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picture1_Geometry Pdf 166330 | 07   Pandola   Advanced Geometry


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File: Geometry Pdf 166330 | 07 Pandola Advanced Geometry
advanced geometry luciano pandola infn laboratori nazionali del sud corso di formazione geant4 firenze em fields tracking in em fields divide the trajectory of the particle in steps straight free ...

icon picture PDF Filetype PDF | Posted on 24 Jan 2023 | 2 years ago
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                 advanced geometry 
             Luciano Pandola 
       INFN – Laboratori Nazionali del Sud 
        Corso di Formazione Geant4, Firenze 
   EM Fields 
         Tracking in EM fields 
   Divide the trajectory of the particle in "steps" 
      Straight free-flight tracks between consecutive 
       physics interactions 
   In presence of EM fields, the free-flight part 
    between interactions is not straight 
      Change of direction (B-field) or energy (E-field) 
      Effect of fields must be incorporated into the tracking 
       algorithm  CPU-demanding 
   Notice: most codes handle only weak fields 
            -
      An e  at rest will not accelerate, no syncrothron 
       radiation, no avalanche 
     
           Tracking in fields 
    In order to propagate a particle inside a field  the equation of 
      motion of the particle in the field is integrated numerically 
    In general this is best done using a Runge-Kutta (RK) method 
      for the integration of ordinary differential equations 
        Other methods are also available  
    Once the curved path is calculated, Geant4 breaks it up into 
      linear chord segments 
                                                   sagitta 
       
       
    
    The chord segments are determined to closely approximate the 
      curved path 
        In some cases, one step could be split in several helix-turns 
    
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...Advanced geometry luciano pandola infn laboratori nazionali del sud corso di formazione geant firenze em fields tracking in divide the trajectory of particle steps straight free flight tracks between consecutive physics interactions presence part is not change direction b field or energy e effect must be incorporated into algorithm cpu demanding notice most codes handle only weak an at rest will accelerate no syncrothron radiation avalanche order to propagate a inside equation motion integrated numerically general this best done using runge kutta rk method for integration ordinary differential equations other methods are also available once curved path calculated breaks it up linear chord segments sagitta determined closely approximate some cases one step could split several helix turns...

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