Three-dimensional Gaussian beam scattering from an anisotropic slab

The problem of the scattering of 3-D Gaussian beam incident at an arbitrary angle onto a double-periodic magneto-dielectric slab has been formulated and solved. The new formulas for incident and scattered 3-D Gaussian beam fields in the form of the single integrals have been derived. They allow to reduce the time spent upon the numerical calculations of the incident and scattered beam fields.