Full Range Scattering Estimates and Their Application to Cloaking

Hoai Minh Nguyen; Michael S. Vogelius

doi:10.1007/s00205-011-0459-2

Full Range Scattering Estimates and Their Application to Cloaking

Hoai Minh Nguyen, Michael S. Vogelius

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

We establish very precise estimates for the time harmonic scattering effects of an inhomogeneity. Our estimates are valid at all frequencies, and are independent of the contents of the inhomogeneity. The involved constants are independent of the frequency. We use these estimates to assess the effectivity of approximate electromagnetic cloaks constructed by so called "mapping techniques".

Original language	English (US)
Pages (from-to)	769-807
Number of pages	39
Journal	Archive For Rational Mechanics And Analysis
Volume	203
Issue number	3
DOIs	https://doi.org/10.1007/s00205-011-0459-2
State	Published - Mar 2012

All Science Journal Classification (ASJC) codes

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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10.1007/s00205-011-0459-2

Cite this

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title = "Full Range Scattering Estimates and Their Application to Cloaking",

abstract = "We establish very precise estimates for the time harmonic scattering effects of an inhomogeneity. Our estimates are valid at all frequencies, and are independent of the contents of the inhomogeneity. The involved constants are independent of the frequency. We use these estimates to assess the effectivity of approximate electromagnetic cloaks constructed by so called {"}mapping techniques{"}.",

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AU - Nguyen, Hoai Minh

AU - Vogelius, Michael S.

PY - 2012/3

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N2 - We establish very precise estimates for the time harmonic scattering effects of an inhomogeneity. Our estimates are valid at all frequencies, and are independent of the contents of the inhomogeneity. The involved constants are independent of the frequency. We use these estimates to assess the effectivity of approximate electromagnetic cloaks constructed by so called "mapping techniques".

AB - We establish very precise estimates for the time harmonic scattering effects of an inhomogeneity. Our estimates are valid at all frequencies, and are independent of the contents of the inhomogeneity. The involved constants are independent of the frequency. We use these estimates to assess the effectivity of approximate electromagnetic cloaks constructed by so called "mapping techniques".

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U2 - 10.1007/s00205-011-0459-2

DO - 10.1007/s00205-011-0459-2

M3 - Article

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SP - 769

EP - 807

JO - Archive For Rational Mechanics And Analysis

JF - Archive For Rational Mechanics And Analysis

IS - 3

ER -

Full Range Scattering Estimates and Their Application to Cloaking

Abstract

All Science Journal Classification (ASJC) codes

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