Method of moments solution of volume integral equations using higher-order hierarchical Legendre basis functions

Oleksiy S. Kim, Erik Jørgensen, Peter Meincke, Olav Breinbjerg

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

An efficient higher-order method of moments (MoM) solution of volume integral equations is presented. The higher-order MoM solution is based on higher-order hierarchical Legendre basis functions and higher-order geometry modeling. An unstructured mesh composed of 8-node trilinear and/or curved 27-node hexahedral elements is used for accurate representation of the scattering dielectric object. The permittivity of the object is allowed to vary continuously as a function of position inside each element. It is shown that the condition number of the resulting MoM matrix is reduced by several orders of magnitude in comparison to existing higher-order hierarchical basis functions. Consequently, an iterative solver can be applied even for high expansion orders. Numerical results demonstrate excellent agreement with the analytical Mie series solution for a dielectric sphere as well as with results obtained by other numerical methods.
Original languageEnglish
JournalRadio Science
Volume39
Issue number5
Pages (from-to)RS5003
ISSN0048-6604
DOIs
Publication statusPublished - 2004

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