220 likes | 369 Views
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.
E N D
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 σy a σx x a = 7.3 cm b = 3.5 cm Filling pattern 72 16 72 16 72 16 264 buckets
The problem is in the Beam Kick Computation y b E σy a σx x
The problem is in the Beam Kick Computation y b E σy a σx x
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
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
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:
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:
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
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
Beam Kick Computation for a tall beam y b E σy a σx x
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
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:
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:
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
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
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
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
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
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
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