Memory efficient method for electromagnetic multi-region models using scattering matrices

C.H.H.M. Custers (Corresponding author), J.W. Jansen, E. Lomonova

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

This paper describes the scattering matrix approach to obtain the solution to electromagnetic field quantities in harmonic multi-layer models. Using this approach, the boundary conditions are solved in such way that the maximum size of any matrix used during the computations is independent of the number of regions defined in the problem. As a result, the method is more memory efficient than classical methods used to solve the boundary conditions. Because electromagnetic sources can be located inside the regions of a configuration, the scattering matrix formulation is developed to incorporate these sources into the solving process. The method is applied to a 3D electromagnetic configuration for verification.
LanguageEnglish
Article number71
Number of pages8
JournalMathematical and Computational Applications
Volume23
Issue number4
DOIs
StatePublished - 9 Nov 2018

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Scattering
Data storage equipment
Boundary conditions
Electromagnetic fields

Cite this

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title = "Memory efficient method for electromagnetic multi-region models using scattering matrices",
abstract = "This paper describes the scattering matrix approach to obtain the solution to electromagnetic field quantities in harmonic multi-layer models. Using this approach, the boundary conditions are solved in such way that the maximum size of any matrix used during the computations is independent of the number of regions defined in the problem. As a result, the method is more memory efficient than classical methods used to solve the boundary conditions. Because electromagnetic sources can be located inside the regions of a configuration, the scattering matrix formulation is developed to incorporate these sources into the solving process. The method is applied to a 3D electromagnetic configuration for verification.",
author = "C.H.H.M. Custers and J.W. Jansen and E. Lomonova",
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Memory efficient method for electromagnetic multi-region models using scattering matrices. / Custers, C.H.H.M. (Corresponding author); Jansen, J.W.; Lomonova, E.

In: Mathematical and Computational Applications, Vol. 23, No. 4, 71, 09.11.2018.

Research output: Contribution to journalArticleAcademicpeer-review

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N2 - This paper describes the scattering matrix approach to obtain the solution to electromagnetic field quantities in harmonic multi-layer models. Using this approach, the boundary conditions are solved in such way that the maximum size of any matrix used during the computations is independent of the number of regions defined in the problem. As a result, the method is more memory efficient than classical methods used to solve the boundary conditions. Because electromagnetic sources can be located inside the regions of a configuration, the scattering matrix formulation is developed to incorporate these sources into the solving process. The method is applied to a 3D electromagnetic configuration for verification.

AB - This paper describes the scattering matrix approach to obtain the solution to electromagnetic field quantities in harmonic multi-layer models. Using this approach, the boundary conditions are solved in such way that the maximum size of any matrix used during the computations is independent of the number of regions defined in the problem. As a result, the method is more memory efficient than classical methods used to solve the boundary conditions. Because electromagnetic sources can be located inside the regions of a configuration, the scattering matrix formulation is developed to incorporate these sources into the solving process. The method is applied to a 3D electromagnetic configuration for verification.

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