The scattering from a wedge with nonuniform impedance faces illuminate
d by a plane wave, perpendicularly incident on its edge, is analyzed.
The solution technique is in the framework of perturbative methods; it
applies to surface impedances of the wedge faces having the form of a
constant pins a small amplitude perturbation which exhibits an expone
ntial dependence on the distance from the edge in a plane transverse t
o the edge, This is of remarkable importance for applications as it al
lows the modeling of actual behavior of the equivalent surface impedan
ce in the special case of wedges coated with dielectric slabs, Uniform
asymptotic expressions for the fields are obtained in the context of
the uniform geometrical theory of diffraction (UTD).