Topological Laws of the Rayleigh Wave Meta-Rayleigh Scattering on Deterministic Three-Dimensional Roughness

The Rayleigh wave meta-Rayleigh scattering on a three-dimensional deterministic roughness of an isotropic solid is obtained. It violates and expands the fundamental conception of the Rayleigh law of scattering and is described by the new topological laws in the Rayleigh limit, obtained in the present work. It gives the new principal physical results, enabling the construction of arbitrary arbitrary frequency and angular spectrum of scattering through its meta-Rayleigh modulation by a roughness structure in two independent space dimensions in the Rayleigh limit.