  We demonstrate the directional scattering cancellation for a dielectric
sphere of radius up to ten times the incident wavelength, by coating it with a
surface of finite conductivity. Specifically, the problem of determining the
values of the surface conductivity that guarantees destructive interference
among hundreds of multipolar scattering orders at the prescribed angular
direction is reduced to the determination of the zeros of a polynomial, whose
coefficients are analytically known.
