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Тезисы докладов

Стохастическое моделирование и методы Монте-Карло

At the analysis of an experimental optical information for dense media there is a problem of its interpretation with physical processes in a medium. Thus it is necessary to take into account a spectral structure of a radiation, structure of atomic levels, sources of radiation and geometry of a medium. The mathematical model describing a state of a medium and a radiation field, has an form begin{eqnarray} &frac{dvec Y(vec r,t)}{dt}=K(vec Y)vec J(vec r,t)+ vec F(vec Y,vec r,t); vec Y(vec r,t)=vec {Y_0}; i=1,2,3...n,& &J_k(vec r,t) = intlimits_{Omega} intlimits_{nu} Phi_k(nu) I_k(vec r ,vec{Omega},nu,t) dOmega dnu,& &frac{dI_k(vec r ,Omega,nu,t)}{ds} = Phi_k(nu) chi_k(vec Y) [S_k(vec Y) - I_k(vec r ,Omega,nu,t)],& nonumber &I_k(L,Omega,nu,t)={I_k}^0(Omega,nu,t),& end{eqnarray} where $ vec Y, vec {Y _ 0} $ are the vector functions of the populations and their initial values, $ n $ is number of the levels, $ K $ is matrix of factors for the stimulated radiation processes, $vec J $ is the intensity of spectral lines, $ vec F $ is vector function, which is taking into account for spontaniuos decay of the levels and the contribution of the collision prosesses with other particles, $ J _ k $ is the intensity of a line for $ k $ transition, $ Phi _ k $ is the frequent contour of a line, $ dOmega $ is the element of a solid angle, $ nu $ is the frequency of a radiation, $ S _ k $ is the source function, $ chi _ k $ is absorption coefficient in a center of a line, $ ds $ is an element of a path in direction $ vec {Omega} $. Solution algorithm of the task (1) - (3) was developed for media having the form of a stratum, cylinder and sphere. Results of about a luminescence of artiphicial barium clouds, about ionization of soudium atoms and about their fluorescent luminescence under an laser beam action are to be well agreeed experimental datas, that speaks about effective work of algorithm and adequate discribing of researched processes.

Примечание. Тезисы докладов публикуются в авторской редакции

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