Non-Rayleigh limit of the Lorenz-Mie solution and suppression of scattering by spheres of negative refractive index

We study light scattering by spheres made of negative refractive index materials. We demonstrate that scattering efficiency of the light does not always obey the well-known Rayleigh's law Qsca ∼ κ4 for small values of size parameter κ, but could be constant Qsca ∼const, or even inversionally proportional Qsca ∼1/ κ2. In addition, it is found that spheres with radius comparable with the input wavelength may exhibit suppression of the scattering in any directions, particularly, in forward one. It can be considered as analogs of Brewster's angles for spheres.