A total-field/scattered-field (TF/SF) boundary which is commonly used in the finite-difference time-domain (FDTD) method to illuminate scatterers by plane waves, is developed for use in the constrained interpolation profile (CIP) method. By taking the numerical dispersion into account, the nearly perfect TF/SF boundary can be achieved, which allows us to calculate incident fields containing high frequency components without fictitious scattered fields. First of all, we formulate the TF/SF boundary in the CIP scheme. The numerical dispersion relation is then reviewed. Finally the numerical dispersion is implemented in the TF/SF boundary to estimate deformed incident fields. The performance of the nearly perfect TF/SF boundary is examined by measuring leaked fields in the SF region, and the proposed method drastically diminish the leakage compared with the simple TF/SF boundary.
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Yoshiaki ANDO, Hiroyuki SAITO, Masashi HAYAKAWA, "A Nearly Perfect Total-Field/Scattered-Field Boundary for the One-Dimensional CIP Method" in IEICE TRANSACTIONS on Electronics,
vol. E91-C, no. 10, pp. 1677-1683, October 2008, doi: 10.1093/ietele/e91-c.10.1677.
Abstract: A total-field/scattered-field (TF/SF) boundary which is commonly used in the finite-difference time-domain (FDTD) method to illuminate scatterers by plane waves, is developed for use in the constrained interpolation profile (CIP) method. By taking the numerical dispersion into account, the nearly perfect TF/SF boundary can be achieved, which allows us to calculate incident fields containing high frequency components without fictitious scattered fields. First of all, we formulate the TF/SF boundary in the CIP scheme. The numerical dispersion relation is then reviewed. Finally the numerical dispersion is implemented in the TF/SF boundary to estimate deformed incident fields. The performance of the nearly perfect TF/SF boundary is examined by measuring leaked fields in the SF region, and the proposed method drastically diminish the leakage compared with the simple TF/SF boundary.
URL: https://global.ieice.org/en_transactions/electronics/10.1093/ietele/e91-c.10.1677/_p
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@ARTICLE{e91-c_10_1677,
author={Yoshiaki ANDO, Hiroyuki SAITO, Masashi HAYAKAWA, },
journal={IEICE TRANSACTIONS on Electronics},
title={A Nearly Perfect Total-Field/Scattered-Field Boundary for the One-Dimensional CIP Method},
year={2008},
volume={E91-C},
number={10},
pages={1677-1683},
abstract={A total-field/scattered-field (TF/SF) boundary which is commonly used in the finite-difference time-domain (FDTD) method to illuminate scatterers by plane waves, is developed for use in the constrained interpolation profile (CIP) method. By taking the numerical dispersion into account, the nearly perfect TF/SF boundary can be achieved, which allows us to calculate incident fields containing high frequency components without fictitious scattered fields. First of all, we formulate the TF/SF boundary in the CIP scheme. The numerical dispersion relation is then reviewed. Finally the numerical dispersion is implemented in the TF/SF boundary to estimate deformed incident fields. The performance of the nearly perfect TF/SF boundary is examined by measuring leaked fields in the SF region, and the proposed method drastically diminish the leakage compared with the simple TF/SF boundary.},
keywords={},
doi={10.1093/ietele/e91-c.10.1677},
ISSN={1745-1353},
month={October},}
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TY - JOUR
TI - A Nearly Perfect Total-Field/Scattered-Field Boundary for the One-Dimensional CIP Method
T2 - IEICE TRANSACTIONS on Electronics
SP - 1677
EP - 1683
AU - Yoshiaki ANDO
AU - Hiroyuki SAITO
AU - Masashi HAYAKAWA
PY - 2008
DO - 10.1093/ietele/e91-c.10.1677
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E91-C
IS - 10
JA - IEICE TRANSACTIONS on Electronics
Y1 - October 2008
AB - A total-field/scattered-field (TF/SF) boundary which is commonly used in the finite-difference time-domain (FDTD) method to illuminate scatterers by plane waves, is developed for use in the constrained interpolation profile (CIP) method. By taking the numerical dispersion into account, the nearly perfect TF/SF boundary can be achieved, which allows us to calculate incident fields containing high frequency components without fictitious scattered fields. First of all, we formulate the TF/SF boundary in the CIP scheme. The numerical dispersion relation is then reviewed. Finally the numerical dispersion is implemented in the TF/SF boundary to estimate deformed incident fields. The performance of the nearly perfect TF/SF boundary is examined by measuring leaked fields in the SF region, and the proposed method drastically diminish the leakage compared with the simple TF/SF boundary.
ER -