Warp Simulation Results 4132021 Warp Setup Field Solve

Warp Simulation Results 4/13/2021

Warp Setup – Field Solve • Mesh refinement patches set off of field map positions for expediency • Could be improved to place smaller patches over beampipe • Shown with voltage on beam pipe to illustrate • Global mesh: ~1. 7 mm cell size • MR Patch: ~0. 425 mm cell size • Considerations for time step • Default timestep: 1 e-11 s • Gyroperiod well resolved in all regimes • High KE electrons may cross > 1 cell timestep 2

Field Maps • Solenoids implemented from field maps generated in CST • Solenoid maps are generated for magnets through the Main solenoid • Outgoing side uses flipped versions of the IN maps Bx By Bz 3

Case Parameters ● Maximum expansion: ○ Main @ 0. 1 T (k_Main = 0. 3014); ○ Gun @ 0. 4 T (k_Gun = 4. 59395); ○ k_B 2=1. 20; ○ k_B 1=1. 333; ○ k_T=2. 00; ○ Initial beam radius = 7. 5 mm ● No compression: ○ Main @ 0. 3 T (k_Main = 0. 9042); ○ Gun @ 0. 3 T (k_Gun = 3. 4454); ○ k_B 2=1. 2; ○ k_B 1=1. 333; ○ k_T=3. 00; ○ Initial beam radius = 15 mm ● Maximum compression: ○ Main @ 0. 8 T (k_Main = 2. 4112); ○ Gun @ 0. 1 T (k_Gun = 1. 14848); ○ k_B 2=1. 00; ○ k_B 1=1. 00; ○ k_T=4. 00; ○ Initial beam radius = 15 mm All results shown here are for a beam with: KE = 1 ke. V I = 152 m. A 4

Maximum Expansion – Uniform Distribution 5

No Compression – Uniform Distribution 6

Maximum Compression – Uniform Distribution 7

Maximum Compression – Uniform Distribution Some outliers towards the outside of the bend in region of expansion Beam density on logarithmic scale. Beam projected on Z axis - True beam size not accurately represented in this plot! 8

Mc. Millan Distribution • a = 2. 0 mm 9

Gaussian Distribution – No Compression • �� = 5 mm 10

Gaussian Distribution – No Compression 11

Additional Slides 12

Reference Trajectory • Tracer particles tracked with beam to provide reference for post processing • Result is still noisy after smoothing and difficult to work with • Oscillations seem to prevent accurate calculation of path length Beam path from interpolation Zoomed in Can extract angles from interpolation 13