IEICE TRANSACTIONS on Electronics
Error Bounds of the Fast Inhomogeneous Plane Wave Algorithm
Summary :
The Green's function of free space for the fast inhomogeneous plane wave algorithm is represented by an integration in the complex plane. The error in the computational process is determined by the number of sampling points, the truncation of the integration path, and the extrapolation. Therefore, the error control method is different from that for the fast multipole method. We will discuss the worst-case interactions of the fast inhomogeneous plane wave algorithm for the box implementation and define the upper and lower bounds of the computational error.
- Publication
- IEICE TRANSACTIONS on Electronics Vol.E92-C No.1 pp.169-172
- Publication Date
- 2009/01/01
- Publicized
- Online ISSN
- 1745-1353
- DOI
- 10.1587/transele.E92.C.169
- Type of Manuscript
- LETTER
- Category
- Electromagnetic Theory
Authors
Keyword
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Shinichiro OHNUKI, "Error Bounds of the Fast Inhomogeneous Plane Wave Algorithm" in IEICE TRANSACTIONS on Electronics,
vol. E92-C, no. 1, pp. 169-172, January 2009, doi: 10.1587/transele.E92.C.169.
Abstract: The Green's function of free space for the fast inhomogeneous plane wave algorithm is represented by an integration in the complex plane. The error in the computational process is determined by the number of sampling points, the truncation of the integration path, and the extrapolation. Therefore, the error control method is different from that for the fast multipole method. We will discuss the worst-case interactions of the fast inhomogeneous plane wave algorithm for the box implementation and define the upper and lower bounds of the computational error.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E92.C.169/_p
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@ARTICLE{e92-c_1_169,
author={Shinichiro OHNUKI, },
journal={IEICE TRANSACTIONS on Electronics},
title={Error Bounds of the Fast Inhomogeneous Plane Wave Algorithm},
year={2009},
volume={E92-C},
number={1},
pages={169-172},
abstract={The Green's function of free space for the fast inhomogeneous plane wave algorithm is represented by an integration in the complex plane. The error in the computational process is determined by the number of sampling points, the truncation of the integration path, and the extrapolation. Therefore, the error control method is different from that for the fast multipole method. We will discuss the worst-case interactions of the fast inhomogeneous plane wave algorithm for the box implementation and define the upper and lower bounds of the computational error.},
keywords={},
doi={10.1587/transele.E92.C.169},
ISSN={1745-1353},
month={January},}
Copy
TY - JOUR
TI - Error Bounds of the Fast Inhomogeneous Plane Wave Algorithm
T2 - IEICE TRANSACTIONS on Electronics
SP - 169
EP - 172
AU - Shinichiro OHNUKI
PY - 2009
DO - 10.1587/transele.E92.C.169
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E92-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 2009
AB - The Green's function of free space for the fast inhomogeneous plane wave algorithm is represented by an integration in the complex plane. The error in the computational process is determined by the number of sampling points, the truncation of the integration path, and the extrapolation. Therefore, the error control method is different from that for the fast multipole method. We will discuss the worst-case interactions of the fast inhomogeneous plane wave algorithm for the box implementation and define the upper and lower bounds of the computational error.
ER -
English
