TE Plane Wave Scattering from Periodic Rough Surfaces with Perfect Conductivity: Image Integral Equation of the First Type
Summary :
This paper proposes a novel image integral equation of the first type (IIE-1) for a TE plane wave scattering from periodic rough surfaces with perfect conductivity by means of the method of image Green's function. Since such an IIE-1 is valid for any incident wavenumbers including the critical wavenumbers, the analytical properties of the scattered wavefield can be generally and rigorously discussed. This paper firstly points out that the branch point singularity of the bare propagator inevitably appears on the incident wavenumber characteristics of the scattered wavefield and its related quantities just at the critical wavenumbers. By applying a quadrature method, the IIE-1 becomes a matrix equation to be numerically solved. For a periodic rough surface, several properties of the scattering are shown in figures as functions of the incident wavenumbers. It is then confirmed that the branch point singularity clearly appears in the numerical solution. Moreover, it is shown that the proposed IIE-1 gives a numerical solution satisfying sufficiently the optical theorem even for the critical wavenumbers.
- Publication
- IEICE TRANSACTIONS on Electronics Vol.E99-C No.2 pp.266-274
- Publication Date
- 2016/02/01
- Publicized
- Online ISSN
- 1745-1353
- DOI
- 10.1587/transele.E99.C.266
- Type of Manuscript
- PAPER
- Category
- Electromagnetic Theory
Authors
Yasuhiko TAMURA
Kyoto Institute of Technology
Keyword
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Yasuhiko TAMURA, "TE Plane Wave Scattering from Periodic Rough Surfaces with Perfect Conductivity: Image Integral Equation of the First Type" in IEICE TRANSACTIONS on Electronics,
vol. E99-C, no. 2, pp. 266-274, February 2016, doi: 10.1587/transele.E99.C.266.
Abstract: This paper proposes a novel image integral equation of the first type (IIE-1) for a TE plane wave scattering from periodic rough surfaces with perfect conductivity by means of the method of image Green's function. Since such an IIE-1 is valid for any incident wavenumbers including the critical wavenumbers, the analytical properties of the scattered wavefield can be generally and rigorously discussed. This paper firstly points out that the branch point singularity of the bare propagator inevitably appears on the incident wavenumber characteristics of the scattered wavefield and its related quantities just at the critical wavenumbers. By applying a quadrature method, the IIE-1 becomes a matrix equation to be numerically solved. For a periodic rough surface, several properties of the scattering are shown in figures as functions of the incident wavenumbers. It is then confirmed that the branch point singularity clearly appears in the numerical solution. Moreover, it is shown that the proposed IIE-1 gives a numerical solution satisfying sufficiently the optical theorem even for the critical wavenumbers.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E99.C.266/_p
Copy
@ARTICLE{e99-c_2_266,
author={Yasuhiko TAMURA, },
journal={IEICE TRANSACTIONS on Electronics},
title={TE Plane Wave Scattering from Periodic Rough Surfaces with Perfect Conductivity: Image Integral Equation of the First Type},
year={2016},
volume={E99-C},
number={2},
pages={266-274},
abstract={This paper proposes a novel image integral equation of the first type (IIE-1) for a TE plane wave scattering from periodic rough surfaces with perfect conductivity by means of the method of image Green's function. Since such an IIE-1 is valid for any incident wavenumbers including the critical wavenumbers, the analytical properties of the scattered wavefield can be generally and rigorously discussed. This paper firstly points out that the branch point singularity of the bare propagator inevitably appears on the incident wavenumber characteristics of the scattered wavefield and its related quantities just at the critical wavenumbers. By applying a quadrature method, the IIE-1 becomes a matrix equation to be numerically solved. For a periodic rough surface, several properties of the scattering are shown in figures as functions of the incident wavenumbers. It is then confirmed that the branch point singularity clearly appears in the numerical solution. Moreover, it is shown that the proposed IIE-1 gives a numerical solution satisfying sufficiently the optical theorem even for the critical wavenumbers.},
keywords={},
doi={10.1587/transele.E99.C.266},
ISSN={1745-1353},
month={February},}
Copy
TY - JOUR
TI - TE Plane Wave Scattering from Periodic Rough Surfaces with Perfect Conductivity: Image Integral Equation of the First Type
T2 - IEICE TRANSACTIONS on Electronics
SP - 266
EP - 274
AU - Yasuhiko TAMURA
PY - 2016
DO - 10.1587/transele.E99.C.266
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E99-C
IS - 2
JA - IEICE TRANSACTIONS on Electronics
Y1 - February 2016
AB - This paper proposes a novel image integral equation of the first type (IIE-1) for a TE plane wave scattering from periodic rough surfaces with perfect conductivity by means of the method of image Green's function. Since such an IIE-1 is valid for any incident wavenumbers including the critical wavenumbers, the analytical properties of the scattered wavefield can be generally and rigorously discussed. This paper firstly points out that the branch point singularity of the bare propagator inevitably appears on the incident wavenumber characteristics of the scattered wavefield and its related quantities just at the critical wavenumbers. By applying a quadrature method, the IIE-1 becomes a matrix equation to be numerically solved. For a periodic rough surface, several properties of the scattering are shown in figures as functions of the incident wavenumbers. It is then confirmed that the branch point singularity clearly appears in the numerical solution. Moreover, it is shown that the proposed IIE-1 gives a numerical solution satisfying sufficiently the optical theorem even for the critical wavenumbers.
ER -
English
