/electric systems EMC (electromagnetic compatibility) tests together with computational techniques are used. In this thesis, mathematical modeling and computational electromagnetics are applied to mainly two case studies. In the first case study, electromagnetic modeling of electric networks and antenna structures above, and buried in, the ground are studied. The ground has been modelled either as a perfectly conducting or as a dielectric surface.  The second case study is focused on mathematical modeling and algorithms to solve the direct and inverse electromagnetic scattering problem for providing a model-based illustration technique. This electromagnetic scattering formulation is applied to describe a microwave imaging system called Breast Phantom. The final goal is to simulate and detect cancerous tissues in the human female breast by this microwave technique.  

The common issue in both case studies has been the long computational time required for solving large systems of equations numerically. This problem has been dealt with using approximation methods, numerical analysis, and also parallel processing of numerical data. For the first case study in this thesis, Maxwell’s equations are solved for antenna structures and electronic networks by approximation methods and parallelized algorithms implemented in a LAN (Local Area Network). In addition, PMM (Point-Matching Method) has been used for the cases where the ground is assumed to act like a dielectric surface. For the second case study, FDTD (Finite-Difference Time Domain) method is applied for solving the electromagnetic scattering problem in two dimensions. The parallelized numerical FDTD-algorithm is implemented in both Central Processing Units (CPUs) and Graphics Processing Units (GPUs).

Abstract [sv]

För att säkerställa människors säkerhet och tillförlitligheten hos elektriska/elektroniska system används EMC (elektromagnetisk kompatibilitet)-tester i kombination med matematisk modellering. För att undersöka biologiska vävnaders egenskaper används så kallade elektromagnetiska spridningsmetoder vid sidan om elektromagnetisk modellering. I denna avhandling har matematisk modellering och beräkningsmetoder använts för huvudsakligen två fallstudier. Den första fallstudien handlar om att analysera antennstrukturer och elektriska nät ovanför, och nergrävda i marken. Marken har modellerats antingen som en elektriskt ledande yta eller en dielektrisk yta. Den andra fallstudien fokuserar på matematisk modellering och algoritmer för att lösa ett elektromagnetiskt spridningsproblem för att beskriva en modellbaserad illustrationsteknik. Spridningsformuleringen tillämpas för att modellera ett avbildningssystem som använder mikrovågor, kallat Bröstfantomen. Det slutliga målet är att upptäcka cancervävnader i kvinnobröst genom denna mikrovågsteknik.

Flaskhalsen i de båda fallstudierna har visat sig vara de långa beräkningstider som krävs för att lösa stora numeriska system. För att lösa problemet har approximationsmetoder, numerisk analys och även parallella beräkningar genomförts i detta arbete. För den första fallstudien har Maxwells ekvationer lösts genom CEM (Complex Image Methods) och med parallellisering i ett LAN (Local Area Network). I de fall där marken betraktas som en dielektrisk yta, har PMM (Point-Matching Method) tillämpats. I samband med den andra fallstudien har FDTD (Finite-Difference Time Domain) metoder tillämpats för att lösa ett elektromagnetiskt spridningsproblem i två dimensioner. En parallelliserad FDTD-algoritm har implementerats i både CPU:s (Central Processing Units) och GPU:s (Graphics Processing Units).

