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Proceedings ArticleDOI

Wiener-Hopf analysis of the radar cross section of a thin material strip

05 Jul 2016-pp 268-271
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.
Citations
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Proceedings ArticleDOI
01 May 2018
TL;DR: Nagasaka and Kobayashi as mentioned in this paper 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].

1 citations

Proceedings ArticleDOI
01 Sep 2017
TL;DR: In this paper, a thin material strip is analyzed using the Wiener-Hopf technique together with approximate boundary conditions and exact and high-frequency asymptotic solutions are obtained.
Abstract: H-polarized plane wave diffraction by a thin material strip is analyzed using the Wiener-Hopf technique together with approximate boundary conditions. Exact and high-frequency asymptotic solutions are obtained. The scattered field is evaluated asymptotically based on the saddle point method and a far field expression is derived. Numerical examples on the radar cross section (RCS) are presented and the scattering characteristics of the strip are discussed.

1 citations

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 radar c..." 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 boundary conditions [4]....

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  • ...Volakis [1] analyzed the 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]....

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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 radar c..." refers methods in this paper

  • ...Volakis [1] analyzed the 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, an asymptotic solution for the diffraction by a resistive strip is presented, which is useful in the simulation of thin dielectric layers, up to third-order diffraction terms are derived which include the surface wave field effects in a uniform manner.
Abstract: An asymptotic solution is presented for the diffraction by a resistive strip which is useful in the simulation of thin dielectric layers. Up to third-order diffraction terms are derived which include the surface wave field effects in a uniform manner. Extensions to the case of conductive and impedance strips are also given in Appendix C. The derivation of the higher order terms is based on the extended spectral ray method. New first-order diffraction coefficients for the impedance, resistive and conductive half planes are also presented. The last are uniform everywhere, including the surface wave field boundaries.

67 citations


"Wiener-Hopf analysis of the radar c..." refers methods in this paper

  • ...Volakis [1] analyzed the 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, the authors derived diffraction coefficients for a thin dielectric half plane and strip having arbitrary permittivity and permeability by modeling the thin material layer by a pair of modified resistive and conductive sheets.
Abstract: Diffraction coefficients are derived for a thin dielectric half plane and strip having arbitrary permittivity and permeability. This is accomplished by modeling the thin material layer by a pair of modified resistive and conductive sheets. By means of this model the dielectric half plane is first treated via the dual integral equation approach. By employing the half plane solution, up to third-order multiply diffracted fields are then derived for the case of a strip. These are obtained via the extended spectral ray method and include the surface wave diffraction effects in a uniform manner. Numerical results are also presented which validate the accuracy of the model and that of the derived diffraction coefficients.

37 citations


"Wiener-Hopf analysis of the radar c..." refers background or methods or result in this paper

  • ...Figure 3 shows the monostatic RCS as a function of incidence angle 0 and its comparison with Volakis’s results [1]....

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  • ...In [1], Volakis obtained a high-frequency asymptotic solution to the original strip problem by superposing the diffracted fields from the two independent material half-planes and the doubly/triply diffracted fields between the edges of the two half-planes....

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  • ...N It is seen from the figure that our results agree reasonably well with Volakis’s results [1]....

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  • ...In this paper, we shall consider the same strip geometry as in Volakis [1] and analyze the plane wave diffraction using the Wiener-Hopf technique....

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  • ...672, r i 3, N and its comparison with Volakis [1]....

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Journal ArticleDOI
Kazuya Kobayashi1
TL;DR: In this paper, the authors investigated functional equations arising in scattering problems associated with the modified Wiener-Hopf geometries, and developed general methods for approximate solutions for two-dimensional obstacles.
Abstract: Among a number of analysis methods for wave scattering problems, the Wiener-Hopf technique is known as a rigorous approach for canonical geometries. In this paper, we shall investigate functional equations arising in scattering problems associated with the modified Wiener-Hopf geometries, and develop general methods for approximate solutions. Applications of the methods to specific scattering problems related to canonical, two-dimensional obstacles are also discussed. First we consider scattering problems involving the modified Wiener-Hopf geometry of the first kind. It can be shown that the Wiener-Hopf analysis often leads to the integral equation as in

19 citations


"Wiener-Hopf analysis of the radar c..." refers methods in this paper

  • ...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....

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