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A level-set procedure for the design of electromagnetic metamaterials.

Authors
  • Zhou, Shiwei
  • Li, Wei
  • Sun, Guangyong
  • Li, Qing
Type
Published Article
Journal
Optics Express
Publisher
The Optical Society
Publication Date
Mar 29, 2010
Volume
18
Issue
7
Pages
6693–6702
Identifiers
DOI: 10.1364/OE.18.006693
PMID: 20389692
Source
Medline
License
Unknown

Abstract

Achieving negative permittivity and negative permeability signifies a key topic of research in the design of metamaterials. This paper introduces a level-set based topology optimization method, in which the interface between the vacuum and metal phases is implicitly expressed by the zero-level contour of a higher dimensional level-set function. Following a sensitivity analysis, the optimization maximizes the objective based on the normal direction of the level-set function and induced current flow, thereby generating the desirable patterns of current flow on metal surface. As a benchmark example, the U-shaped structure and its variations are obtained from the level-set topology optimization. Numerical examples demonstrate that both negative permittivity and negative permeability can be attained.

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