The problem of the focal region fields scattered by an arbitrary surfa
ce reflector under uniform plane wave illumination is solved. The phys
ical-optics (PO) approximation is used to calculate the current induce
d on the reflector. The surface of the reflector is described by a num
ber of triangular domain-wise fifth-degree bivariate polynomials. A tw
o-dimensional Gaussian quadrature is employed to numerically evaluate
the integral expressions of the scattered fields. No Fresnel or Fraunh
ofer approximations are made. The relation of the focal fields problem
to surface compensation techniques and other applications are mention
ed. Several examples of distorted parabolic reflectors are presented a
nd discussed.