Oscillations of a statistical scattering in the Rayleigh limit and the Rayleigh law violation

Oscillations of the Rayleigh wave statistical scattering in the Rayleigh limit are theoretically found. These oscillations are violation of the Rayleigh law of scattering. They are caused by the diffraction of a new form - the extraordinary scattering in the Rayleigh limit, which leads to the different frequency dependencies of the scattering coefficient and thus violates the Rayleigh law of scattering. The fundamental physical conception that a wave does not sense the structure of an irregularity in a long-wavelength scattering, when the wavelength is much greater than the character size of the irregularity, i.e. in the Rayleigh limit, is violated as well.

► Problem of the Rayleigh wave scattering by a random roughness is solved. ► Oscillations of a statistical scattering in the Rayleigh limit are theoretically found. ► Oscillations are result of the extraordinary scattering violating the Rayleigh law. ► Oscillations themselves are violation of the Rayleigh law of scattering.