Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter

Michael S. Vogelius; Darko Volkov

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 34, Issue: 4, page 723-748
  • ISSN: 0764-583X

Abstract

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We consider solutions to the time-harmonic Maxwell's Equations of a TE (transverse electric) nature. For such solutions we provide a rigorous derivation of the leading order boundary perturbations resulting from the presence of a finite number of interior inhomogeneities of small diameter. We expect that these formulas will form the basis for very effective computational identification algorithms, aimed at determining information about the inhomogeneities from electromagnetic boundary measurements.

How to cite

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Vogelius, Michael S., and Volkov, Darko. "Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter." ESAIM: Mathematical Modelling and Numerical Analysis 34.4 (2010): 723-748. <http://eudml.org/doc/197424>.

@article{Vogelius2010,
abstract = { We consider solutions to the time-harmonic Maxwell's Equations of a TE (transverse electric) nature. For such solutions we provide a rigorous derivation of the leading order boundary perturbations resulting from the presence of a finite number of interior inhomogeneities of small diameter. We expect that these formulas will form the basis for very effective computational identification algorithms, aimed at determining information about the inhomogeneities from electromagnetic boundary measurements. },
author = {Vogelius, Michael S., Volkov, Darko},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Maxwell equations; inverse problems.; inhomogeneities of small diameter; asymptotic formulas; identification problems},
language = {eng},
month = {3},
number = {4},
pages = {723-748},
publisher = {EDP Sciences},
title = {Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter},
url = {http://eudml.org/doc/197424},
volume = {34},
year = {2010},
}

TY - JOUR
AU - Vogelius, Michael S.
AU - Volkov, Darko
TI - Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 34
IS - 4
SP - 723
EP - 748
AB - We consider solutions to the time-harmonic Maxwell's Equations of a TE (transverse electric) nature. For such solutions we provide a rigorous derivation of the leading order boundary perturbations resulting from the presence of a finite number of interior inhomogeneities of small diameter. We expect that these formulas will form the basis for very effective computational identification algorithms, aimed at determining information about the inhomogeneities from electromagnetic boundary measurements.
LA - eng
KW - Maxwell equations; inverse problems.; inhomogeneities of small diameter; asymptotic formulas; identification problems
UR - http://eudml.org/doc/197424
ER -

References

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Citations in EuDML Documents

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  1. Habib Ammari, Shari Moskow, Michael S. Vogelius, Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume
  2. Habib Ammari, Shari Moskow, Michael S. Vogelius, Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume
  3. Mark Asch, Marion Darbas, Jean-Baptiste Duval, Numerical solution of an inverse initial boundary value problem for the wave equation in the presence of conductivity imperfections of small volume
  4. Habib Ammari, Hyeonbae Kang, Sur le Problème de Conductivité Inverse
  5. Mark Asch, Marion Darbas, Jean-Baptiste Duval, Numerical solution of an inverse initial boundary value problem for the wave equation in the presence of conductivity imperfections of small volume

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