Popov, K. V.; Tikhonravov, A. V. New uniqueness classes for determining the parameters of a stratified medium from its energy reflectance. (English. Russian original) Zbl 0915.65076 Comput. Math. Math. Phys. 36, No. 11, 1625-1633 (1996); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 11, 162-172 (1996). Summary: The uniqueness classes for determining the refractive index of a stratified medium from its energy reflectance are shown to be classes of functions with bounded total variation. Stratified media with continuous and piecewise-constant distributions of the refractive index are considered. MSC: 65L05 Numerical methods for initial value problems 34A55 Inverse problems involving ordinary differential equations 34M50 Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain 78A45 Diffraction, scattering Keywords:spectroscopy; photometric methods; inverse problem; refractive index; stratified medium; energy reflectance PDF BibTeX XML Cite \textit{K. V. Popov} and \textit{A. V. Tikhonravov}, Comput. Math. Math. Phys. 36, No. 11, 1625--1633 (1996; Zbl 0915.65076); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 11, 162--172 (1996)