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Fixing an ECLOUD bug for tall beams

Fixing an ECLOUD bug for tall beams. G. Iadarola , C. Bhat , G. Rumolo , F. Zimmermann. e - cloud Simulation Meeting 27 June 2011. PS bending magnet simulations. y. b. σ y. a. σ x. x. a = 7.3 cm b = 3.5 cm. Filling pattern. 72. 16. 72. 16. 72. 16. 264 buckets.

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Fixing an ECLOUD bug for tall beams

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  1. Fixing an ECLOUD bug for tall beams G. Iadarola, C. Bhat, G. Rumolo, F. Zimmermann e- cloud Simulation Meeting 27 June 2011

  2. PS bending magnet simulations y b σy a σx x a = 7.3 cm b = 3.5 cm Filling pattern 72 16 72 16 72 16 264 buckets

  3. The problem is in the Beam Kick Computation y b E σy a σx x

  4. The problem is in the Beam Kick Computation y b E σy a σx x

  5. The problem is in the Beam Kick Computation y y b E E0 σy σy a σx σx x x Beam field calculated in free space

  6. The problem is in the Beam Kick Computation y y b E0 E σy σy a σx σx x x Beam field calculated in free space Image charge contributions (effect of the perfectly conducting chamber) y Eimag. ch. b a x

  7. Beam kick computation y E0 Beam field calculated in free space σy σx x Based on the Bassetti-Erskine formula: where: Valid in this form only for:

  8. Beam kick computation y E0 Beam field calculated in free space σy σx x Based on the Bassetti-Erskine formula: where: Valid in this form only for:

  9. Beam kick computation y E0 Beam field calculated in free space Image charge contributions (effect of the perfectly conducting chamber) σy σx x Based on the Bassetti-Erskine formula: Image contributions of a point charge: y Eimag. ch. b where: where: a x With: Valid in this form only for: No concern about

  10. Beam kick computation y E0 Beam field calculated in free space Image charge contributions (effect of the perfectly conducting chamber) σy σx x Based on the Bassetti-Erskine formula: Image contributions of a point charge: y Eimag. ch. b where: where: a x With: Valid in this form only for: No concern about

  11. Beam Kick Computation for a tall beam y b E σy a σx x

  12. Beam Kick Computation for a tall beam y y b E0 E σy σy a σx σx x x Beam field calculated in free space Image charge contributions (effect of the perfectly conducting chamber) y Eimag. ch. b a x

  13. Beam kick computation for a tall beam y E0 Beam field calculated in free space σy σx x Based on the Bassetti-Erskine formula: where: Valid in this form only for:

  14. Beam kick computation y E0 Beam field calculated in free space σy σx x x’ Based on the Bassetti-Erskine formula: where: y’ Valid in this form only for:

  15. Beam kick computation y E0 Beam field calculated in free space Image charge contributions (effect of the perfectly conducting chamber) σy σx x x’ Based on the Bassetti-Erskine formula: Image contributions of a point charge: y Eimag. ch. b where: where: a y’ x With: Valid in this form only for: No concern about

  16. PS bending magnet simulations – new version y b σy a σx x a = 7.3 cm b = 3.5 cm Filling pattern 72 16 72 16 72 16 264 buckets

  17. SPS bending magnet simulations y b σy a σx x a = 6.5 cm b = 2.8 cm σx = 1.8 mm σy = 2.7 mm σz = 20.0 cm B. spac. = 25 ns Filling pattern 72 8 72 18 170 buckets

  18. SPS bending magnet simulations y b σy a σx x a = 6.5 cm b = 2.8 cm σx = 1.8 mm σy = 2.7 mm σz = 20.0 cm B. spac. = 25 ns Filling pattern 72 8 72 18 170 buckets

  19. SPS bending magnet simulations y b σy a σx x a = 6.5 cm b = 2.8 cm σx = 1.8 mm σy = 2.7 mm σz = 20.0 cm B. spac. = 25 ns Filling pattern 72 8 72 18 170 buckets

  20. SPS bending magnet simulations y b σy a σx x a = 6.5 cm b = 2.8 cm σx = 1.8 mm σy = 2.7 mm σz = 20.0 cm B. spac. = 25 ns Filling pattern 72 8 72 18 170 buckets

  21. SPS bending magnet simulations y b σy a σx x a = 6.5 cm b = 2.8 cm σx = 1.8 mm σy = 2.7 mm σz = 20.0 cm B. spac. = 25 ns Filling pattern 72 8 72 18 170 buckets

  22. Thanks for your attention!

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