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OT. 05/12/11, East Lansing Beam Shapes version 9.2.88 1 1D-shape 1. Gaussian Sigma=1 => Area = 2.51 St.Dev = 1 2. Gauss.(cut @ 1 sigma) Sigma=1 => Area = 1.74 St.Dev = 0.55 3. Rectangle uniform Half-width=1 => Area = 2.00 St.Dev = 0.58 4. Ellipse uniform(proj.) Semi-axis=1 => Area = 1.56 St.Dev = 0.51 See the next slide

Beam Shapes - LISE++lise.nscl.msu.edu/9_2/9_2_85/9_2_88_shapes.pdf · 2011-05-12 · Beam shapes : K1200 9. OT. 04/29/11, East Lansing MOCADI beam shapes 10. Title: PowerPoint Presentation

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Page 1: Beam Shapes - LISE++lise.nscl.msu.edu/9_2/9_2_85/9_2_88_shapes.pdf · 2011-05-12 · Beam shapes : K1200 9. OT. 04/29/11, East Lansing MOCADI beam shapes 10. Title: PowerPoint Presentation

OT. 05/12/11, East Lansing

Beam Shapesversion 9.2.88

1

1D-shape

1. Gaussian Sigma=1 => Area = 2.51 St.Dev = 1

2. Gauss.(cut @ 1 sigma) Sigma=1 => Area = 1.74 St.Dev = 0.55

3. Rectangle uniform Half-width=1 => Area = 2.00 St.Dev = 0.58

4. Ellipse uniform(proj.) Semi-axis=1 => Area = 1.56 St.Dev = 0.51

See the next slide

Page 2: Beam Shapes - LISE++lise.nscl.msu.edu/9_2/9_2_85/9_2_88_shapes.pdf · 2011-05-12 · Beam shapes : K1200 9. OT. 04/29/11, East Lansing MOCADI beam shapes 10. Title: PowerPoint Presentation

OT. 05/12/11, East Lansing

1D - shapes

2

Ell

ips

e u

nif

orm

(pro

j.)

Ga

us

sia

n

Ga

us

s.(

cu

t @

1 s

igm

a)

Re

cta

ng

le u

nif

orm

Page 3: Beam Shapes - LISE++lise.nscl.msu.edu/9_2/9_2_85/9_2_88_shapes.pdf · 2011-05-12 · Beam shapes : K1200 9. OT. 04/29/11, East Lansing MOCADI beam shapes 10. Title: PowerPoint Presentation

OT. 05/12/11, East Lansing

2D - shapes (for Monte Carlo mode)

3

Assignment for 1D-shapes,

which are used for the

Distribution method

Four 2D-shapes.

Hollow configurations (which are not physical)

are designed for debug purposes

File used for the next slides: http://groups.nscl.msu.edu/lise//9_2/9_2_85/A1900_extended_2011_v5.lpp

Page 4: Beam Shapes - LISE++lise.nscl.msu.edu/9_2/9_2_85/9_2_88_shapes.pdf · 2011-05-12 · Beam shapes : K1200 9. OT. 04/29/11, East Lansing MOCADI beam shapes 10. Title: PowerPoint Presentation

OT. 05/12/11, East Lansing

2D - shapes : after target

4

Ellipse uniform

Ellipse hollow Rectangle hollow

Rectangle uniform

Page 5: Beam Shapes - LISE++lise.nscl.msu.edu/9_2/9_2_85/9_2_88_shapes.pdf · 2011-05-12 · Beam shapes : K1200 9. OT. 04/29/11, East Lansing MOCADI beam shapes 10. Title: PowerPoint Presentation

OT. 05/12/11, East Lansing

2D - shapes : after 1st dipole (1st order)

5

Ellipse uniform

Ellipse hollow Rectangle hollow

Rectangle uniform

Page 6: Beam Shapes - LISE++lise.nscl.msu.edu/9_2/9_2_85/9_2_88_shapes.pdf · 2011-05-12 · Beam shapes : K1200 9. OT. 04/29/11, East Lansing MOCADI beam shapes 10. Title: PowerPoint Presentation

OT. 05/12/11, East Lansing

2D - shapes : after Image 2 (Z059) (1st order)

6

Ellipse uniform

Ellipse hollow Rectangle hollow

Rectangle uniform

Page 7: Beam Shapes - LISE++lise.nscl.msu.edu/9_2/9_2_85/9_2_88_shapes.pdf · 2011-05-12 · Beam shapes : K1200 9. OT. 04/29/11, East Lansing MOCADI beam shapes 10. Title: PowerPoint Presentation

OT. 05/12/11, East Lansing

2D - shapes : after Image 4 (Z104) (1st order)

7

Ellipse uniform

Ellipse hollow Rectangle hollow

Rectangle uniform

Page 8: Beam Shapes - LISE++lise.nscl.msu.edu/9_2/9_2_85/9_2_88_shapes.pdf · 2011-05-12 · Beam shapes : K1200 9. OT. 04/29/11, East Lansing MOCADI beam shapes 10. Title: PowerPoint Presentation

OT. 05/12/11, East Lansing

2D - shapes : after Image 4 (Z104) (2nd order)

8

Ellipse uniform

Ellipse hollow Rectangle hollow

Rectangle uniform

Page 9: Beam Shapes - LISE++lise.nscl.msu.edu/9_2/9_2_85/9_2_88_shapes.pdf · 2011-05-12 · Beam shapes : K1200 9. OT. 04/29/11, East Lansing MOCADI beam shapes 10. Title: PowerPoint Presentation

OT. 04/29/11, East Lansing

Beam shapes : K1200

9

Page 10: Beam Shapes - LISE++lise.nscl.msu.edu/9_2/9_2_85/9_2_88_shapes.pdf · 2011-05-12 · Beam shapes : K1200 9. OT. 04/29/11, East Lansing MOCADI beam shapes 10. Title: PowerPoint Presentation

OT. 04/29/11, East Lansing

MOCADI beam shapes

10