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RUSSIAN FEDERAL NUCLEAR CENTER 
ALLRUSSIAN RESEARCH INSTITUTE OF EXPERIMENTAL PHYSICS 

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A 2D MODEL OF LASER RADIATION PROPAGATION AND ABSORPTION IN ICF TARGETS WITH THE ACCOUNT FOR REFRACTION
A. V. Vronsky, M. N. Chizhkov, A. A. Shestakov VANT. Ser.: Mat. Mod. Fiz. Proc 2017. Вып.4. С. 1424.
A 2D model is presented for laser radiation transfer and absorption in axisymmetric medium with the account for deflection and reflection of laser beams in geometrical optics approximation. Two approaches are considered. The density and the temperature of the electrons inside the counting cell are considered constant in the first approach, and the light beam trajectory inside the cell is a straight line. At the boundary between the cells with different cells there is either deflection or reflection of the beam in compliance with the laws of geometrical optics. At the second approach gradients of the density and temperature of electrons inside the cell are presumed to be constant and the trajectory of the beam in the cell has a parabolic shape. Additional correction of the beam direction is done at the cell boundary if necessary. There are test results for the proposed model done with the problems that have exact solution. Keywords: laser radiation transfer, refraction.
 ON ONE BENCHMARK PROBLEM OF LAYERED STRUCTURE COMPRESSION WITH THE ACCOUNT FOR RADIATION TRANSFER IN DIFFERENT APPROXIMATIONS
A. A. Shestakov VANT. Ser.: Mat. Mod. Fiz. Proc 2017. Вып.4. С. 2531.
A benchmark problem was offered that simulates compression of the simplest layered structure of two materials. The main distinctive features of the test are as follows: 1) a unified setting of the boundary and initial conditions of the radiation transfer in different approximations in 1D, 2D and 3D geometries; 2) simple analytical formulas for spectral paths that make it possible to do calculations in onegroup and multigroup setups; 3) a wide variation range for the spectral absorption factor; 4) the simplest equations of state. The calculation results are given in five approximations: kinetic, diffusion, quasidiffusion, P_{1}–approximation in onegroup and multigroup setups, as well as in the approximation of radiating thermal conductivity. Keywords: radiation transfer, compression of the layered system.

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