THREE-DIMENSIONAL BEAM SCATTERING AT MULTILAYERS: FORMULATION OF THE PROBLEM

摘要

A problem of three-dimensional optical beam scattering at a dielectric multilayer is analysed. Scattering and transfer matrices of the layered structure are derived for incidence of beams of arbitrary polarization. Transmission and reflection matrices are given in a diagonal form dependent on polarization of an incident beam. Factorisation of these matrices results in scalar complex transformations, separately for beam polarization and for beam amplitudes. While the polarization transformations describe the multilayer action in terms of Lorentz transformations, the amplitude transformations yield spatial beam shaping. The scattering vector problem resolves into two independent scalar transformations.