Approximate cloaking for the full wave equation via change of variables: The Drude–Lorentz model

Hoai Minh Nguyen, Michael S. Vogelius

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

This paper concerns approximate cloaking by mapping for a full, but scalar wave equation, when one allows for physically relevant frequency dependence of the material properties of the cloak. The paper is a natural continuation of [20], but here we employ the Drude–Lorentz model in the cloaking layer, that is otherwise constructed by an approximate blow up transformation of the type introduced in [10]. The central mathematical problem is to analyze the effect of a small inhomogeneity in the context of this non-local full wave equation.

Original languageEnglish (US)
Pages (from-to)797-836
Number of pages40
JournalJournal des Mathematiques Pures et Appliquees
Volume106
Issue number5
DOIs
StatePublished - Nov 1 2016

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Keywords

  • Approximate cloaking
  • Drude–Lorentz model
  • Small inhomogeneity
  • Wave equation

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