Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2....
Transcript of Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2....
![Page 1: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/1.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Focusing field in modulator simulations
Jun Ma, Roman Samulyak, Kwangmin Yu
Department of Applied Mathematics and Statistics
Stony Brook University
2016.2.18
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 2: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/2.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Numerical setting
Domain
Transversal : 4e-3m (14 × Debyelength) open boundary
Longitudinal : 2e-5m (20 × Debyelength) periodic boundary
Grid number : 20 per Debye length
Electron
Gaussian in x, y
Uniform in z
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
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SettingLinear Focusing Field
Self-Consistent Focusing
k=3e+11 V/m2
k=1e+9 V/m2
k=1e+8 V/m2
Linear focusing field
~E0(x) =me
e
σ2
r20
(x − x0)
G. Bell et al., VLASOV AND PIC SIMULATIONS OF A
MODULATOR SECTION FOR COHERENT ELECTRON
COOLING, Proceedings of 2011 Particle Accelerator Conference,
New York, NY, USA, MOP067.
Implemented as
~E = k~x
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
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SettingLinear Focusing Field
Self-Consistent Focusing
k=3e+11 V/m2
k=1e+9 V/m2
k=1e+8 V/m2
Transversal velocity distribution, k=3e+11 V /m2
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 5: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/5.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
k=3e+11 V/m2
k=1e+9 V/m2
k=1e+8 V/m2
Transversal velocity distribution, k=3e+11 V /m2
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 6: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/6.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
k=3e+11 V/m2
k=1e+9 V/m2
k=1e+8 V/m2
Transversal number distribution, k=3e+11 V /m2
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 7: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/7.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
k=3e+11 V/m2
k=1e+9 V/m2
k=1e+8 V/m2
Transversal number distribution, k=3e+11 V /m2
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 8: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/8.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
k=3e+11 V/m2
k=1e+9 V/m2
k=1e+8 V/m2
Transversal velocity distribution, k=1e+9 V /m2
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 9: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/9.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
k=3e+11 V/m2
k=1e+9 V/m2
k=1e+8 V/m2
Transversal velocity distribution, k=1e+9 V /m2
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 10: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/10.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
k=3e+11 V/m2
k=1e+9 V/m2
k=1e+8 V/m2
Transversal number distribution, k=1e+9 V /m2
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 11: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/11.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
k=3e+11 V/m2
k=1e+9 V/m2
k=1e+8 V/m2
Transversal number distribution, k=1e+9 V /m2
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 12: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/12.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
k=3e+11 V/m2
k=1e+9 V/m2
k=1e+8 V/m2
Transversal velocity distribution, k=1e+8 V /m2
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 13: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/13.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
k=3e+11 V/m2
k=1e+9 V/m2
k=1e+8 V/m2
Transversal velocity distribution, k=1e+8 V /m2
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 14: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/14.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
k=3e+11 V/m2
k=1e+9 V/m2
k=1e+8 V/m2
Transversal velocity distribution, k=1e+8 V /m2
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 15: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/15.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
k=3e+11 V/m2
k=1e+9 V/m2
k=1e+8 V/m2
Transversal number distribution, k=1e+8 V /m2
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 16: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/16.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
k=3e+11 V/m2
k=1e+9 V/m2
k=1e+8 V/m2
Transversal number distribution, k=1e+8 V /m2
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 17: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/17.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
k=3e+11 V/m2
k=1e+9 V/m2
k=1e+8 V/m2
Transversal number distribution, k=1e+8 V /m2
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 18: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/18.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Self-consistent focusing
Estimate expansion velocity
Subtract expansion effect
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 19: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/19.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Expansion velocity
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 20: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/20.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Expansion velocity
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 21: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/21.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Expansion velocity
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 22: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/22.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Transversal velocity distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 23: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/23.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Transversal velocity distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 24: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/24.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Transversal velocity distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 25: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/25.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Transversal velocity distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 26: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/26.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Transversal number distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 27: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/27.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Transversal number distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 28: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/28.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Transversal number distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 29: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/29.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Transversal number distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 30: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/30.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Expansion velocity
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 31: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/31.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Expansion velocity
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 32: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/32.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Transversal velocity distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 33: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/33.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Transversal velocity distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 34: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/34.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Transversal number distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations
![Page 35: Stony Brook Universitycase.physics.sunysb.edu/images/b/b8/Meeting_02_18_2016.pdf · 2016. 2. 18. · Stony Brook University 2016.2.18 Jun Ma, Roman Samulyak, Kwangmin Yu Focusing](https://reader035.fdocuments.us/reader035/viewer/2022071505/612534a8fd69f323c4381423/html5/thumbnails/35.jpg)
SettingLinear Focusing Field
Self-Consistent Focusing
Without SmoothingWith Smoothing
Transversal number distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Focusing field in modulator simulations