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1mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria
J. Ko1,2, J. Chung1
Experimental validation of atomic data for motional Stark effect diagnostics
The 1st IAEA Research Coordination Meeting onData for Atomic Processes of Neutral Beams in Fusion Plasmas
19 – 21 June 2017, IAEA Headquarters, Vienna, Austria
1National Fusion Research Institute, Daejeon, Korea2University of Science and Technology, Daejeon, Korea
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 2
Scope of the project
•High‐precision measurements of beam‐emission spectra from KSTAR discharges
•Development of a spectra analysis tool with a modulated interface for atomic data
Experimental validation of atomic data for motional Stark effect diagnostics
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 3
Issues to address
Calculated spectra are not always reproduce experimental observations.
… especially, when we are dealing with polarized light.
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 4
Issues to address #1Reflections on mirrors distort polarization properties.
Vacuum window
PEM
LensesMirror
Linearpolarizer
Dichroicbeam splitter
MSE focal plane CES focal plane
Incident light
Plane‐of‐incidence
Normal reflective surface
P‐pol
S‐pol
Lee et al, Fusion Eng. Des. (In press)
Plane‐of‐incidence
(Multi‐layer) dielectric‐coated surface
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 5
Issues to address #1Specialized dielectric coating works for present tokamaks…
Vacuum window
PEM
LensesMirror
Linearpolarizer
Dichroicbeam splitter
MSE focal plane CES focal plane
Incident light
P‐pol
S‐pol
Lee et al, Fusion Eng. Des. (In press) But not for ITER …
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 6
Issues to address #2Faraday effect rotates the polarization angle.
ch16, 008, 20151103, ic=stef3
0.0 0.5 1.0 1.5 2.0Bt (T)
89.089.590.090.591.0
pol (
deg)
-0.50.00.51.01.52.0 δpol (deg)δpol (from Bt = 0) = -0.007 + 0.828 x Bt
Ko et al, Rev. Sci. Instrum. 88, 063505 (2017)
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 7
Issues to address #3Background polarized light does exist in a tokamak.
0.10
1.00
10.00
0.1 1 10 100signal-to-background ratio
nl_04 (1e20)0.2 ~ 0.40.6 ~ 0.81.0 ~ 1.2
0.1 1 10 100Ch1 (87.21 cm) Ch9 (81.75 cm)
Statisti cal errorin pitch angle (deg)Alcator C‐Mod
Ko, PhD Dissertation, MIT (2006)
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 8
Issues to address #3Background polarized light does exist in a tokamak.
Statistical error in pitch angle (deg)
1 10 100Signal to background ratio
0.1
1.0
10.0nebar (1e20/m3)
0.20.5
0, /home/m
sea/mse_ps/m
se_study_bkg_20160818.ps, Mon Apr 18 17:57:29 2016
0.10
1.00
10.00
0.1 1 10 100signal-to-background ratio
nl_04 (1e20)0.2 ~ 0.40.6 ~ 0.81.0 ~ 1.2
0.1 1 10 100Ch1 (87.21 cm) Ch9 (81.75 cm)
Statisti cal errorin pitch angle (deg)Alcator C‐Mod
Ko, PhD Dissertation, MIT (2006)
KSTAR
0.2
0.6
2060
100
0 2 4 6 8 10 sec0.01.02.03.0
659 660 661 662 nm
0, mse_spec_show
_10000.ps, Fri Oct 17 10:28:27 2014
KSTAR#10000
ne (1e19/m3)
Ip (MA)
σππ
σππ
σ ππ
V2 V3Beam energy (keV)
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 9
Issues to address #4Practically, multiple ion sources are used in NBI heating
Ko et al, J. Inst. 8, P1009 (2015)
12
3
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 10
Issues to address #4Practically, multiple ion sources are used in NBI heating
0, mse_spec_show
_10515.ps, Fri Oct 17 10:59:15 2014
0.2
0.6
2060
100
0 1 2 sec0.01.02.03.0
659 660 661 662 nm
KSTAR#10515
ne (1e19/m3)
V1V2
Ip (MA)
V3Beam energy (keV)
Ko et al, J. Inst. 8, P1009 (2015)
12
3
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 11
Outline of the activities
Spectral analysis
High‐resolution spectrummeasurements ( 0.05 nm)
Atomic models(NOMAD, ADAS etc)
Mirror reflections
Faraday rotation
Polarized background
Multi‐ion‐source injection
Existing (conventional) MSE‐ Input for model validation‐ Comparison with spectral analyses
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 12
Outline of the activities
Spectral analysis
High‐resolution spectrummeasurements ( 0.05 nm)
Atomic models(NOMAD, ADAS etc)
Mirror reflections
Faraday rotation
Polarized background
Multi‐ion‐source injection
Existing (conventional) MSE‐ Input for model validation‐ Comparison with spectral analyses
Code validation
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 13
Outline of the activities
Spectral analysis
High‐resolution spectrummeasurements ( 0.05 nm)
Atomic models(NOMAD, ADAS etc)
Mirror reflections
Faraday rotation
Polarized background
Multi‐ion‐source injection
Existing (conventional) MSE‐ Input for model validation‐ Comparison with spectral analyses
Code validation
ITER MSEprototype
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 14
How the known pitch angles help the code validation?
