Injection Channel Field Map and Twiss Parameter Propagation Analysis

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"Explore the detailed analysis of injection channel field maps, trajectory, and propagation of twiss parameters with inflector configurations. Gain insights into the modeling of dipole fringe fields and uniform magnetic fields. Understand the impact of incident offsets and angles on trajectory measurements."

  • Analysis
  • Field Maps
  • Twiss Parameters
  • Inflector Configurations
  • Magnetic Fields

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Presentation Transcript


  1. Interfacing M5 line to Ring D. Rubin August 13, 2014 8/13/14 D. Rubin 1

  2. Model of Injection Channel Field map for dipole fringe field Wuzeng s map 710 cm < x < 719.5cm Inflector axis is at 718.9 cm => map ends at inflector axis + 0.6cm 2.5 cm < y < -2.5 cm 0 < z < 430 cm Approximation: If trajectory extends beyond the map boundary, use the value of B at the boundary. Inflector 1. Wuzeng s map (with 2.35 mrad tilt with respect to dipole fringe map) 711cm < x < 720.5cm (includes all points within inflector aperture) 2.5cm < y < -2.5cm (includes most of points in inf aperture [+-2.8mm]) 0 < z < 430 cm 2. Uniform map B is uniform throughout space. B_y ~ B_magic, B_x=B_z = 0. Note: Field maps extend from 30cm upstream of yoke through to end of inflector. The starting point for tracking propagation of twiss parameters in the next slides is 30cm upstream of the yoke. 8/13/14 D. Rubin 2

  3. Trajectory Inf Aper [mm] Inf B[T] Offset [cm] Angle [mrad] 18 1.4698 -4.5937 21.538 18 1.4513 -5.9190 25.909 36 1.4698 -3.7321 21.266 36 1.4513 -4.6985 24.231 Bwuzeng = 1.4698 Bmagic = 1.4513 30 cm upstream of yoke Note An error in the incident offset of 0.5cm can be compensated by adjusting incident angle 8/13/14 D. Rubin 3

  4. Propagation of Twiss parameters Nominal twiss parameters with E821 inflector 30 cm upstream of yoke Based on Wuzeng field maps 8/13/14 D. Rubin 4

  5. Propagation of Twiss parameters Nominal twiss parameters with 36mm inflector 30 cm upstream of yoke Based on Wuzeng field maps 8/13/14 D. Rubin 5

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