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@unpublished{kurakin:rupac2021-thc01,
author = {V.G. Kurakin},
title = {{Beam Formation from Radionuclide Positron Source by the Charged Particles Beams Stochastic Optics Method}},
% booktitle = {RuPAC'21},
eventtitle = {Russ. Part. Accel. Conf. (RuPAC'21)},
eventdate = {2021-09-27/2021-10-01},
language = {english},
intype = {presented at},
series = {Russian Particle Accelerator Conference},
number = {27},
venue = {Alushta, Crimea},
note = {presented at RuPAC'21 in Alushta, Crimea, unpublished},
abstract = {{Nowadays positrons emitted by radionuclide positron sources are used for numerous purposes. The particles fly out within the whole 4pi space angle that is not convenient for some applications and their further acceleration as well. The method of unidirectional beam formation from isotropic positron source is described and this one is based on the properties of charged particles beam partial reflection in the case of its incline incident on scattering medium. The reflections laws based on the charged particles beam stochastic optics are established. It is shown that the average reflection angle of a beam depends on its incident angle only and does not depend on particle impulses. The reflector itself suggested reminds a car headlight or searchlight, a point like positron source being located at its flat bottom center. The remaining part of this reflector is the element of surface of revolution with the axis that is perpendicular to the flat bottom and starts from point particles source. The differential equation for this line is derived and numerically obtained solutions for various types of focusing are presented in the form of plots. The transformation efficiency defined as the ratio of the particles captioned by reflector to all particles emitted by the positron source into forward semi sphere is calculated as well.9}},
}