The solution of the boundary value problem of electromagnetic wave transmission through an anisotropic layered structure placed in a rectangular waveguide is presented. The main axes of the crystallographic system of the layers are oriented parallel to the edges of the waveguide. For transmission through a single slab, the resulting scattering matrix elements S11 and S21 are transformed to the form known from the Nicolson-Ross-Weir model. This gives the possibility of using this model to retrieve complex material parameters (components of the permittivity and permeability tensors).
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