Enhancement of near cloaking for the full maxwell equations

Habib Ammari, Hyeonbae Kang, Hyundae Lee, Mikyoung Lim, Sanghyeon Yu

Research output: Contribution to journalArticlepeer-review

49 Citations (Scopus)

Abstract

Recently published methods for the quasi-static limit of the Helmholtz equation is extended to consider near cloaking for the full Maxwell equations. Effective near cloaking structures are described for the electromagnetic scattering problem at a fixed frequency. These structures are, prior to using the transformation optics, layered structures designed so that their first scattering coefficients vanish. As a result, any target inside the cloaking region has near-zero scattering cross section for a band of frequencies. Analytical results show that this construction significantly enhances the cloaking effect for the full Maxwell equations.

Original languageEnglish
Pages (from-to)2055-2076
Number of pages22
JournalSIAM Journal on Applied Mathematics
Volume73
Issue number6
DOIs
Publication statusPublished - 2013
Externally publishedYes

Keywords

  • Cloaking
  • Maxwell equations
  • Scattering amplitude
  • Scattering coefficients
  • Transformation optics

ASJC Scopus subject areas

  • Applied Mathematics

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