Directional scattering cancellation for an electrically large dielectric sphere

We demonstrate the directional scattering cancellation for a dielectric sphere of radius up to 10 times the incident wavelength, by coating it with a surface of finite conductivity. Specifically, the problem of determining the values of surface conductivity that guarantee 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.