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Journal ArticleDOI

Wiener-Hopf Analysis of the Plane Wave Diffraction by a Thin Material Strip

01 Jan 2017-IEICE Transactions on Electronics (The Institute of Electronics, Information and Communication Engineers)-Vol. 100, Iss: 1, pp 11-19
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.
Citations
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Journal ArticleDOI
01 Feb 2021-Optik
TL;DR: In this article, the Kobayashi potential (KP) method is applied to the PEMC strip and diffraction of electromagnetic wave from the proposed strip is assessed by Kobaya potential method which yields exact answer.

7 citations

Proceedings ArticleDOI
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

Proceedings ArticleDOI
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


Cites methods from "Wiener-Hopf Analysis of the Plane W..."

  • ...By using a rigorous asymptotic method [5]-[7] together with a special function introduced in this paper, we shall derive a high-frequency solution of the Wiener-Hopf equations, which is expressed in terms of an infinite asymptotic series....

    [...]

Proceedings ArticleDOI
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


Cites methods from "Wiener-Hopf Analysis of the Plane W..."

  • ...By using a rigorous asymptotic method established in Kobayashi [5]-[7], we shall derive a high-frequency solution of the Wiener-Hopf equations, which is expressed in terms of an infinite asymptotic series....

    [...]

References
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Book
01 Jan 1995
TL;DR: In this article, the authors describe a variety of methods for the approximate simulation of material surfaces, and provide the first comprehensive treatment of boundary conditions in electromagnetics, including impedance, resistive sheet, conductive sheet and generalised (or higher order) and absorbing (or non-reflecting) boundary conditions.
Abstract: Non-metallic materials and composites are now commonplace in modern vehicle construction, and the need to compute scattering and other electromagnetic phenomena in the presence of material structures has led to the development of new simulation techniques. This book describes a variety of methods for the approximate simulation of material surfaces, and provides the first comprehensive treatment of boundary conditions in electromagnetics. The genesis and properties of impedance, resistive sheet, conductive sheet, generalised (or higher order) and absorbing (or non-reflecting) boundary conditions are discussed. Applications to diffraction by numerous canonical geometries and impedance (coated) structures are presented, and accuracy and uniqueness issues are also addressed, high frequency techniques such as the physical and geometrical theories of diffraction are introduced, and more than130 figures illustrate the results, many of which have not appeared previously in the literature. Written by two of the authorities m the field, this graduate-level text should be of interest to all scientists and engineers concerned with the analytical and numerical solution of electromagnetic problems.

641 citations


"Wiener-Hopf Analysis of the Plane W..." refers background or methods in this paper

  • ...If the strip thickness is small compared with the wavelength, the material strip can be replaced by a strip of zero thickness satisfying the second order impedance boundary conditions [4]....

    [...]

  • ...Volakis [1] analyzed the H-polaized plane wave diffraction by a thin material strip using the dual integral equation approach [2] and the extended spectral ray method [3] together with approximate boundary conditions [4]....

    [...]

Journal ArticleDOI
TL;DR: In this paper, a simpler approach is given, based on a representation of the scattered field as an angular spectrum of plane waves, such a representation leading directly to a pair of "dual" integral equations, which replaces the single integral equation of Schwinger's method.
Abstract: In the last few years Copson, Schwinger and others have obtained exact solutions of a number of diffraction problems by expressing these problems in terms of an integral equation which can be solved by the method of Wiener and Hopf. A simpler approach is given, based on a representation of the scattered field as an angular spectrum of plane waves, such a representation leading directly to a pair of ‘dual’ integral equations, which replaces the single integral equation of Schwinger’s method. The unknown function in each of these dual integral equations is that defining the angular spectrum, and when this function is known the scattered field is presented in the form of a definite integral. As far as the ‘radiation’ field is concerned, this integral is of the type which may be approximately evaluated by the method of steepest descents, though it is necessary to generalize the usual procedure in certain circumstances. The method is appropriate to two-dimensional problems in which a plane wave (of arbitrary polarization) is incident on plane, perfectly conducting structures, and for certain configurations the dual integral equations can be solved by the application of Cauchy’s residue theorem. The technique was originally developed in connexion with the theory of radio propagation over a non-homogeneous earth, but this aspect is not discussed. The three problems considered are those for which the diffracting plates, situated in free space, are, respectively, a half-plane, two parallel half-planes and an infinite set of parallel half-planes; the second of these is illustrated by a numerical example. Several points of general interest in diffraction theory are discussed, including the question of the nature of the singularity at a sharp edge, and it is shown that the solution for an arbitrary (three-dimensional) incident field can be derived from the corresponding solution for a two-dimensional incident plane wave.

89 citations


"Wiener-Hopf Analysis of the Plane W..." refers methods in this paper

  • ...Volakis [1] analyzed the H-polaized plane wave diffraction by a thin material strip using the dual integral equation approach [2] and the extended spectral ray method [3] together with approximate boundary conditions [4]....

    [...]

Journal ArticleDOI
TL;DR: In this article, a modified conductive sheet is used to model the field scattered by a thin non-magnetic dielectric layer, and the boundary conditions for the new sheet differ from those of a standard conductive layer by the presence of a second normal derivative.
Abstract: To facilitate the computation of the field scattered by a thin non-magnetic dielectric layer, it is customary to model the layer as an infinitesimally thin resitive sheet, but the simulation becomes increasingly inaccurate at oblique angles of incidence when the electric vector has a component normal to the layer. By starting with a volume integral formulation of the scattered field, it is shown that the accuracy is greatly improved when a “modified” conductive sheet is included in addition to the resistive one. The boundary conditions for the new sheet differ from those of a standard conductive sheet by the presence of a second normal derivative, and the combination of two coincident sheets yields results for a thin layer that are virtually indistinguishable from those provided by a volume integral equation. The advantages of this type of simulation are discussed, and the extension to a layer of arbitrary shape and composition is described.

85 citations

Book
01 Aug 2014
TL;DR: This advanced research monograph is devoted to the Wiener-Hopf technique, a function-theoretic method that has found applications in a variety of fields, most notably in analytical studies of diffraction and scattering of waves.
Abstract: This advanced research monograph is devoted to the Wiener-Hopf technique, a function-theoretic method that has found applications in a variety of fields, most notably in analytical studies of diffraction and scattering of waves. It provides a comprehensive treatment of the subject and covers the latest developments, illustrates the wide range of possible applications for this method, and includes an extensive outline of the most powerful analytical tool for the solution of diffraction problems. This will be an invaluable compendium for scientists, engineers and applied mathematicians, and will serve as a benchmark reference in the field of theoretical electromagnetism for the foreseeable future.

73 citations