Abstract:Background. The appearance of new artificial materials, such as composites, has raised a problem of electromagnetic parameters reconstruction for such materials. This is an actual problem of modern electrodynamics. The aim of the study is to develop a numerical-analytical method for solving the inverse problem for a thin anisotropic multi-sectional diaphragm. Materials and methods. We consider the inverse problem of a permittivity tensor for a thin multisectional anisotropic diaphragm. The problem is reduced to a boundary value problem for Maxwell's equations. Results. We obtain numerical-analytical approximate formulas of the solution to the inverse problem. Numerical-analytical method is developed for the problem under investigation. Numerical results are presented for the case of three-sectional diaphragm. Conclusions. The solution of the inverse problem can be used for tensor permittivity reconstruction for a thin anisotropic multisectional slab.