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

  • Hernan G. Triana Universidad Icesi
  • Andrés Navarro Cadavid Universidad Icesi
Keywords: Geometrical Theory of Diffraction, Asymptotic Methods, Computational Electromagnetics.



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.

Author Biographies

Hernan G. Triana, Universidad Icesi
Professor (Physics and Technology Department) and researcher, member of i2t (informatics and telecommunications research group) at the Universidad Icesi (Cali, Colombia). Physicist from the Universidad del Valle (Cali, Colombia), currently pursuing a Master of Research in Computer Science and Telecommunications at the Universidad Icesi. His main areas of interest are: theory of diffraction, computational electromagnetism and radio-propagation
Andrés Navarro Cadavid, Universidad Icesi
Full professor and Director of i2t (informatics and telecommunications research group) at the Universidad Icesi (Cali, Colombia). Electronics Engineer and Master in Technology Management (Universidad Pontificia Bolivariana de Medellín (Colombia), and Ph.D. in Telecommunications (Universidad Politécnica de Valencia, España). His main areas of interest are: spectrum management, radio propagation and m-health


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Original Research