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Accurate hybrid techniques for the method of moments in 2D
Linnaeus University, Faculty of Technology, Department of Physics and Electrical Engineering.ORCID iD: 0000-0003-3217-6361
Linnaeus University, Faculty of Technology, Department of Physics and Electrical Engineering.ORCID iD: 0000-0002-5522-0110
2016 (English)In: AEU - International Journal of Electronics and Communications, ISSN 1434-8411, E-ISSN 1618-0399, Vol. 70, no 5, p. 539-543Article in journal (Refereed) Published
Abstract [en]

The integral equations of electromagnetic scattering can be solved numerically by means of the method of moments. This normally leads to a linear system with a dense matrix. Higher order basis functions such as B-splines is a means to improve the accuracy.

For smooth convex scatterers and high frequencies the oscillatory behaviour of the solution can be used to reformulate the integral equation. A sparse matrix can be obtained by modification of the integration path used in the integral equation.This is quite straightforward for the two-dimensional TM case, since the currentdecays rapidly in the shadow in that setting.

In order to increase sparsity and handle the standing waves that are prominent for the TE case, the shadow region can be treated separately, in a hybrid scheme based on \emph{a priory} knowledge about the solution. An accurate method to combine solutions in this hybrid scheme is presented.

Place, publisher, year, edition, pages
Elsevier, 2016. Vol. 70, no 5, p. 539-543
National Category
Telecommunications
Research subject
Physics, Electrotechnology
Identifiers
URN: urn:nbn:se:lnu:diva-34024DOI: 10.1016/j.aeue.2015.12.021ISI: 000373865600003Scopus ID: 2-s2.0-84977878040OAI: oai:DiVA.org:lnu-34024DiVA, id: diva2:714588
Note

Available from: 2014-04-28 Created: 2014-04-28 Last updated: 2017-12-05Bibliographically approved
In thesis
1. Accurate techniques for 2D electromagnetic scattering
Open this publication in new window or tab >>Accurate techniques for 2D electromagnetic scattering
2014 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis consists of three parts. The first part is an introduction and referencessome recent work on 2D electromagnetic scattering problems at high frequencies. It alsopresents the basic integral equation types for impenetrable objects. A brief discussionof the standard elements of the method of moments is followed by summaries of thepapers.Paper I presents an accurate implementation of the method of moments for a perfectlyconducting cylinder. A scaling for the rapid variation of the solution improves accuracy.At high frequencies, the method of moments leads to a large dense system of equations.Sparsity in this system is obtained by modifying the integration path in the integralequation. The modified path reduces the accuracy in the deep shadow.In paper II, a hybrid method is used to handle the standing waves that are prominentin the shadow for the TE case. The shadow region is treated separately, in a hybridscheme based on a priori knowledge about the solution. An accurate method to combinesolutions in this hybrid scheme is presented.

Place, publisher, year, edition, pages
Växjö: Linnaeus University, 2014. p. 12
Keywords
Integral equations, method of moments, sparsity, scaling, shadow boundary, B-S
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
urn:nbn:se:lnu:diva-31523 (URN)
Presentation
2014-01-14, Växjö, 10:15 (English)
Opponent
Supervisors
Available from: 2014-04-28 Created: 2014-01-19 Last updated: 2016-12-20Bibliographically approved

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Sandström, Sven-ErikAkeab, Imad

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