Applying matrix rotation to the three-dimensional low-frequency multilevel fast multipole algorithm

Jun Sheng Zhao, Weng Cho Chew

Research output: Contribution to journalArticlepeer-review

Abstract

The matrix rotation technique is applied to the three-dimensional (3-D) multilevel fast multipole algorithm (MLFMA) at very low frequencies (LF) to save the storage without increasing the order of the floating-point operations. Some symmetrical properties of the translation matrices along the z-direction for the 3-D LF-MLFMA and the static MLFMA are also derived to further reduce the memory requirements. Numerical results shown that the order of errors introduced by the matrix rotation is much smaller than the order of errors from the plain LF-MLFMA or plain static MLFMA. The implementation of the matrix rotation technique does not change the precision order of the LF-MLFMA and the static MLFMA for fixed truncation of multipole expansions.

Original languageEnglish (US)
Pages (from-to)105-110
Number of pages6
JournalMicrowave and Optical Technology Letters
Volume26
Issue number2
DOIs
StatePublished - Jul 20 2000

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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