Abstract:Background. This paper is devoted to inverse problems of electromagnetic parameters reconstruction of isotropic and anisotropic diaphragms. The aim of study is to develop numerical-analytical methods of solving inverse problems. Materials and methods. We consider two inverse problems: inverse problem of complex permittivity reconstruction and inverse problem of permittivity and permeability tensors reconstruction of multi-sectional diaphragm. The problem is devoted to the boundary value problem for Maxwell's equations. Results. We obtain numerical-analytical methods of the solution to the both inverse problems. Conclusions. The numerical methods of solving these inverse problems and numerical results can be used in practice to reconstruct electromagnetic characteristics of modern materials.