Broadband Analysis of Multiscale Electromagnetic Problems: Novel Incomplete-Leaf MLFMA for Potential Integral Equations

Khalichi B., ERGÜL Ö. S., Takrimi M., Erturk V. B.

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol.69, no.12, pp.9032-9037, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 69 Issue: 12
  • Publication Date: 2021
  • Doi Number: 10.1109/tap.2021.3090574
  • Journal Name: IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Aerospace Database, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.9032-9037
  • Keywords: Integral equations, Electric potential, Broadband antennas, Statistics, Sociology, Broadband communication, Memory management, Incomplete tree structures, low-frequency breakdown, multilevel fast multipole algorithm (MLFMA), multiscale electromagnetic problems, potential integral equations (PIEs), FAST MULTIPOLE ALGORITHM, EFIE
  • Middle East Technical University Affiliated: Yes

Abstract

Recently introduced incomplete tree structures for the magnetic-field integral equation are modified and used in conjunction with the mixed-form multilevel fast multipole algorithm (MLFMA) to employ a novel broadband incomplete-leaf MLFMA (IL-MLFMA) to the solution of potential integral equations (PIEs) for scattering/radiation from multiscale open and closed surfaces. This population-based algorithm deploys a nonuniform clustering that enables to use deep levels safely and, when necessary, without compromising the accuracy resulting in an improved efficiency and a significant reduction for the memory requirements (order of magnitudes), while the error is controllable. The superiority of the algorithm is demonstrated in several canonical and real-life multiscale geometries.