Видеотека: N. B. Engibaryan, The inverse problem of diffuse transmission in transport theory

ВИДЕОТЕКА


Международная конференция «Современная математическая физика. Владимиров-95» 14 ноября 2018 г. 14:30, г. Москва, г. Москва, ул. Губкина, д. 8, конференц-зал МИАН (9 этаж)

The inverse problem of diffuse transmission in transport theory N. B. Engibaryan
Аннотация: We consider a linear problem of transfer of radiation or elementary particles in a homogeneous plane layer, in the absence of internal energy sources. Let the medium on the side of one (conditionally-left) boundary be stationary illuminated by radiation of intensity $ J_0 $. Then the radiation of intensity $ J_1 = TJ_0 $ emerges from the right boundary. Some methods for constructing a linear transmission operator $ T $ are described. The existence and effective construction of the inverse operator $ T ^ {- 1} $ are considered. Knowing $ T ^ {- 1} $ allows to restore $ J_0 $ using the results from the measurement $ J_1 $ . This inverse problem adjoins [1]. Its solution has various applications. Язык доклада: английский