Application of a Boundary Matching Technique to an Inverse Problem for Circularly Symmetric Objects

Kenichi ISHIDA; Takato KUDOU; Mitsuo TATEIBA

Application of a Boundary Matching Technique to an Inverse Problem for Circularly Symmetric Objects

Kenichi ISHIDA, Takato KUDOU, Mitsuo TATEIBA

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We present a novel algorithm to reconstruct the refractive-index profile of a circularly symmetric object from measurements of the electromagnetic field scattered when the object is illuminated by a plane wave. The reconstruction algorithm is besed on an iterative procedure of matching the scattered field calculated from a certain refractive-index distribution with the measured scattered field on the boundary of the object. In order to estimate the convergence of the reconstruction, the mean square error between the calculated and measured scattered fields is introduced. It is shown through reconstructing several examples of lossy dielectric cylinders that the algorithm is quite stable and is applicable to high-contrasty models in situations where the Born approximation is not valid.

Publication: IEICE TRANSACTIONS on Electronics Vol.E77-C No.11 pp.1837-1840

Publication Date: 1994/11/25

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Type of Manuscript: Special Section LETTER (Special Issue on Electromagnetic Theory)

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Kenichi ISHIDA, Takato KUDOU, Mitsuo TATEIBA, "Application of a Boundary Matching Technique to an Inverse Problem for Circularly Symmetric Objects" in IEICE TRANSACTIONS on Electronics, vol. E77-C, no. 11, pp. 1837-1840, November 1994, doi: .
Abstract: We present a novel algorithm to reconstruct the refractive-index profile of a circularly symmetric object from measurements of the electromagnetic field scattered when the object is illuminated by a plane wave. The reconstruction algorithm is besed on an iterative procedure of matching the scattered field calculated from a certain refractive-index distribution with the measured scattered field on the boundary of the object. In order to estimate the convergence of the reconstruction, the mean square error between the calculated and measured scattered fields is introduced. It is shown through reconstructing several examples of lossy dielectric cylinders that the algorithm is quite stable and is applicable to high-contrasty models in situations where the Born approximation is not valid.
URL: https://globals.ieice.org/en_transactions/electronics/10.1587/e77-c_11_1837/_p

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@ARTICLE{e77-c_11_1837,
author={Kenichi ISHIDA, Takato KUDOU, Mitsuo TATEIBA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Application of a Boundary Matching Technique to an Inverse Problem for Circularly Symmetric Objects},
year={1994},
volume={E77-C},
number={11},
pages={1837-1840},
abstract={We present a novel algorithm to reconstruct the refractive-index profile of a circularly symmetric object from measurements of the electromagnetic field scattered when the object is illuminated by a plane wave. The reconstruction algorithm is besed on an iterative procedure of matching the scattered field calculated from a certain refractive-index distribution with the measured scattered field on the boundary of the object. In order to estimate the convergence of the reconstruction, the mean square error between the calculated and measured scattered fields is introduced. It is shown through reconstructing several examples of lossy dielectric cylinders that the algorithm is quite stable and is applicable to high-contrasty models in situations where the Born approximation is not valid.},
keywords={},
doi={},
ISSN={},
month={November},}

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TY - JOUR
TI - Application of a Boundary Matching Technique to an Inverse Problem for Circularly Symmetric Objects
T2 - IEICE TRANSACTIONS on Electronics
SP - 1837
EP - 1840
AU - Kenichi ISHIDA
AU - Takato KUDOU
AU - Mitsuo TATEIBA
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E77-C
IS - 11
JA - IEICE TRANSACTIONS on Electronics
Y1 - November 1994
AB - We present a novel algorithm to reconstruct the refractive-index profile of a circularly symmetric object from measurements of the electromagnetic field scattered when the object is illuminated by a plane wave. The reconstruction algorithm is besed on an iterative procedure of matching the scattered field calculated from a certain refractive-index distribution with the measured scattered field on the boundary of the object. In order to estimate the convergence of the reconstruction, the mean square error between the calculated and measured scattered fields is introduced. It is shown through reconstructing several examples of lossy dielectric cylinders that the algorithm is quite stable and is applicable to high-contrasty models in situations where the Born approximation is not valid.
ER -