Place, publisher, year, edition, pages
Västerås: Mälardalen University , 2015.
Series
Mälardalen University Press Dissertations, ISSN 1651-4238 ; 176
National Category
Mathematics Computational Mathematics Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-27764ISBN: 978-91-7485-200-4 (print)OAI: oai:DiVA.org:mdh-27764DiVA: diva2:799011
Public defence
2015-05-12, Delta, Mälardalens högskola, Västerås, 13:15 (English)
Opponent
Supervisors
Projects
RALF3
Funder
Swedish Foundation for Strategic Research
Available from: 2015-04-02 Created: 2015-03-27 Last updated: 2015-06-29Bibliographically approved
List of papers
1. Antenna analysis using PEEC and the complex image method
Open this publication in new window or tab >>Antenna analysis using PEEC and the complex image method
2006 (English)Conference paper, (Other academic)
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
urn:nbn:se:mdh:diva-27854 (URN)
Conference
Proceedings of the Nordic Antenna Symposium, Linköping, Sweden, 2006
Available from: 2015-04-17 Created: 2015-04-17 Last updated: 2015-04-17Bibliographically approved
2. Optimization of PEEC based electromagneticmodeling code using grid computing
Open this publication in new window or tab >>Optimization of PEEC based electromagneticmodeling code using grid computing
2006 (English)In: Proceedings of the EMC Europe International Symposium on Electromagnetic Compatibility, Barcelona, Spain, 2006, 2006, 45-50 p.Conference paper, (Refereed)
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
urn:nbn:se:mdh:diva-27855 (URN)
Conference
EMC Europe International Symposium on Electromagnetic Compatibility, Barcelona, Spain, 2006
Available from: 2015-04-17 Created: 2015-04-17 Last updated: 2015-04-17Bibliographically approved
3. Sommerfeld’s integrals and Hallen’s integral equation in Data Analysis for Horizontal Dipole Antenna above Real Ground
Open this publication in new window or tab >>Sommerfeld’s integrals and Hallen’s integral equation in Data Analysis for Horizontal Dipole Antenna above Real Ground
2014 (English)In: SMTDA 2014 Proceedings / [ed] Christos H. Skiadas, ISAST: International Society for the Advancement of Science and Technology , 2014, 507-518 p.Conference paper, (Refereed)
Abstract [en]

Increase of the radiation power in different frequency bands during the last decades, has called for a study of harmful effects on the living organisms and electronic equipment of the radio frequency energy. An accurate determination of the near field strength, electric as well as magnetic, in the vicinity of higher-power transmitting antennas is necessary for assessing any possible radiation hazard. In that sense, it is of great importance to account for the influence of the finite ground conductivity on the electromagnetic field structure in the surroundings of these emitters. The estimation of this influence has been intensively studied, and a number of approaches has been applied in that sense, ranging from the exact full-wave based ones to different forms of approximate, less time-consuming, ones. Although the approximate methods introduce a certain level of calculation error, their simplicity is of interest in the electomagnetic compatibility (EMC) studies. For that reason, finding an approximate, but satisfyingly accurate method, applicable to wide range of parameters is often a goal of researches done in this field.

In this paper, the authors perform an analysis of a thin horizontal dipole antenna (HDA) above real ground of known electrical parameters. The approach is based on the electric-field integral equation method, and formulation of the Hallén’s integral equation (HIE). This equation is then solved for the current, which is assumed in a polynomial form, using the point-matching method (PMM). This way obtained system of linear equations involves improper Sommerfeld’s integrals, which express the influence of the real ground and are here solved approximately using simple, so-called OIA and TIA, approximations (one- and two-image approximations). Both types of approximations are in an exponential form, and therefore are similar to those obtained applying the method of images. It should be kept in mind that the goal of this approach is to develop approximations that have a simple form, whose application yields satisfyingly accurate calculations of the Sommerfeld`s type of integrals, and are widely applicable, i.e. their employment is not restricted by the values of electrical parameters of the ground, or the geometry.

Thorough analysis is performed in order to observe the influence of different parameters of the geometry, and the ground, on current distribution and the input impedance/admittance of the HDA in a wide frequency range. Furthermore, the verification of the method is done by comparison to the exact model based on the full-wave theory, and experimental data. Obtained results indicate a possibility of applying the described methodology to inverse problem involving evaluation of electrical parameters of the ground (or detection of ground type change) based on measured input impedance/admittance of the antenna.

