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Dal'nevost. Mat. Zh., 2018, Volume 18, Number 2, Pages 206–215 (Mi dvmg382)  

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

Abstract: 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.

Key words: radiation transfer equation, diffuse reflection, Lambert's cosine law, inverse problem.

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Document Type: Article
UDC: 517.958
MSC: Primary 35Q20; Secondary 35Q60
Received: 01.11.2018

Citation: 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
\Bibitem{KanPro18}
\by V.~A.~Kan, I.~V.~Prokhorov
\paper Determination of a diffuse reflecting surface under pulsed irradiation
\jour Dal'nevost. Mat. Zh.
\yr 2018
\vol 18
\issue 2
\pages 206--215
\mathnet{http://mi.mathnet.ru/dvmg382}


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