Exact solution and high frequency asymptotic methods in the wedge diffraction problem Report as inadecuate




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Andrés Navarro Cadavid ;Sistemas & Telemática 2016, 14 38

Author: Hernan G. Triana

Source: http://www.redalyc.org/articulo.oa?id=411547493001


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Sistemas & Telemática ISSN: 1692-5238 EditorSyT@icesi.edu.co Universidad ICESI Colombia Triana, Hernan G.; Navarro Cadavid, Andrés Exact solution and high frequency asymptotic methods in the wedge diffraction problem Sistemas & Telemática, vol.
14, núm.
38, 2016, pp.
9-28 Universidad ICESI Cali, Colombia Available in: http:--www.redalyc.org-articulo.oa?id=411547493001 How to cite Complete issue More information about this article Journals homepage in redalyc.org Scientific Information System Network of Scientific Journals from Latin America, the Caribbean, Spain and Portugal Non-profit academic project, developed under the open access initiative Triana, H.
& Navarro, A.
(2016).
Exact solution and high frequency asymptotic methods in the wedge diffraction problem. Sistemas & Telemática, 14(38), 9-28 Original research - Artículo original - Tipo 1 Exact solution and high frequency asymptotic methods in the wedge diffraction problem Hernan G.
Triana - hernan.garcia@correo.icesi.edu.co Andrés Navarro Cadavid - anavarro@icesi.edu.co Universidad Icesi, Cali-Colombia ABSTRACT The Sommerfeld exact solution for canonical 2D wedge diffraction problem with perfectly conducting surfaces is presented.
From the integral formulation of the problem, the Malyuzhinets solution is obtained and this result is extended to obtain the general impedance solution of canonical 2D wedge problem.
Keller’s asymptotic solution is developed and the general formulation of exact solution it’s used to obtain general asymptotic methods for approximate solutions useful from the computational point of view.
A simulation tool is used to compare numerical calculations of exact and asymptotic solutions.
The numerical simulation of asymptotic solution is compared to numerical simulation of Parabolic Equation method, and a satisfactory agreement found.
Accuracy dependence with frequency is verified. KEYWORDS Geometrical Theory of Diffraction, Asymptotic Methods, Computational Electromag...





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