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An algorithm is formulated for reconstructing a dielectric cylinder with the use of the T-matrix and the singular value decomposition (SVD) and is discussed through numerical examples under noisy conditions. The algorithm consists of two stages. At the first stage the measured data of scattered waves is transformed into the T-matrix. At the second stage we reconstruct the cylinder from the T-matrix. The singular value decomposition is applied in order to separate the radiating and the nonradiating currents, and the radiating current is directly obtained from the T-matrix. The nonradiating current and the object are reconstructed by decreasing a residual error of the current in the least square approximation, where linear equations are solved repeatedly. Some techniques are used in order to reduce the calculation time and to reduce the effects of noise. Numerical examples show us that the presented approach is simple and numerically feasible, and enables us to reconstruct a large object in a short time.

- Publication
- IEICE TRANSACTIONS on Communications Vol.E93-B No.10 pp.2595-2600

- Publication Date
- 2010/10/01

- Publicized

- Online ISSN
- 1745-1345

- DOI
- 10.1587/transcom.E93.B.2595

- Type of Manuscript
- Special Section PAPER (Special Section on Advanced Technologies in Antennas and Propagation in Conjunction with Main Topics of ISAP2009)

- Category
- Electromagnetic Analysis

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Kenichi ISHIDA, "Reconstruction of a Dielectric Cylinder with the Use of the T-Matrix and the Singular Value Decomposition" in IEICE TRANSACTIONS on Communications,
vol. E93-B, no. 10, pp. 2595-2600, October 2010, doi: 10.1587/transcom.E93.B.2595.

Abstract: An algorithm is formulated for reconstructing a dielectric cylinder with the use of the T-matrix and the singular value decomposition (SVD) and is discussed through numerical examples under noisy conditions. The algorithm consists of two stages. At the first stage the measured data of scattered waves is transformed into the T-matrix. At the second stage we reconstruct the cylinder from the T-matrix. The singular value decomposition is applied in order to separate the radiating and the nonradiating currents, and the radiating current is directly obtained from the T-matrix. The nonradiating current and the object are reconstructed by decreasing a residual error of the current in the least square approximation, where linear equations are solved repeatedly. Some techniques are used in order to reduce the calculation time and to reduce the effects of noise. Numerical examples show us that the presented approach is simple and numerically feasible, and enables us to reconstruct a large object in a short time.

URL: https://global.ieice.org/en_transactions/communications/10.1587/transcom.E93.B.2595/_p

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@ARTICLE{e93-b_10_2595,

author={Kenichi ISHIDA, },

journal={IEICE TRANSACTIONS on Communications},

title={Reconstruction of a Dielectric Cylinder with the Use of the T-Matrix and the Singular Value Decomposition},

year={2010},

volume={E93-B},

number={10},

pages={2595-2600},

abstract={An algorithm is formulated for reconstructing a dielectric cylinder with the use of the T-matrix and the singular value decomposition (SVD) and is discussed through numerical examples under noisy conditions. The algorithm consists of two stages. At the first stage the measured data of scattered waves is transformed into the T-matrix. At the second stage we reconstruct the cylinder from the T-matrix. The singular value decomposition is applied in order to separate the radiating and the nonradiating currents, and the radiating current is directly obtained from the T-matrix. The nonradiating current and the object are reconstructed by decreasing a residual error of the current in the least square approximation, where linear equations are solved repeatedly. Some techniques are used in order to reduce the calculation time and to reduce the effects of noise. Numerical examples show us that the presented approach is simple and numerically feasible, and enables us to reconstruct a large object in a short time.},

keywords={},

doi={10.1587/transcom.E93.B.2595},

ISSN={1745-1345},

month={October},}

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TY - JOUR

TI - Reconstruction of a Dielectric Cylinder with the Use of the T-Matrix and the Singular Value Decomposition

T2 - IEICE TRANSACTIONS on Communications

SP - 2595

EP - 2600

AU - Kenichi ISHIDA

PY - 2010

DO - 10.1587/transcom.E93.B.2595

JO - IEICE TRANSACTIONS on Communications

SN - 1745-1345

VL - E93-B

IS - 10

JA - IEICE TRANSACTIONS on Communications

Y1 - October 2010

AB - An algorithm is formulated for reconstructing a dielectric cylinder with the use of the T-matrix and the singular value decomposition (SVD) and is discussed through numerical examples under noisy conditions. The algorithm consists of two stages. At the first stage the measured data of scattered waves is transformed into the T-matrix. At the second stage we reconstruct the cylinder from the T-matrix. The singular value decomposition is applied in order to separate the radiating and the nonradiating currents, and the radiating current is directly obtained from the T-matrix. The nonradiating current and the object are reconstructed by decreasing a residual error of the current in the least square approximation, where linear equations are solved repeatedly. Some techniques are used in order to reduce the calculation time and to reduce the effects of noise. Numerical examples show us that the presented approach is simple and numerically feasible, and enables us to reconstruct a large object in a short time.

ER -