Author: Edamenko, N.S.
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WECAMH01 Some Problems of the Beam Extraction from Circular Accelerators 61
 
  • S.N. Andrianov
    St. Petersburg State University, St. Petersburg, Russia
  • N.S. Edamenko
    Saint Petersburg State University, Saint Petersburg, Russia
 
  In this article some problems of optimizing the output beam of particles from the circular accelerator are discussed. In particular, we consider some problems of matching the booster, Nuclotron and collider in the NICA project. The main attention is paid to the matching of the extraction beam systems. The proposed approach allows providing qualitative and quantitative analysis of the impact of various factors of the corresponding control systems.  
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WEPSB015 On the Integro-Differential Equations for Dynamics of Interacting Charged Particles Modeling 392
 
  • D.A. Ovsyannikov
    St. Petersburg State University, St. Petersburg, Russia
  • N.S. Edamenko
    Saint Petersburg State University, Saint Petersburg, Russia
 
  In this paper we investigate the integro-differential model for the dynamics of charged particles with smooth interaction for the analysis and optimization of intense charged particle beams motion in accelerating and focusing structures. Introduced mathematical models allows us to calculate the first variation of the different functionals characterizing the desired parameters of accelerators in analytical form. Thus mathematical model can be effectively used in the analysis and optimization of charged particles dynamics in accelerators.  
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WEPSB023 Formation of a Given Distribution of the Beam in the Periodic Channel 411
 
  • S.N. Andrianov
    St. Petersburg State University, St. Petersburg, Russia
  • N.S. Edamenko
    Saint Petersburg State University, Saint Petersburg, Russia
 
  The article considers the problem of forming a predetermined distribution density of the beam (in the phase or configuration space) in a periodic channel. The proposed approach is based on a method of constructing a beam mapping in the form of a truncated series consisting from matrices up to necessary order of nonlinearities. Similar approach allows us to formulate the given task as an optimization problem for some special functionals, created from parameters of the accelerator. Some results of the testing tasks are demonstrated.  
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