Abstract
AbstractThe 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.
Highlights
The diffraction of high frequency electromagnetic waves is a local phenomenon of considerable importance in the modeling of the signal propagation through a wireless channel
We cover some general aspects of the Malyuzhinets solution, we present the general scheme to develop asymptotic solutions and we discuss three of these solutions for the bi-dimensional canonical problem and, we use a simulation tool to numerically compare the exact solution with an asymptotic one
Hacivelioglu, Uslu y Sevgi (2011): Both for the solution of the geometrical theory of diffraction (41) and for the uniform theory of diffraction (43), the total field in the angular domain is obtained by adding the components of the geometrical optics, following the region (Figure 2): Igual que antes el campo total se obtiene sumando las componentes de la óptica geométrica según la región (47): The critic topic in the UTD is the calculation of the Fresnel integral
Summary
The diffraction of high frequency electromagnetic waves is a local phenomenon of considerable importance in the modeling of the signal propagation through a wireless channel. A detailed review related with the importance of the radio channel modeling tools by using optical ray tools has been performed (Navarro, Guevara & Gómez, 2014); the detailed study of the HF asymptotic techniques based on the optical ray combined with heuristic procedures, offers the possibility to refine the existing simulation and characterization tools (Navarro, Guevara, Tami, Rego & Moreira, 2015) These researches have allowed to perform some calibration procedures of ray tracing models (Navarro, Guevara & Africano, 2012), and to use 3D videogame technology for both the channel modeling (Navarro, Guevara & Londoño, 2012) and the analysis of delay loss in millimetric waves considering indoor environments (Navarro et al, 2016)
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