Volume Integral Equations for the Study of Electromagnetic Scattering by Bi-anisotropic Objects

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.advisor Ylä-Oijala, Pasi
dc.contributor.advisor Markkanen, Johannes
dc.contributor.author Adil, Muhammad
dc.date.accessioned 2014-01-10T07:38:25Z
dc.date.available 2014-01-10T07:38:25Z
dc.date.issued 2013-10-21
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/12004
dc.description.abstract In this Master’s thesis volume integral equations based on polarization current densities and potentials, i.e. JM-formulation and AVFU-formulation are developed for bianisotropic scatterers. The volume integral equations are discretized and converted into a system of linear equations using the method of moments. The system of equations for the JM-formulation is solved using the generalized minimal residual method (GMRES) and multilevel fast multipole algorithm (MLFMA) is also applied. Whereas the AVFU-formulation is still under development and GMRES and MLFMA are not implemented; thereby limiting the problem domain that can be analysed. Numerical results are compared to existing model problems solved using either the volume integral equations for the fields, i.e. the EH-formulation, flux densities, i.e. the DB-formulation or the Mie series solutions. The scattering cross-section of simple scatterers like an isotropic sphere to complex scatterers like double negative chiral and metamaterial spheres is investigated. From the numerical point of view the essence of JM- and AVFU- formulation is discretization using low order basis functions. The polarization current densities in the JM-formulation are expanded using piecewise constant basis functions and Galerkin’s technique is applied to test the equations. The scalar and vector potentials in the AVFU-formulation are expanded using the scalar interpolatory nodal basis functions and point-matching technique is applied to test the equations. An important purpose of the Master’s thesis is to provide an academic document that can be easily followed to formulate and numerically implement volume integral equations based on fields, flux densities, polarization current densities or potentials. To achieve this goal the overall implementation from scratch is presented for the AVFUformulation. en
dc.format.extent 63+10
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.title Volume Integral Equations for the Study of Electromagnetic Scattering by Bi-anisotropic Objects en
dc.type G2 Pro gradu, diplomityö en
dc.contributor.school Sähkötekniikan korkeakoulu fi
dc.subject.keyword bi-anisotropic scatterers en
dc.subject.keyword GMRES en
dc.subject.keyword MLFMA en
dc.subject.keyword MoM en
dc.subject.keyword polarization current density en
dc.subject.keyword volume integral equation methods en
dc.identifier.urn URN:NBN:fi:aalto-201401101076
dc.programme.major Radio Science and Engineering fi
dc.programme.mcode S-3012 fi
dc.type.ontasot Master's thesis en
dc.type.ontasot Diplomityö fi
dc.contributor.supervisor Sihvola, Ari
dc.programme EST - Master’s Programme in Radio Science and Engineering fi


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