Three- dimensional Gaussian beam with circular cross section scattered from double-periodic magnetodielectric slab at a small angle of incidence

The problem of scattering of 3-D Gaussian beam incident at a small angle onto a double-periodic magneto-dielectric clab 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 and improve their accuracy. The calculations of the obliquely incident 3-D Gaussian beam onto magneto-dielectric slab and reflected from it using derived formulas are illustrated in figures presented in the paper.