Determination of a diffuse reflecting surface under pulsed irradiation
V. A. Kanab, I. V. Prokhorovab
a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
An inverse problem of determining a diffusely reflecting surface under given functionals of the radiation flux density for a nonstationary radiation transfer equation is considered. Assuming the point pulsed source and the single scattering approximation, authors obtained the nonlinear differential equation. The solution has been obtained in a few quadratures to determine the profile of the Lambert surface. The computational experiments were carried out on test examples.
radiation transfer equation, diffuse reflection, Lambert's cosine law, inverse problem.
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MSC: Primary 35Q20; Secondary 35Q60
V. A. Kan, I. V. Prokhorov, “Determination of a diffuse reflecting surface under pulsed irradiation”, Dal'nevost. Mat. Zh., 18:2 (2018), 206–215
Citation in format AMSBIB
\by V.~A.~Kan, I.~V.~Prokhorov
\paper Determination of a diffuse reflecting surface under pulsed irradiation
\jour Dal'nevost. Mat. Zh.
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