Place, publisher, year, edition, pages
ISAST: International Society for the Advancement of Science and Technology, 2014
Keyword
Horizontal dipole antenna, Hallén’s integral equation, Point-matching method, Polynomial current approximation, Real ground, Sommerfeld’s integrals
National Category
Mathematics Computational Mathematics
Research subject
Mathematics/Applied Mathematics
Identifiers
urn:nbn:se:mdh:diva-26057 (URN)978-618-81257-6-6 (ISBN)
Conference
3rd Stochastic Modelling Techniques and Data Analysis International Conference (SMTDA 2014), 11-14 June 2014, Lisbon, Portugal
Projects
RALF3 project funded by the Swedish Foundation for Strategic Research (SSF)EUROWEB Project funded by the Erasmus Mundus Action II programme of the European Commission
Available from: 2014-10-06 Created: 2014-10-06 Last updated: 2016-02-02Bibliographically approved
4. HF Analysis of Thin Horizontal Central-Fed Conductor above Lossy Homogeneous Soil
Open this publication in new window or tab >>HF Analysis of Thin Horizontal Central-Fed Conductor above Lossy Homogeneous Soil
2014 (English)In: IEEE International Symposium on Electromagnetic Compatibility 20 October 2014, 2014, 916-921 p.Conference paper, (Refereed)
Abstract [en]

In this paper, the authors perform HF analysis of a thin horizontal conductor fed in its center, and arbitrarily positioned above lossy homogeneous ground of known electrical parameters. The approach is based on the electric-field integral equation method, and formulation of the Hallén’s integral equation. This equation is then solved for the current using the point-matching method. The Sommerfeld’s integrals that express the influence of the lossy ground, and that appear in these calculations, are solved approximately. Thorough analysis is performed in order to observe the influence of different parameters of the geometry and the ground on current distribution in the specified frequency range. Furthermore, the verification of the method is done by comparison with the exact model based on the full-wave theory.

Keyword
horizontal wire conductor; lossy homogeneous soil; point-matching method; polynomial current approximation; Sommerfeld’s integral
National Category
Mathematics Computational Mathematics
Research subject
Mathematics/Applied Mathematics
Identifiers
urn:nbn:se:mdh:diva-26055 (URN)10.1109/EMCEurope.2014.6931034 (DOI)000364988600167 ()2-s2.0-84908698686 (Scopus ID)9781479932252 (ISBN)
Conference
2014 International Symposium on Electromagnetic Compatibility, EMC Europe 2014; Swedish Exhibition and Congress CentreGothenburg; Sweden; 1 September 2014 through 4 September 2014
Projects
EUROWEB Project funded by the Erasmus Mundus Action II programme of the European Commission (http://www.mrtc.mdh.se/euroweb)RALF3 project funded by the Swedish Foundation for Strategic Research (SSF)
Available from: 2014-10-06 Created: 2014-10-06 Last updated: 2016-01-18Bibliographically approved
5. Analysis of shielded coupled microstrip line with partial dielectric support
Open this publication in new window or tab >>Analysis of shielded coupled microstrip line with partial dielectric support
Show others...
2014 (English)In: 2014 18th International Symposium on Electrical Apparatus and Technologies, SIELA 2014 - Proceedings, IEEE conference proceedings, 2014, Article number 6871881- p.Conference paper (Refereed)
Abstract [en]

A shielded coupled microstrip line with partial dielectric support is analysed using the hybrid boundary element method (HBEM) and the finite difference method (FDM). The HBEM is a combination of the equivalent electrodes method (EEM) and the boundary element method (BEM). The microstrip line characteristic parameters: the effective relative permittivity and the characteristic impedance are deter­mined. “Odd” and “even” modes are taken into account. The results are compared with corresponding ones found in the literature.

Place, publisher, year, edition, pages
IEEE conference proceedings, 2014
Keyword
characteristic impedance; finite difference method (FDM); finite element method (FEM); hybrid boundary element method (HBEM); shielded microstrip line
National Category
Mathematics Computational Mathematics
Research subject
Mathematics/Applied Mathematics
Identifiers
urn:nbn:se:mdh:diva-26058 (URN)10.1109/SIELA.2014.6871881 (DOI)2-s2.0-84906773233 (Scopus ID)978-1-4799-5817-7/14/ (ISBN)
Conference
18th International Symposium on Electrical Apparatus and Technologies, SIELA 2014; Bourgas; Bulgaria; 29 May 2014 through 31 May 2014
Projects
Serbian Ministry of Education and Science in the frame of the project TR 33008EUROWEB Project (http://www.mrtc.mdh.se/euroweb) funded by the Erasmus Mundus Action II programme of the European Commission
Available from: 2014-10-06 Created: 2014-10-06 Last updated: 2015-04-17Bibliographically approved
6. Solution of Two-Dimensional Electromagnetic Scattering Problem by FDTD with Optimal Step Size, Based on a Semi-Norm Analysis
Open this publication in new window or tab >>Solution of Two-Dimensional Electromagnetic Scattering Problem by FDTD with Optimal Step Size, Based on a Semi-Norm Analysis
Show others...
2014 (English)In: 10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 Conference date: 15–18 July 2014 Location: Narvik, Norway ISBN: 978-0-7354-1276-7 Editor: Seenith Sivasundaram Volume number: 1637 Published: 10 december 2014 / [ed] Seenith Sivasundaram, American Institute of Physics (AIP), 2014, 683-690 p.Conference paper (Refereed)
Abstract [en]

