Level set-based topology optimization targeting dielectric resonator-based composite right- and left-handed transmission lines

Shintaro Yamasaki*, Tsuyoshi Nomura, Kazuo Sato, Naobumi Michishita, Yoshihide Yamada, Atsushi Kawamoto

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

In the last decade, metamaterials have been gaining attention and have been investigated because of their unique characteristics, which conventional materials do not have, such as negative refraction indexes. However, it is sometimes difficult to design metamaterials on the basis of experience and theoretical considerations because the relationship between their electromagnetic characteristics and structure is often vague. A mathematical structural design methodology targeting metamaterials may therefore be useful for expanding the engineering applications of metamaterials in industry. In this paper, a new level set-based topology optimization method is proposed for designing composite right- and left-handed transmission lines, each of which consists of a waveguide and periodically located dielectric resonators. Such transmission lines function as a fundamental metamaterial. In the proposed method, the shape and topology of the dielectric resonators are represented by the level set function, and topology optimization problems are formulated on the basis of the level set-based representation.

Original languageEnglish
Pages (from-to)1272-1295
Number of pages24
JournalInternational Journal for Numerical Methods in Engineering
Volume89
Issue number10
DOIs
Publication statusPublished - 2012 Mar 9
Externally publishedYes

Keywords

  • Composite right- and left-handed transmission line
  • Dielectric resonator
  • Electromagnetics
  • Level set method
  • Metamaterial
  • Topology optimization

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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