A Fast Computation Technique on the Method of Image Green's Function by a Spectral Domain Periodicity
Summary :
This paper newly proposes a fast computation technique on the method of image Green's function for p-characteristic calculations, when a plane wave with the transverse wavenumber p is incident on a periodic rough surface having perfect conductivity. In the computation of p-characteristics, based on a spectral domain periodicity of the periodic image Green's function, the image integral equation for a given incidence p maintains the same form for other particular incidences except for the excitation term. By means of a quadrature method, such image integral equations lead to matrix equations. Once the first given matrix equation is performed by a solution procedure as calculations of its matrix elements and its inverse matrix, the other matrix equations for other particular incidences no longer need such a solution procedure. Thus, the total CPU time for the computation of p-characteristics is largely reduced in complex shaped surface cases, huge roughness cases or large period cases.
- Publication
- IEICE TRANSACTIONS on Electronics Vol.E101-C No.1 pp.56-64
- Publication Date
- 2018/01/01
- Publicized
- Online ISSN
- 1745-1353
- DOI
- 10.1587/transele.E101.C.56
- Type of Manuscript
- PAPER
- Category
- Electromagnetic Theory
Authors
Yasuhiko TAMURA
Kyoto Institute of Technology
Keyword
Latest Issue
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Yasuhiko TAMURA, "A Fast Computation Technique on the Method of Image Green's Function by a Spectral Domain Periodicity" in IEICE TRANSACTIONS on Electronics,
vol. E101-C, no. 1, pp. 56-64, January 2018, doi: 10.1587/transele.E101.C.56.
Abstract: This paper newly proposes a fast computation technique on the method of image Green's function for p-characteristic calculations, when a plane wave with the transverse wavenumber p is incident on a periodic rough surface having perfect conductivity. In the computation of p-characteristics, based on a spectral domain periodicity of the periodic image Green's function, the image integral equation for a given incidence p maintains the same form for other particular incidences except for the excitation term. By means of a quadrature method, such image integral equations lead to matrix equations. Once the first given matrix equation is performed by a solution procedure as calculations of its matrix elements and its inverse matrix, the other matrix equations for other particular incidences no longer need such a solution procedure. Thus, the total CPU time for the computation of p-characteristics is largely reduced in complex shaped surface cases, huge roughness cases or large period cases.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E101.C.56/_p
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@ARTICLE{e101-c_1_56,
author={Yasuhiko TAMURA, },
journal={IEICE TRANSACTIONS on Electronics},
title={A Fast Computation Technique on the Method of Image Green's Function by a Spectral Domain Periodicity},
year={2018},
volume={E101-C},
number={1},
pages={56-64},
abstract={This paper newly proposes a fast computation technique on the method of image Green's function for p-characteristic calculations, when a plane wave with the transverse wavenumber p is incident on a periodic rough surface having perfect conductivity. In the computation of p-characteristics, based on a spectral domain periodicity of the periodic image Green's function, the image integral equation for a given incidence p maintains the same form for other particular incidences except for the excitation term. By means of a quadrature method, such image integral equations lead to matrix equations. Once the first given matrix equation is performed by a solution procedure as calculations of its matrix elements and its inverse matrix, the other matrix equations for other particular incidences no longer need such a solution procedure. Thus, the total CPU time for the computation of p-characteristics is largely reduced in complex shaped surface cases, huge roughness cases or large period cases.},
keywords={},
doi={10.1587/transele.E101.C.56},
ISSN={1745-1353},
month={January},}
Copy
TY - JOUR
TI - A Fast Computation Technique on the Method of Image Green's Function by a Spectral Domain Periodicity
T2 - IEICE TRANSACTIONS on Electronics
SP - 56
EP - 64
AU - Yasuhiko TAMURA
PY - 2018
DO - 10.1587/transele.E101.C.56
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E101-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 2018
AB - This paper newly proposes a fast computation technique on the method of image Green's function for p-characteristic calculations, when a plane wave with the transverse wavenumber p is incident on a periodic rough surface having perfect conductivity. In the computation of p-characteristics, based on a spectral domain periodicity of the periodic image Green's function, the image integral equation for a given incidence p maintains the same form for other particular incidences except for the excitation term. By means of a quadrature method, such image integral equations lead to matrix equations. Once the first given matrix equation is performed by a solution procedure as calculations of its matrix elements and its inverse matrix, the other matrix equations for other particular incidences no longer need such a solution procedure. Thus, the total CPU time for the computation of p-characteristics is largely reduced in complex shaped surface cases, huge roughness cases or large period cases.
ER -
English
