1D inverse problems of electromagnetic theory of layered inhomogeneous anisotropic media

The inverse problems of the reconstruction of the dielectric permittivity tensor of multilayered inhomogeneous anisotropic slab by the reflection (transmission) coefficients known at the discrete sets of frequencies and angles of incidence are considered. The inverse problems have been reduced to optimal control problems for the Riccati equation. An analytical- numerical method for solving these problems has been developed. Numerical experiments demonstrating the computational efficiency of the proposed method have been carried out.