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

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...

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Autores:
Triana, Hernan G.
Cadavid, Andrés Navarro
Tipo de recurso:
Article of investigation
Fecha de publicación:
2016
Institución:
Universidad ICESI
Repositorio:
Repositorio ICESI
Idioma:
eng
OAI Identifier:
oai:repository.icesi.edu.co:10906/81513
Acceso en línea:
http://www.icesi.edu.co/revistas/index.php/sistemas_telematica/article/view/2285
http://hdl.handle.net/10906/81513
http://dx.doi.org/10.18046/syt.v14i38.2285
Palabra clave:
Rights
openAccess
License
https://creativecommons.org/licenses/by-nc-nd/4.0/
Description
Summary: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 exact solution is compared to numerical simulation of an asymptoticmethod, and a satisfactory agreement found.  Accuracy dependence with frequency is verified.