x
z (v)
y
B
B T
E = v BX Tαθ
φ
θe
ey
Voslamber, Rev. Sci. Instrum. 66, 2892 (1995)Ko et al, Rev. Sci. Instrum. 81, 10D702 (2010)
I: Intensity of pure sigma & pi when viewed perpendicular to the Lorentz electric field E.
,
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 15
Using ADAS for I’s can reduce the systematic error
1100713 (45 shots)
0.34 0.36 0.38 0.40 0.42 0.44 0.46On-axis |B| from ADAS (T)
0.34
0.36
0.38
0.40
0.42
0.44
0.46
On-
axis
|B| f
rom
theo
retic
mod
el (T
)
1, 1100713a_a4_adas.ps, Wed Jul 28 03:14:59 2010
1100714 (97 shots)
0.34 0.36 0.38 0.40 0.42 0.44 0.46On-axis |B| from ADAS (T)
0.34
0.36
0.38
0.40
0.42
0.44
0.46
On-
axis
|B| f
rom
theo
retic
mod
el (T
)
1, 1100714a_a4_adas.ps, Wed Jul 28 03:15:04 2010
2 ~ 3 % of systematic error can be reduced over the range of typical MST operating conditions, when compared with the analytic model* which tends to overestimate |B|.
*W. Mandl et al. Plasma Phys. Controlled Fusion 35, 1373 (1993)Ko et al, Rev. Sci. Instrum. 83, 10D513 (2012)
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 16
Reliable inputs possible from the existing KSTAR MSE
Front optics
Filter & detector module
VW
PEM (M
DB
P
NBI
tan(2P ) I(2I(2
Fibers( 40 m)
Ko et al, Rev. Sci. Instrum. 88, 063505 (2017)Ko et al, Fusion Eng. Des. 109‐111 (2016) 742‐746Chung et al, Rev. Sci. Instrum. 87, 11E503 (2016)Chung et al, Rev. Sci. Instrum. 85, 11D827 (2014)
• Operational since 2015• Conventional polarimetric (photo‐elastic modulation) method
• 25 channels with radial resolutions < 2 cm with ~ 10 msec interval
• Most of the systematic errors (Faraday, mirror reflections, geometric projections) have been calibrated.
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 17
Reliable inputs possible from the existing KSTAR MSE
Front optics
Filter & detector module
VW
PEM (M
DB
P
NBI
tan(2P ) I(2I(2
Fibers( 40 m)
KSTAR#7331F6C4
656 658 660 662 nm
0
Zeeman-split Dα
Zeeman-split Hα
Two Zeeman-split CII(657.81, 658.29)
MSE multiplets
> 20 times
a.u.
0.5e4
1.0e4
1.5e4
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 18
Reliable inputs possible from the existing KSTAR MSE
KSTAR#7331F6C4
656 658 660 662 nm
0
Zeeman-split Dα
Zeeman-split Hα
Two Zeeman-split CII(657.81, 658.29)
MSE multiplets
> 20 times
a.u.
0.5e4
1.0e4
1.5e4
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 19
Reliable inputs possible from the existing KSTAR MSE
KSTAR#7331F6C4
656 658 660 662 nm
0
Zeeman-split Dα
Zeeman-split Hα
Two Zeeman-split CII(657.81, 658.29)
MSE multiplets
> 20 times
a.u.
0.5e4
1.0e4
1.5e4
Spectral region for photo‐elastic modulation‐ Narrow bandpass filter is used
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 20
Very simple spectral analysis already helping bandpass filter calibrations
ch12, 2000.5mm, 2.9T, 100/00/00keV, , fwhm = 0.18nm, w_qr = 0.2/0.2, +0.30 nm, 3.44 deg, 12640a
658 659 660 661 662 6630.0
0.2
0.4
0.6
0.8
1.0
Filter function
Convolutedtransmission onlyaccepts components.
