Mc. Liang et al., A GENERALIZED UNIFORM GEOMETRICAL-THEORY OF DIFFRACTION RAY SOLUTION FOR THE DIFFRACTION BY A WEDGE WITH CONVEX FACES, Radio science, 31(4), 1996, pp. 679-691
An approximate asymptotic high-frequency solution is obtained for the
electromagnetic wave diffraction by a wedge with convex faces and a mo
derate wedge angle. The present solution properly includes the edge-ex
cited surface ray effect and can predict the transition between the sp
ace ray and the surface ray. This solution is uniform across the vario
us ray shadow boundaries even when the transition regions associated w
ith these ray shadow boundaries overlap and is expressed in the simple
format of the geometrical theory of diffraction. The ansatz for the p
resent 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 result
s based on the present uniform geometrical theory of diffraction solut
ion are found to be in excellent agreement with those based on an inde
pendent moment method solution of the exact integral equation.