Open AccessExact solution and high frequency asymptotic methods in the wedge diffraction problem
Author(s) -
Hernán G. Triana,
Andrés Navarro Cadavid
Publication year - 2016
Publication title -
sistemas and telematica
Language(s) - English
Resource type - Journals
ISSN - 1692-5238
DOI - 10.18046/syt.v14i38.2285
Subject(s) - exact solutions in general relativity , wedge (geometry) , diffraction , mathematics , mathematical analysis , numerical analysis , asymptotic analysis , asymptotic formula , geometry , physics , quantum mechanics
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.