An approach to high-frequency scattering from smooth convex surfaces

A method based on the Galerkin procedure in the transform domain that not only allows accurate solutions for both the farfield and the induced surface current be derived but also provides a convenient accuracy check for the solutions thus obtained is introduced. The total solution is constructed using only the geometrical optics method and a newly introduced synthetic aperture technique well suited for deriving efficient transform solutions for
n
-dimensional, smooth curved objects using (
n - 1
)-dimensional transforms. The need for the conventional creeping-wave contribution is obviated in this method.