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Short-Range Wakes in Elliptical Pipe Geometry

This presentation discusses the theoretical and numerical analysis of short-range wakes in elliptical pipe geometries, focusing on the pumping slot effects. Utilizing tools such as ECHO for time-domain simulations, CST Microwave Studio for modeling, and Matlab for data processing, we examine the accuracy of 3D calculations, scaling laws, and the energy method. Our findings indicate that the loss and kick from the pumping slot are negligible, while resistive wake is dominant. We also highlight that non-smooth bunch shapes increase energy spread, albeit minimally.

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Short-Range Wakes in Elliptical Pipe Geometry

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  1. Short-Range Wakes in Elliptical Pipe Geometry Igor Zagorodnov Beam Dynamics Group Meeting 05.09.05

  2. Pumping slot Theoretical results (Bethe theory) only for

  3. Pumping slot Effect of the slot is small. • Accuracy estimation of the numerical results. • Wake scaling for geometry parameters. Used tools: ECHO (time-domain), CST Microwave Studio (modeling, meshing), Matlab (pre- and postprocessing).

  4. In Out

  5. Accuracy of 3D calculations

  6. Accuracy of 3D calculations

  7. In Out Scaling laws

  8. Scaling laws

  9. Out In

  10. Scaling laws and extrapolation

  11. Energy method (K. Zotter et al. , Impedances and Wakes …, 1998 and K.L.F.Bane, I.A.Zagorodnov, SLAC-PUB-11388, 2005)

  12. Accuracy of the energy method

  13. Energy method

  14. Round (a=3.8, b=3.3) Energy method Old pipe? Direct time-domain with ECHO The energy loss for the new smaller pipe is a little smaller!

  15. Kick

  16. Longitudinal wake for the case of the elliptical pipe (3.8mm)

  17. Shape dependence copper aluminum

  18. Power Loss (Gaussian bunch)

  19. Conclusion • Loss and kick of the pumping slot are negligible • Wake of the absorber is reduced by factor 2 • Resistive wake is dominant • Non-smooth bunch shape (rectangular) increases the energy spread less than by factor 2

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