Journal Article•
Wiener-Hopf Analysis of the Plane Wave Diffraction by a Thin Material Strip : Higher Order Asymptotics (電磁界理論)
About: This article is published in IEICE technical report. Speech.The article was published on 2015-10-29 and is currently open access. It has received 8 citations till now. The article focuses on the topics: Radar cross-section.
Citations
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TL;DR: The H-polarized plane wave diffraction by a thin material strip is analyzed using the Wiener-Hopf technique together with approximate boundary conditions and a far field expression is derived.
Abstract: The H-polarized plane wave diffraction by a thin material strip is analyzed using the Wiener-Hopf technique together with approximate boundary conditions. An asymptotic solution is obtained under the condition that the thickness and the width of the strip are small and large compared with the wavelength, respectively. The scattered field is evaluated asymptotically based on the saddle point method and a far field expression is derived. Scattering characteristics of the strip are discussed via numerical results of the radar cross section.
15 citations
Cites result from "Wiener-Hopf Analysis of the Plane W..."
...The results presented in this paper provide an important extension of our earlier analysis [5] and the analysis of the case of E polarization [6]....
[...]
01 Sep 2020
TL;DR: It is shown that the method of moments implementation by graphical processor provides a sufficient gain in the performance.
Abstract: In the present paper the problem of plane electromagnetic wave diffraction by a thin metal plate is considered. A numerical algorithm is developed using method of moments with NVIDIA CUDA technology implementation. The results of numerical modeling of a plane wave diffraction by the square thin metallic plate is shown. Comparative analysis of the performance for CPU and GPU is carried out. It is shown that the method of moments implementation by graphical processor provides a sufficient gain in the performance.
6 citations
Cites methods from "Wiener-Hopf Analysis of the Plane W..."
...For their analysis, it is necessary to use strict analytical methods of applied electrodynamics [1]–[3] or approximate numerical methods [4]–[6]....
[...]
01 Jan 2014
TL;DR: Nagasaka and Kobayashi as discussed by the authors analyzed plane wave diffraction by a thin material strip for both H and E polarizations using the Wiener-Hopf technique together with the two different approximate boundary conditions.
Abstract: TPID5179783. Volakis analyzed the H-polarized plane wave diffraction by a thin material strip using the dual integral equation approach and the extended spectral ray method together with approximate boundary conditions [1]. In [1], Volakis first solved rigorously the diffraction problem involving a single material halfplane, and subsequently obtained a high-frequency solution to the original strip problem by superposing the singly diffracted fields from the two independent half-planes and the doubly/triply diffracted fields from the edges of the two half-planes. Therefore his analysis is not rigorous from the viewpoint of boundary value problems, and may not be applicable unless the strip width is relatively large compared with the wavelength. In this paper, we shall consider the same problem as in Volakis [1], and analyze plane wave diffraction by a thin material strip for both H and E polarizations using the Wiener-Hopf technique together with the two different approximate boundary conditions [2], [3]. Main results of this paper are published in Nagasaka and Kobayashi [4], [5].
6 citations
05 Jul 2016
TL;DR: In this article, the plane wave diffraction by a thin material strip is analyzed using the Wiener-Hopf technique and approximate boundary conditions and an asymptotic solution is obtained under the condition that the strip width is large compared with the wavelength.
Abstract: The plane wave diffraction by a thin material strip is analyzed using the Wiener-Hopf technique and approximate boundary conditions. An asymptotic solution is obtained under the condition that the strip width is large compared with the wavelength. Applying the saddle point method, the scattered far field is evaluated asymptotically. Numerical results on the radar cross section are presented.
4 citations
Additional excerpts
...EXACT SOLUTION OF THE WIENER-HOPF EQUATIONS The kernel function ( ) K and ( ) M given by (11) and (12) can be factorized as [6] ( ) ( ) ( ) ( ) ( ), K K K K K (23) ( ) ( ) ( ) ( ) ( ), M M M M M (24) where 1/2 0 1 /4 ( ) (2 ) ( ), i e K kY e N R (25) 1/2...
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22 Sep 2016
TL;DR: In this article, the plane wave diffraction by a thin material strip is analyzed using the Wiener-Hopf technique and approximate boundary conditions and an asymptotic solution is obtained under the condition that the strip width is large compared with the wavelength.
