Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter II. The full Maxwell equations

by: Habib Ammari, Michael S Vogelius, Darko Volkov

Journal des Mathematiques Pures et Appliques, Vol. 80, No. 8. (October 2001), pp. 769-814.

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Abstract

We consider solutions to the time-harmonic Maxwell Equations. For such solutions we provide a rigorous derivation of the the leading order boundary perturbations resulting from the presence of a finite number of interior inhomogeneities of small diameter. These formulas generalize those by Vogelius and Volkov, where only solutions with "transverse electric" and "transverse magnetic" symmetries were considered. Our formulas may be expected to lead to very effective computational identification algorithms, aimed at determining specific internal features of an object based on electromagnetic boundary measurements.

@article{citeulike:2263580, abstract = {We consider solutions to the time-harmonic Maxwell Equations. For such solutions we provide a rigorous derivation of the the leading order boundary perturbations resulting from the presence of a finite number of interior inhomogeneities of small diameter. These formulas generalize those by Vogelius and Volkov, where only solutions with "transverse electric" and "transverse magnetic" symmetries were considered. Our formulas may be expected to lead to very effective computational identification algorithms, aimed at determining specific internal features of an object based on electromagnetic boundary measurements.}, author = {Ammari, Habib and Vogelius, Michael S. and Volkov, Darko }, citeulike-article-id = {2263580}, doi = {10.1016/S0021-7824(01)01217-X}, journal = {Journal des Mathematiques Pures et Appliques}, keywords = {scattering}, month = {October}, number = {8}, pages = {769--814}, posted-at = {2008-01-20 20:20:19}, priority = {2}, title = {Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter II. The full Maxwell equations}, url = {http://dx.doi.org/10.1016/S0021-7824(01)01217-X}, volume = {80}, year = {2001} }

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TY - JOUR ID - citeulike:2263580 L3 - citeulike-article-id:2263580 TI - Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter II. The full Maxwell equations JF - Journal des Mathematiques Pures et Appliques VL - 80 IS - 8 SP - 769 EP - 814 N2 - We consider solutions to the time-harmonic Maxwell Equations. For such solutions we provide a rigorous derivation of the the leading order boundary perturbations resulting from the presence of a finite number of interior inhomogeneities of small diameter. These formulas generalize those by Vogelius and Volkov, where only solutions with "transverse electric" and "transverse magnetic" symmetries were considered. Our formulas may be expected to lead to very effective computational identification algorithms, aimed at determining specific internal features of an object based on electromagnetic boundary measurements. KW - scattering AU - Ammari, Habib AU - Vogelius, Michael AU - Volkov, Darko PY - 2001/10// UR - http://dx.doi.org/10.1016/S0021-7824(01)01217-X ER -

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