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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
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