Higher order hierarchical discretization scheme for surface integral equations for layered media

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

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This paper presents an efficient technique for the analysis of electromagnetic scattering by arbitrarily shaped perfectly conducting objects in layered media. The technique is based on a higher order method of moments (MoM) solution of the electric field, magnetic field, or combined-field integral equation. This higher order MoM solution comprises higher order curved patches for the geometry modeling and higher order hierarchical basis functions for expansion of the electric surface current density. Due to the hierarchical property of the basis functions, the order of the expansion can be selected separately on each patch depending on the wavelength in the layer in which the patch is located and the size of the patch. In this way, a significant reduction of the number of unknowns is achieved and the same surface mesh can be reused in a wide frequency band. It is shown that even for fairly large problems, the higher order hierarchical MoM requires less memory than existing fast multipole method (FMM) or multilevel FMM implementations.
Original languageEnglish
JournalI E E E Transactions on Geoscience and Remote Sensing
Issue number4
Pages (from-to)764-772
Publication statusPublished - 2004

Bibliographical note

Copyright: 2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE


  • Legendre polynomial
  • electromagnetic scattering
  • method of moments (MoM)
  • Combined-field integral equation (CFIE)
  • higher order hierarchical vector basis functions
  • layered media
  • perfectly conducting (PEC) object

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