Spectral method for multiple edge diffraction by a flat strip
type: Item
instance of: scholarly article
title: Spectral method for multiple edge diffraction by a flat strip
zbMATH Open document ID: 0601.73031
DOI: 10.1016/0165-2125(86)90034-X
author: B. George
published in: Wave Motion
publication date: 1986-01-01T00:00:00Z
review text: A spectral iteration scheme is employed to analyze time-harmonic and transient scattering of an E-or H-polarized incident plane wave by a perfectly conducting plane strip. The scattered field is synthesized by successive interactions between the edges, with each interaction modeled by half-plane diffraction. The plane wave spectrum generating a particular order of diffraction consists, in addition to the incident plane wave excitation, of a portion determined from the previous diffraction. The multiple integral spectral representations constructed in this manner satisfy the edge condition, and they are in a form suitable for inversion into the time domain by the modified Cagniard-de Hoop method. Asymptotic reductions for special cases yield agreement with results from other methods, when available. Numerical calculations including up to triple diffraction have been performed for H- and E- polarized impulse and Gaussian pulse scattering. The results are clearly seen to repair the deficiencies of wavefront approximations at longer observation times, and from comparison with data generated independently by eigenfunction expansion, they describe accurately the total scattered response, owing to the high damping rate of higher-order diffractions.
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 78A40
zbMATH DE Number: 3970187
zbMATH Keywords: Wiener-Hopf technique
zbMATH Keywords: impulsive pulse
zbMATH Keywords: Gaussian pulse
zbMATH Keywords: spectral iteration scheme
zbMATH Keywords: time-harmonic
zbMATH Keywords: transient scattering
zbMATH Keywords: E-or H-polarized incident plane wave
zbMATH Keywords: perfectly conducting plane strip
zbMATH Keywords: successive interactions
zbMATH Keywords: modeled by half-plane diffraction
zbMATH Keywords: multiple integral spectral representations
zbMATH Keywords: inversion into the time domain
zbMATH Keywords: Cagniard-de Hoop method
MaRDI profile type: Publication
cites work: Creeping waves and resonances in transient scattering by smooth convex objects
cites work: Q3251655
cites work: Q5634307
full work available at URL: 0165-2125(86)90034-x
OpenAlex ID: W2019905658
description: scientific article; zbMATH DE number 3970187