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A generalized uniform geometrical theory of diffraction ray solution for the diffraction by a wedge with convex faces
Author(s) -
Liang M. C.,
Chuang C. W.,
Pathak P. H.
Publication year - 1996
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/95rs03474
Subject(s) - diffraction , wedge (geometry) , uniform theory of diffraction , scattering , mathematical analysis , ansatz , integral equation , geometrical optics , mathematics , exact solutions in general relativity , geometry , optics , physics , mathematical physics
An approximate asymptotic high‐frequency solution is obtained for the electromagnetic wave diffraction by a wedge with convex faces and a moderate wedge angle. The present solution properly includes the edge‐excited surface ray effect and can predict the transition between the space ray and the surface ray. This solution is uniform across the various ray shadow boundaries even when the transition regions associated with these ray shadow boundaries overlap and is expressed in the simple format of the geometrical theory of diffraction. The ansatz for the present solution is based on a uniform solution for the scattering from a curved screen obtained earlier by C.W. Chuang and M.C. Liang, used in conjunction with an asymptotic matching technique. Numerical results based on the present uniform geometrical theory of diffraction solution are found to be in excellent agreement with those based on an independent moment method solution of the exact integral equation.