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SUMMARY:Geometric Properties of a Beam Formed from Radionuclide Positron S
 ource by Stochastic Electron Optics
DTSTART;VALUE=DATE-TIME:20230912T083000Z
DTEND;VALUE=DATE-TIME:20230912T085000Z
DTSTAMP;VALUE=DATE-TIME:20260614T164136Z
UID:indico-contribution-2741@indico.inp.nsk.su
DESCRIPTION:Speakers: Vyacheslav Kurakin (Lebedev Physical Institute)\nIt 
 had been found experimentally in the past that there was a partial reflect
 ion of an electron beam falling obliquely on a material medium. It had bee
 n shown as well theoretically that the average reflection angle of a beam 
 depends on its incident angle only and does not depend on particle impulse
 s. Based on this phenomenon and the appropriate theoretical explanation th
 e method of a beam formation from an isotropic charged particles point sou
 rce had been proposed. The method is similar to this used in light optics 
 to transform light radiated by a lamp into unidirectional ray. Appropriate
  surface form had been calculated for the case of charged particles source
 .\nIn this paper\, the calculations that are more detailed are presented. 
 First\, these concern the base properties of partial beam reflection. Name
 ly\, the surface distribution function for a point size beam falling at so
 me angle on the plane separating vacuum and medium is derived\, multiple C
 oulomb scattering being taken into account only. This function is the exac
 t solution of appropriate boundary problem and is derived from the known s
 olution of the appropriate partial differential equation for unlimited med
 ium. As the result\, one has the family of phase portraits on interface su
 rface and similar portrait family of the particles on the plane\, which is
  perpendicular to the reflected part of the beam in vacuum. Then the appro
 priate differential equation determining the profile of the surface that t
 ransfers any particle source ray into the image plane is derived. At the l
 ast step\, the real beam emittance on the image plane is calculated.\n\nht
 tps://indico.inp.nsk.su/event/114/contributions/2741/
LOCATION:Budker INP Conference Hall
URL:https://indico.inp.nsk.su/event/114/contributions/2741/
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