Accurate numerical optimization based on the rigorous solution of the integ
ral equation using the method of analytical regularization is performed for
the cylindrical reflector antenna in a dielectric radome, It is shown that
the multiple scattering in this system is more significant for the optimum
radome design than any nonplane-wave effects or the curvature of the radom
e, We claim that, although the common half-wavelength design is a good appr
oximation to avoid negative effects of the radome (such as the loss of the
antenna directivity), one can, by carefully playing with the radome thickne
ss, its radius, reflector location, and the position of the feed, improve t
he reflector-in-radome antenna performance (e.g., increase the directivity)
with respect to the same reflector in free-space.