Journal ArticleDOI
Uniform Asymptotic Theory of Diffraction by a Plane Screen
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This article is published in Siam Journal on Applied Mathematics.The article was published on 1968-07-01. It has received 181 citations till now. The article focuses on the topics: Asymptotic analysis & Asymptotic curve.read more
Citations
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Journal ArticleDOI
Field Distribution Features of Linearly Polarized Field of Plane Aperture
TL;DR: In this article , an analytical method based on physical optics in the time domain is used to calculate the field intensity of a uniformly illuminated aperture, and the results of the comparison obtained using three methods: geometrical theory of diffraction, plane wave spectrum approach (PWS), and primitive impulse response function (IRF) were very similar.
Journal ArticleDOI
Asymptotic solutions for the two‐dimensional diffracted field
Kohei Hongo,Eiji Nakajima +1 more
Abstract: A simple formula is derived to estimate the asymptotic field diffracted by an infinitely long cylindrical object with an arbitrary cross section when an arbitrary cylindrical wave with directivity is incident. In the analysis, the problem of diffraction of a cylindrical wave by an infinitely long slit is formulated by means of the Kobayashi-Nomura method, and an asymptotic series solution is derived with respect to the distances between the source and the scatterer and between the scatterer and the observation point. The solution is given in the form of a diffraction pattern function for the plane wave incidence and its derivative. The method is applicable to any diffraction (or scattering) problems of the object for which the pattern function is known. The result is applied to the problems of diffraction by a half-plane and a wedge and of scattering by a circular cylinder, and practical representations are derived. For the half-plane problem, the results are compared with those derived by other methods and complete agreement is confirmed. Numerical calculations for the slit diffraction problem and scatterings from the cylinder result in accurate results even when the distance between the object and the source is extremely small, as long as the second or the third term is taken into consideration. The method is believed to be an effective one.
Proceedings ArticleDOI
Asymptotic theory of diffraction by a small aperture
A. Mohsen,M.A.K. Hamid +1 more
Journal Article
Near-field spillover from a subreflector: Theory and experiment
TL;DR: In this article, a high-frequency GTD analysis of the spillover field over a plane just behind the subreflector is presented, where the role played by the slope diffraction term is discussed.
References
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Uniform asymptotic theory of edge diffraction
Robert M. Lewis,J Joop Boersma +1 more
TL;DR: In this paper, a uniform asymptotic theory of diffraction was proposed, which is uniformly valid near edges and shadow boundaries, but not at any caustics other than the edge.
Journal ArticleDOI
Diffraction of a Scalar Wave by a Plane Screen
TL;DR: In this paper, a method for obtaining a uniform representation of the diffracted field produced when a scalar wave is incident upon a plane screen with a curved edge is presented, where the first term in this representation is continuous at the edge and on the shadow boundaries.