1. Fitting to the Linear Region of I’/q
Does fitting to only the linear region stabilise the calibration constant with charge?
And does it improve the resolution?
(5 Parameter fit for resolution: I/q, Q/q and constant in Y.)

2. Changes to calibration constant
Reference Sample: 51, IQ Samples: 55-60
Calibration File: IPByCal17_0dB
Shift:
IPBPM: B
Chi Squared Fitting to all mover steps
Chi Squared Fitting to mover steps 3:7
Calibration Constant
Calibration Constant
Fitting to only the linear range has an effect of between 5-15% on the calibration constant.

3. Stability of Calibration Constant
Reference Sample: 51, IQ Samples: 55-60
Calibration File: IPByCal{10:19}_0dB
Shift:
IPBPM: B
Considering just the linear region does not appear to stabilise the calibration constant with charge (see appendix).
Sometimes difficult to identify linear region.
Some files already approximately linear so little difference in calibration constant for these files.

4. Finding the linear region
Reference Sample: 50,
IQ Samples: 55-60
Calibration File: IPAyCal1_0dB
Shift:
This file has an obvious linear region, not always present.
Reference Sample: 51, IQ Samples: 55-60
Calibration File: IPByCal15_0dB
Shift:

5. Improvements to resolution
Reference Sample: 51, IQ Samples: 54-60
Calibration File: IP{A:C}yCal1_0dB
Jitter Run: jitRun1_0dB
Shift:
IPBPM: A,B,C
IPBPM: A
Fit to mover steps 3:6
Resolution: 60.8nm
Fit to all mover steps
Resolution: 68.6nm
Jitter file taken within linear region.
Improvements to resolution from fitting just the linear region.
IPBPM: B
Fit to all mover steps
Resolution: 65.9nm
All steps within
linear range
IPBPM: C
Fit to mover steps 2:5
Resolution: 69.6nm
Fit to all mover steps
Resolution 71.1nm

6. Resolution for Different Mover Ranges
BPM A
BPM B
BPM C
Mover Settings (1:7)
68.6
65.9
71.1
1:7
67.8
66.5
69.6 *
2:5
60.3 *
65.2 *
72.4
3:5
65.4
66.6
73.0
2:6
60.8
66.0
76.8
3:6
Reference Sample: 51,
IQ Samples: 54-60
Calibration File: IP{B:C}yCal1_0dB
Jitter Run: jitRun1_0dB
Shift:
BPM A
BPM B
BPM C
Mover Settings (1:7)
155
114
74.1
1:7
131 *
111 * 88
2:5
137 75
3:5
159
113
80.5
2:6
168
71 *
3:6
Reference Sample: 51,
IQ Samples: 54-60
Calibration File: IPByCal3_0dB
IPCyCal8_0dB
Jitter Run: jitRun7_0dB
Shift:
BPM A
BPM B
BPM C
Mover Settings (1:7)
16.7 *
28.2 *
104.5 *
1:7 (C)/ 1:9 (AB)
16.8
28.4
111.6
2:5 (C)/ 2:8 (AB)
28.5
110.7
3:5 (C)/ 3:7 (AB)
112.5
2:6 (C)/ 2:7 (AB)
28.7
3:6 (C)/ 3:8 (AB)
Reference Sample: 50,
IQ Samples: 57-62
Calibration File: IPAyCal5_10dB
IPCyCal14_10dB
Jitter Run: jitRun10_10dB
Shift:

7. Next Steps: Polynomial fit
How does polynomial fitting (mover setting to I’/q) affect the resolution?
𝑚𝑜𝑣𝑒𝑟 𝜇𝑚 =𝑎+𝑏 𝐼 ′ 𝑞 +𝑐 𝐼 ′ 𝑞 2 +𝑑 𝐼 ′ 𝑞 3 +…
Order
Fitting Parameters a b c d e f

8. Conclusion
Fitting to just linear region appears to improve resolution.
Doesn’t necessarily lead to a more stable calibration constant with charge.
Future steps: polynomial fitting and improvement to resolution?

9. Calibration constant with charge
Legend???