Author: Ivanov, A.N.
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MOPME011 Matrix Integration of ODEs for Spin-orbit Dynamics Simulation 400
SUSPSNE063   use link to see paper's listing under its alternate paper code  
 
  • A.N. Ivanov, Y. Senichev
    FZJ, Jülich, Germany
  
  MODE (Matrix integration of Ordinary Differential Equations) is a software package that provides nonlinear matrix maps building for spin-orbit beam dynamics simulation. In this article we briefly describe the developed integrated development environment features and present computational comparison with other simulation tools. MODE mathematical model is based on Newton-Lorentz and T-BMT equations that are expanded to Taylor series up to the necessary order of nonlinearity. The numerical algorithm is based on matrix presentation of Lie propagator. Spin-orbit simulation results of MODE are compared with results of COSY Infinity and OptiM. MODE provides a flexible graphic user interface, code auto complete technology and visual designer for accelerators. There is also a possibility to generate codes in different programming languages and parallelization techniques.  
DOI • reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2014-MOPME011  
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THPRO062 Spin Tune Decoherence in Multipole Fields 3017
 
  • Y. Senichev, A.N. Ivanov, A. Lehrach, R. Maier, D. Zyuzin
    FZJ, Jülich, Germany
  • S.N. Andrianov
    St. Petersburg State University, St. Petersburg, Russia
  
  This article analyzes possible limitations in the method to search for the electric dipole moment (EDM) using polarized particles in a storage ring. It is well known that for detection of the electric dipole moment one needs to create such conditions where the particle's spin oscillations can be caused only by the EDM. Really, there are two possible methods for EDM search using a storage ring: resonant spin buildup in a magnetostatic ring and “frozen” spin method in an electrostatic ring with “magic” energy. Both methods have common limitations caused by spin decoherence. In the frame of self consistent theory the reasons of the spin decoherence are classified independently on method and discussed taking into consideration multipole components of external fields, as well as the nonlinearities of RF fields.  
DOI • reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2014-THPRO062  
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THPRO063 Spin Tune Parametric Resonance Investigation 3020
 
  • Y. Senichev, A.N. Ivanov, A. Lehrach, R. Maier, D. Zyuzin
    FZJ, Jülich, Germany
  • S.N. Andrianov
    St. Petersburg State University, St. Petersburg, Russia
  
  The idea of resonant spin oscillation method was modernized and improved in Forschungszentrum Julich in the proposed experiment at the COSY ring. The resonant method is based on spin tune parameterization using transverse RF magnetic or/and electric field. The spin orientation smearing due to the finite spin coherence time (SCT) plays a crucial in the proposed experiment to search for the electric dipole moment. Our analysis is based on the T-BMT differential equations for spin together with shorten motion equations. Using well developed theory of Mathieu's differential equations we have got simplified analytic solution for prediction of spin behavior. In this paper we have numerically evaluated all effects having fundamental contributions from our point of view.  
DOI • reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2014-THPRO063  
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