1 / 10

An analytic formula for track extrapolation in an inhomogeneous magnetic field

KIP. An analytic formula for track extrapolation in an inhomogeneous magnetic field. Sergey Gorbunov Ivan Kisel DESY, Zeuthen KIP , Uni-Heidelberg. ACAT 2005, DESY, Zeuthen May 22-27, 2005. Extrapolation in Magnetic Field.

ksena
Download Presentation

An analytic formula for track extrapolation in an inhomogeneous magnetic field

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. KIP An analytic formula for track extrapolation in an inhomogeneous magnetic field Sergey Gorbunov Ivan Kisel DESY, Zeuthen KIP, Uni-Heidelberg ACAT 2005, DESY, Zeuthen May 22-27, 2005

  2. Extrapolation in Magnetic Field Differential equation of charged particle motion in a magnetic field Along Z direction : S. Gorbunov, I. Kisel

  3. Analytic Expression Coefficients: Equation of motion: Extrapolation error: S. Gorbunov, I. Kisel

  4. Analytic Expression Features B(z) Real track (theoretically) Track guess (practically) B( (z0+z)/2 ) B(z0) z0 z (z0+z)/2 • Features : • Field is taken as a function of z coordinate. S. Gorbunov, I. Kisel

  5. Analytic Expression Features • Features : • The precision of extrapolation does not depend on a shape of the magnetic field. • One can cut off the higher-order terms in the series. S. Gorbunov, I. Kisel

  6. Analytic 3 Example: Third order extrapolation in a homogeneous By field Small parameter: S. Gorbunov, I. Kisel

  7. Coefficients in the Analytic Formula (CBM) Analytic Light Analytic 1 Analytic 2 Analytic 3 S. Gorbunov, I. Kisel

  8. Performance of Extrapolation (CBM) S. Gorbunov, I. Kisel

  9. Implementation in CBM CA Track Finder ALL MC TRACKS RECONSTRUCTABLE TRACKS Number of hits >= 4 REFERENCE TRACKS Momentum > 1 GeV S. Gorbunov, I. Kisel

  10. Conclusion • An analytic formula of extrapolation in magnetic field has been derived • Precision of extrapolation does not depend on a shape of the field. • The implementation in the CBM track fitting procedure has the same accuracy as the fourth-order Runge-Kutta method. S. Gorbunov, I. Kisel

More Related