To solve the electromagnetic scattering problem in two dimensions, the Finite Difference Time Domain (FDTD)method is used. The order of convergence of the FDTD algorithm, solving the two-dimensional Maxwell’s curl equations,is estimated in two different computer implementations: with and without an obstacle in the numerical domain of the FDTDscheme. This constitutes an electromagnetic scattering problem where a lumped sinusoidal current source, as a source ofelectromagnetic radiation, is included inside the boundary. Confined within the boundary, a specific kind of AbsorbingBoundary Condition (ABC) is chosen and the outside of the boundary is in form of a Perfect Electric Conducting (PEC)surface. Inserted in the computer implementation, a semi-norm has been applied to compare different step sizes in the FDTDscheme. First, the domain of the problem is chosen to be the free-space without any obstacles. In the second part of thecomputer implementations, a PEC surface is included as the obstacle. The numerical instability of the algorithms can berather easily avoided with respect to the Courant stability condition, which is frequently used in applying the general FDTDalgorithm.

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2014
Keyword
Electromagnetic scattering, Maxwell’s equations, Finite Difference Time-Domain (FDTD) method, Courant stability condition, Absorbing boundary condition, point-wise convergence, semi-norm
National Category
Mathematics Computational Mathematics
Research subject
Mathematics/Applied Mathematics
Identifiers
urn:nbn:se:mdh:diva-26059 (URN)10.1063/1.4904639 (DOI)000347812200082 ()978-0-7354-1276-7 (ISBN)
Conference
ICNPAA 2014 World Congress: 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, Narvik, Norway, July 15-18, 2014.
Projects
RALF3, the research project for Embedded High Performance Architecture at Mälardalen University and KK-Stiftelsen (The Swedish Knowledge Foundation)EUROWEB Project funded by the Erasmus Mundus Action II programme of the European Commission, (http://www.mrtc.mdh.se/euroweb)
Funder
Swedish Foundation for Strategic Research
Available from: 2014-10-06 Created: 2014-10-06 Last updated: 2015-04-17Bibliographically approved
7. GPU Implementation of a Biological Electromagnetic Scattering Problem by FDTD
Open this publication in new window or tab >>GPU Implementation of a Biological Electromagnetic Scattering Problem by FDTD
Show others...
2015 (English)In: 16th ASMDA 2015 Conference and Demographics 2015 Proceedings, 2015Conference paper, (Refereed)
National Category
Electrical Engineering, Electronic Engineering, Information Engineering Computational Mathematics
Identifiers
urn:nbn:se:mdh:diva-27856 (URN)
Conference
16th ASMDA Conference, 30 June-4 July 2015, Piraeus, Greece
Available from: 2015-04-17 Created: 2015-04-17 Last updated: 2016-12-12Bibliographically approved

Open Access in DiVA

fulltext(2898 kB)514 downloads
File information
File name FULLTEXT02.pdfFile size 2898 kBChecksum SHA-512
2956a7663fc818053091aaf8820944d0a14391b30f81bd1215b037b527dd3ea2e9691e7bbdc37087006a8e68eb9b7c92eff1a34238490ee2c2abe527031e71ec
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Monsefi, Farid
By organisation
Educational Sciences and Mathematics
MathematicsComputational MathematicsOther Electrical Engineering, Electronic Engineering, Information Engineering

Search outside of DiVA

GoogleGoogle Scholar
Total: 514 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 469 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf