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An inverse scattering problem of estimating the reflection coefficient and the surface impedance from two sets of absolute values of the near field with periodic change is investigated. The problem is formulated in terms of a nonlinear simultaneous equations which is derived from the relation between the two sets of absolute values and the field defined by a finite summation of the modal functions by applying the Fourier analysis. The reflection coefficient is estimated by solving the equations by Newton's method through the successive algorithm with the increment of the number of truncation in the summation one after another. Numerical examples are given and the accuracy of the estimation is discussed.

- Publication
- IEICE TRANSACTIONS on Electronics Vol.E92-C No.1 pp.92-101

- Publication Date
- 2009/01/01

- Publicized

- Online ISSN
- 1745-1353

- DOI
- 10.1587/transele.E92.C.92

- Type of Manuscript
- Special Section PAPER (Special Section on Recent Progress in Electromagnetic Theory and its Application)

- Category

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Michinari SHIMODA, Masazumi MIYOSHI, Kazunori MATSUO, Yoshitada IYAMA, "Estimation of Reflection Coefficient and Surface Impedance from Absolute Values of the Near Field with Periodic Change" in IEICE TRANSACTIONS on Electronics,
vol. E92-C, no. 1, pp. 92-101, January 2009, doi: 10.1587/transele.E92.C.92.

Abstract: An inverse scattering problem of estimating the reflection coefficient and the surface impedance from two sets of absolute values of the near field with periodic change is investigated. The problem is formulated in terms of a nonlinear simultaneous equations which is derived from the relation between the two sets of absolute values and the field defined by a finite summation of the modal functions by applying the Fourier analysis. The reflection coefficient is estimated by solving the equations by Newton's method through the successive algorithm with the increment of the number of truncation in the summation one after another. Numerical examples are given and the accuracy of the estimation is discussed.

URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E92.C.92/_p

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@ARTICLE{e92-c_1_92,

author={Michinari SHIMODA, Masazumi MIYOSHI, Kazunori MATSUO, Yoshitada IYAMA, },

journal={IEICE TRANSACTIONS on Electronics},

title={Estimation of Reflection Coefficient and Surface Impedance from Absolute Values of the Near Field with Periodic Change},

year={2009},

volume={E92-C},

number={1},

pages={92-101},

abstract={An inverse scattering problem of estimating the reflection coefficient and the surface impedance from two sets of absolute values of the near field with periodic change is investigated. The problem is formulated in terms of a nonlinear simultaneous equations which is derived from the relation between the two sets of absolute values and the field defined by a finite summation of the modal functions by applying the Fourier analysis. The reflection coefficient is estimated by solving the equations by Newton's method through the successive algorithm with the increment of the number of truncation in the summation one after another. Numerical examples are given and the accuracy of the estimation is discussed.},

keywords={},

doi={10.1587/transele.E92.C.92},

ISSN={1745-1353},

month={January},}

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TY - JOUR

TI - Estimation of Reflection Coefficient and Surface Impedance from Absolute Values of the Near Field with Periodic Change

T2 - IEICE TRANSACTIONS on Electronics

SP - 92

EP - 101

AU - Michinari SHIMODA

AU - Masazumi MIYOSHI

AU - Kazunori MATSUO

AU - Yoshitada IYAMA

PY - 2009

DO - 10.1587/transele.E92.C.92

JO - IEICE TRANSACTIONS on Electronics

SN - 1745-1353

VL - E92-C

IS - 1

JA - IEICE TRANSACTIONS on Electronics

Y1 - January 2009

AB - An inverse scattering problem of estimating the reflection coefficient and the surface impedance from two sets of absolute values of the near field with periodic change is investigated. The problem is formulated in terms of a nonlinear simultaneous equations which is derived from the relation between the two sets of absolute values and the field defined by a finite summation of the modal functions by applying the Fourier analysis. The reflection coefficient is estimated by solving the equations by Newton's method through the successive algorithm with the increment of the number of truncation in the summation one after another. Numerical examples are given and the accuracy of the estimation is discussed.

ER -