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

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‐no...

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Bibliographic Details
Published in:Radio science 2004-10, Vol.39 (5), p.n/a
Main Authors: Kim, O. S., Meincke, P., Breinbjerg, O., Jørgensen, E.
Format: Article
Language:English
Subjects:
higher-order hierarchical basis functions
inhomogenous dielectric objects
volume integral equation
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Summary: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.
ISSN:0048-6604
1944-799X
DOI:10.1029/2004RS003041