0 1 2 3 4
MeasurementModel
•Filter tuning: 0.2 ‐ 0.4 nm red‐shift from +3pi
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 21
Very simple spectral analysis already helping bandpass filter calibrations
90919293949596
pitch angle (deg)
0.140.160.180.200.220.240.26
lpf
0.0 0.2 0.4 0.6cwl offset from +3pi (nm)
0.0005
0.0010
0.0015
0.0020
0.0025
sqrt(a12^2+a22^2)
2.2T, ch03
•Quantitative analysis on lpf, cpf etcenables precise determination of the optimized amount of filter offset.
•Recently, this calibration has been performed from beam‐into‐gas injection tests (independent of the regular plasma run time).
0.91.01.1
-1.0 -0.5 0.0 0.5 1.0temporal frac�on around a crash
0.9
1.0
1.1
(a) Te (keV)
(b) q0
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 22
Direct derivation of q from pitch angle –q0 correlated with sawtooth events
Ko, Rev. Sci. Instrum. 87 (2016) 11E541
• q0 evolving around 1 – expected not to be well below 1 after the offset correction.
• q0 < 1 occurs before the sawtooth crash (confirming the internal kink) and the current build‐up (q0 > 1) is slow after the crash.
R. Giannella et al, Rev. Sci. Instrum. 75 (2004) 4247‐4250C. Petty et al, Plasma Phys. Control. Fusion 47 (2005) 1077‐1100
0.91.01.1
-1.0 -0.5 0.0 0.5 1.0temporal frac�on around a crash
0.9
1.0
1.1
(a) Te (keV)
(b) q0
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 23
Direct derivation of q from pitch angle –q0 correlated with sawtooth events
Ko, Rev. Sci. Instrum. 87 (2016) 11E541
• q0 evolving around 1 – expected not to be well below 1 after the offset correction.
• q0 < 1 occurs before the sawtooth crash (confirming the internal kink) and the current build‐up (q0 > 1) is slow after the crash.
Shot #18186 (Tue 23 May 2017)
1.0
1.5
2.0
2.5
10.0 10.1 10.2 10.3 10.4 10.50.90
0.95
1.00
1.05
1.10
0, ./mse_ps/m
se_display_qprofile_18186a.ps, Fri Jun 9 10:05:43 2017
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 24
Flat (or near‐hollow) q profiles with q0 1.5 during steady ITB formation.
0.0 0.2 0.4 0.6 0.8 1.0r/a:0
2
4
6
8
sa�e
y fa
ctor
, q
16498 (ITB/H/L) 2.8 sec (ITB) 4.5 sec (H-mode) 6.7 sec (L-mode)
1, ./mse_ps/m
se_display_qprofile_itp_160928d.ps, Fri Oct 28 09:38:36 2016
Inferred directly from MSE data using analytic models
ITB H‐mode L‐mode
Ko et al, Rev. Sci. Instrum. 88, 063505 (2017)
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 25
Flat (or near‐hollow) q profiles with q0 1.5 during steady ITB formation.
Inferred directly from MSE data using analytic models
0.0 0.2 0.4 0.6 0.8 1.0r/a:0
2
4
6
8
sa�e
y fa
ctor
, q
16498 (ITB/H/L) 2.8 sec (ITB) 4.5 sec (H-mode) 6.7 sec (L-mode)
1, ./mse_ps/m
se_display_qprofile_itp_160928d.ps, Fri Oct 28 09:38:36 2016
ITB
Ko et al, Rev. Sci. Instrum. 88, 063505 (2017)
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 26
Flat (or near‐hollow) q profiles with q0 1.5 during steady ITB formation.
0.0 0.2 0.4 0.6 0.8 1.0r/a:0
2
4
6
8
sa�e
y fa
ctor
, q
16498 (ITB/H/L) 2.8 sec (ITB) 4.5 sec (H-mode) 6.7 sec (L-mode)
1, ./mse_ps/m
se_display_qprofile_itp_160928d.ps, Fri Oct 28 09:38:36 2016
17250 (steady ITB) 2.8 sec (ITB) 5.0 sec (ITB) 6.8 sec (ITB)
Inferred directly from MSE data using analytic models
ITB
Ko et al, Rev. Sci. Instrum. 88, 063505 (2017)
mon 19 jun 2017, j ko, iaea‐crp‐neutral, vienna, austria 27
Time line for work plan • Construction of self‐calibrated high‐precision ( 0.05 nm) spectral diagnostic
• Development of a single‐ion‐source‐injection fitting routine and interface for existing atomic data and modeling packages (such as NOMAD, ADAS etc)
• Introduction of the polarization‐distortion effects to the spectral analysis suite• Systematic comparison with the PEM‐base MSE
• Evaluation and assessment of the atomic data used in the spectral analyses• Optimization of the spectral analysis suite for ITER application
Year 1 (2017)
Year 2 (2018)
Year 3 (2019)