The diffraction of an inhomogeneous plane wave by a wedge is investiga
ted. An integral representation for the total field is obtained and th
en evaluated by a uniform asymptotic procedure. The solution is expres
sed in the form of the uniform geometrical theory of diffraction (UTD)
so that it can be applied to calculate the scattering from more compl
ex shapes. The shadow and reflection boundaries of the geometrical opt
ics field are found to be displaced from their conventional locations.
The extent of the transition regions is also described. The solution
is then extended to account for dissipative losses in the medium surro
unding the wedge. To demonstrate the accuracy of the UTD solution, num
erical results are presented and compared with those calculated from a
n eigenfunction solution.