APEX expriment s knob M. Bai, Y. Hao, G. Robert-Demolaize, S. - - PowerPoint PPT Presentation

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APEX expriment s knob M. Bai, Y. Hao, G. Robert-Demolaize, S. - - PowerPoint PPT Presentation

Mar 16, 2024 575 likes •709 views

APEX expriment s knob M. Bai, Y. Hao, G. Robert-Demolaize, S. White, X. Shen, Z. Duan April 25, 2014 Motivation Luminosity reduction due to hourglass effect and s z = k z , s 1 = k 1 , s 2 = k 2 ,

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SLIDE 1

APEX expriment s∗ knob

  • M. Bai, Y. Hao, G. Robert-Demolaize, S. White, X.

Shen, Z. Duan April 25, 2014

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SLIDE 2

Motivation

Luminosity reduction due to hourglass effect and s∗ σz = kzβ∗, s∗

1 = k1β∗, s∗ 2 = k2β∗,

L = L0 ∞

−∞

2 √π exp(−t2)dt 2 + (kzt − k1)2 + (kzt − k2)2 ,

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SLIDE 3

Theory

Matching using quad knobs in insertion region

Figure 1 : One half of insertion region (IR).

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SLIDE 4

Theory

Required v.s. matched s∗ (Courtesy M. Bai).

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10 20 30 40 50

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10 20 30 40 50 Matched s*

x [cm]

Required s*

x [cm]

s*

x

y=x

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10 20 30 40 50

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10 20 30 40 50 Matched s*

y [cm]

Required s*

y [cm]

s*

y

y=x

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SLIDE 5

Theory

Required v.s. matched s∗ (Courtesy M. Bai).

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10 20 30 40 50

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10 20 30 40 50 Matched s*

x [cm]

Required s*

x [cm]

s*

x

y=x

  • 0.006
  • 0.004
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0.002 0.004 0.006

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0.5 1 Matched s*

y [cm]

Required s*

y [cm]

s*

y

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SLIDE 6

Theory

Required v.s. matched s∗ (Courtesy M. Bai).

  • 0.006
  • 0.004
  • 0.002

0.002 0.004 0.006

  • 1
  • 0.5

0.5 1 Matched s*

x [cm]

Required s*

x [cm]

s*

x

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10 20 30 40 50

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10 20 30 40 50 Matched s*

y [cm]

Required s*

y [cm]

s*

y

y=x

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SLIDE 7

Theory

Beta-beat after mathcing (Courtesy M. Bai).

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0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 500 1000 1500 2000 2500 3000 3500 4000 ∆β/β Longitudinal distance [m] Horizontal Vertical

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0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 550 600 650 700 750 ∆β/β Longitudinal distance [m] Horizontal Vertical

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SLIDE 8

Experimental results

Predicted s∗ shift v.s. measured s∗ shift. Error bars reflect standard deviation.

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10 V -20cm H/V -10cm Baseline H +20cm Measured s* shift [cm] Predicted s* shift [cm] Horizontal Vertical

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SLIDE 9

Experimental results

Predicted s∗ shift v.s. measured β∗. Error bars reflect stan- dard deviation.

55 60 65 70 75 80 V -20cm H/V -10cm Baseline H +20cm Measured β* [cm] Predicted s* shift [cm] Horizontal Vertical

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SLIDE 10

Experimental results

s∗ and β∗. Error bars reflect standard deviation.

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20 40 60 80 100 V -20cm H/V -10cm Baseline H +20cm

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20 40 60 80 100 120 β [cm] s* [cm] Predicted s* shift [cm] Horizontal β* Vertical β* Horizontal s* Vertical s*

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SLIDE 11

Experimental results

Predicted s∗ shift v.s. measured βIP. Error bars reflect stan- dard deviation.

55 60 65 70 75 80 85 V -20cm H/V -10cm Baseline H +20cm Measured βIP [cm] Predicted s* shift [cm] Horizontal Vertical

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SLIDE 12

Conclusion

Turn-by-turn BPM based s∗ measurement More sensitive than β∗ measurement, strong coupling in the horizontal plane could be an issue s∗ knob manipulation exhibits linear/nonlinear response range Manupilation with ∼ 20% beta-beat, studies are in progress Further study Improve machine condition for “cleaner”s∗ manipulation and measurement Explore other methods