Abstract:Background. The paper is devoted to the inverse problem of recovering electromagnetic parameters. This is an actual problem of modern electrodynamics. The aim of the study is to develop a numerical-analytical method to solve the inverse problem for a thin anisotropic one-sectional diaphragm. Materials and methods. We consider the inverse problem of recovering the permittivity tensor for a thin anisotropic diaphragm. The problem is reduced to boundary value problem for the Maxwell's equation system. Results. We have obtained approximate formulas of the solution to the inverse problem. Conclusions. The solution to the inverse problem can be used for tensor permittivity recovery in a thin anisotropic slab.