Fast Computation of Layered Media Green's Function via Recursive Taylor Expansion

Keisuke Konno, Qiang Chen, Robert J. Burkholder

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The layered media Green's function (LMGF) is useful as a kernel of the method of moments (MoM) for a thin stratified medium. The self/mutual impedance expression of the MoM in conjunction with the LMGF includes a semi-infinite spectral integral inside the multiple integrals over spatial variables. As a result, computation of impedance matrix entries is quite costly. In this letter, an interpolation method by using the Taylor expansion is proposed. The method precomputes the spectral integral for a single spatial variable. The derivatives in the expansion are found in closed form using the recursive property of the Bessel functions. After that, the precomputed results of the spectral integral are interpolated via the Taylor expansion when the multiple integrals over spatial variables are performed. Due to the proposed method, the spectral integral and multiple integrals over spatial variables are separated from each other, and the resultant CPU time becomes quite manageable for very large problems.

Original languageEnglish
Article number7600425
Pages (from-to)1048-1051
Number of pages4
JournalIEEE Antennas and Wireless Propagation Letters
Volume16
DOIs
Publication statusPublished - 2017

Keywords

  • Bessel function
  • interpolation
  • layered media Green's function (LMGF)
  • method of moments (MoM)
  • Taylor expansion

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'Fast Computation of Layered Media Green's Function via Recursive Taylor Expansion'. Together they form a unique fingerprint.

  • Cite this