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Impact-T study of the AWA exchanger

Impact-T study of the AWA exchanger. Marwan Rihaoui. Full Emittance Exchange at AWA using ImpactT. 1- Dogleg alone [look at position B]. 2- Dogleg – cavity [look at position C]. 3-Dogelg-cavity-Dogleg [look at position D]. D. Lc. B. C. L. A. D. Marwan Rihaoui 4/4/2008.

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Impact-T study of the AWA exchanger

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  1. Impact-T study of the AWA exchanger Marwan Rihaoui

  2. Full Emittance Exchange at AWA using ImpactT. 1- Dogleg alone [look at position B]. 2- Dogleg – cavity [look at position C]. 3-Dogelg-cavity-Dogleg [look at position D]. D Lc B C L A D Marwan Rihaoui 4/4/2008

  3. Single Particle Dynamics Generate Initial particle distribution of 7 particles to get the six phase space R(6*6) matrix A Look for (x-z) plane To get the matrix element At position A At position B R A Marwan Rihaoui 4/4/2008

  4. DOGLEG Model in ImpactT From fort.61 ( developed by Daniel) 0.20 q=15 deg 0.65 Marwan Rihaoui 4/4/2008

  5. Enge coefficients for Dipole Radia Beam =0.308 B profile (version 17) g = gap width = 0.0508m L_b=12cm L_T = 65cm f =26.0 Marwan Rihaoui 4/4/2008

  6. Magnetic Field Profile B profile from Radia beam, (RED) B profile from ImpactT as seen by the particle (Green). B profile from Impact in the beam line (Blue) ( correction by cos(theta)) Marwan Rihaoui 4/4/2008

  7. Cavity Alone From Don Edwards Paper ~23cm d2=25cm d1=25cm M2 M1 M3 Md2 Md1 k/2 k/4 k/4 Simulation John Power Cavity E = 2.1394*Emws and Phase = -30.6 degrees (hence zero crossing) Emws field need to get 0.51MW in the cavity Marwan Rihaoui 4/4/2008

  8. Dogleg Matrix alone Position B Simulation predicted matrix Theory matrix 0 0.9998 0.0017 -0.0000 -0.9998 0 0.0002 -0.0038 -0.0017 -0.0002 0 0.9999 0.0000 0.0038 -0.9999 0 181=127+34+2(10) Marwan Rihaoui 4/4/2008

  9. Position C Dogleg –cavity (before simplification) Theory matrix Assume Simulation from ImpactT. E = 2.1394 and phase of 67.7 degrees Simulation predicted matrix 0 1.0311 0.0017 -0.0015 -1.0311 0-0.0021 -0.0004 -0.0115 0.00210 0.9988 0.00150.0004 -0.9988 0 Marwan Rihaoui 4/4/2008

  10. Position D Simulation predicted matrix Theory matrix 0 1.0444 0.0957 0.0018 -1.0444 0-0.0021 0.0084 -0.0957 -0.1960 0.9982 -0.00180.0084 -0.9982 0 Marwan Rihaoui 4/4/2008

  11. Particle Trajectory Marwan Rihaoui 4/4/2008

  12. Summary • Single particle dynamics: • Realistic model: • Dipole mode cavity described with (E,B) field • Dipole field description conform to “as built” dipole (fringe field etc…) • First order transfer matrix in fair agreement with transfer matrix • Next steps in modeling: • Higher order effect: track an ideal 6-D gaussian distribution • Study chromatic aberrations and impact on exchange • Optimum chirp • Include collective effects (space charge and CSR) and understand how to mitigate them (optimize incoming bending-plane lattice functions) Marwan Rihaoui 4/4/2008

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