Abstract: The plane wave diffraction by a thin material strip is analyzed using the Wiener-Hopf technique and approximate boundary conditions. An asymptotic solution is obtained under the condition that the strip width is large compared with the wavelength. Applying the saddle point method, the scattered far field is evaluated asymptotically. Numerical results on the radar cross section (RCS) are presented.
3 citations
Additional excerpts
...EXACT SOLUTIONS The kernel functions ( ) K α and ( ) M α given by (13) and (12) can be factorized as [6] ( ) ( ) ( ) ( ) ( ), M M M M M α α α α α + − + + = = − (24) ( ) ( ) ( ) ( ) ( ), K K K K K α α α α α + − + + = = − (25) where 1/2 0 1 2 1/2 ( ) ( ) ( ) ( ) , 2 ( ) e m...
[...]
References
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TL;DR: The H-polarized plane wave diffraction by a thin material strip is analyzed using the Wiener-Hopf technique together with approximate boundary conditions and a far field expression is derived.
Abstract: The H-polarized plane wave diffraction by a thin material strip is analyzed using the Wiener-Hopf technique together with approximate boundary conditions. An asymptotic solution is obtained under the condition that the thickness and the width of the strip are small and large compared with the wavelength, respectively. The scattered field is evaluated asymptotically based on the saddle point method and a far field expression is derived. Scattering characteristics of the strip are discussed via numerical results of the radar cross section.
15 citations
01 Sep 2020
TL;DR: It is shown that the method of moments implementation by graphical processor provides a sufficient gain in the performance.
Abstract: In the present paper the problem of plane electromagnetic wave diffraction by a thin metal plate is considered. A numerical algorithm is developed using method of moments with NVIDIA CUDA technology implementation. The results of numerical modeling of a plane wave diffraction by the square thin metallic plate is shown. Comparative analysis of the performance for CPU and GPU is carried out. It is shown that the method of moments implementation by graphical processor provides a sufficient gain in the performance.
6 citations
01 Jan 2014
TL;DR: Nagasaka and Kobayashi as discussed by the authors analyzed plane wave diffraction by a thin material strip for both H and E polarizations using the Wiener-Hopf technique together with the two different approximate boundary conditions.
Abstract: TPID5179783. Volakis analyzed the H-polarized plane wave diffraction by a thin material strip using the dual integral equation approach and the extended spectral ray method together with approximate boundary conditions [1]. In [1], Volakis first solved rigorously the diffraction problem involving a single material halfplane, and subsequently obtained a high-frequency solution to the original strip problem by superposing the singly diffracted fields from the two independent half-planes and the doubly/triply diffracted fields from the edges of the two half-planes. Therefore his analysis is not rigorous from the viewpoint of boundary value problems, and may not be applicable unless the strip width is relatively large compared with the wavelength. In this paper, we shall consider the same problem as in Volakis [1], and analyze plane wave diffraction by a thin material strip for both H and E polarizations using the Wiener-Hopf technique together with the two different approximate boundary conditions [2], [3]. Main results of this paper are published in Nagasaka and Kobayashi [4], [5].
6 citations
05 Jul 2016
TL;DR: In this article, the plane wave diffraction by a thin material strip is analyzed using the Wiener-Hopf technique and approximate boundary conditions and an asymptotic solution is obtained under the condition that the strip width is large compared with the wavelength.
Abstract: The plane wave diffraction by a thin material strip is analyzed using the Wiener-Hopf technique and approximate boundary conditions. An asymptotic solution is obtained under the condition that the strip width is large compared with the wavelength. Applying the saddle point method, the scattered far field is evaluated asymptotically. Numerical results on the radar cross section are presented.
4 citations
22 Sep 2016
TL;DR: In this article, the plane wave diffraction by a thin material strip is analyzed using the Wiener-Hopf technique and approximate boundary conditions and an asymptotic solution is obtained under the condition that the strip width is large compared with the wavelength.
Abstract: The plane wave diffraction by a thin material strip is analyzed using the Wiener-Hopf technique and approximate boundary conditions. An asymptotic solution is obtained under the condition that the strip width is large compared with the wavelength. Applying the saddle point method, the scattered far field is evaluated asymptotically. Numerical results on the radar cross section (RCS) are presented.
3 citations