# 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

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topVogelius, 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

top- Habib Ammari, Shari Moskow, Michael S. Vogelius, Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume
- Habib Ammari, Shari Moskow, Michael S. Vogelius, Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume
- 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
- Habib Ammari, Hyeonbae Kang, Sur le Problème de Conductivité Inverse
- 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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