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Assessment and mitigation of
wall light reflection in ITER
by ray tracing
Shin Kajita
Nagoya University
Evgeny Veshchev, Maarten De Bock,
Robin Barnsley, Manfred von Hellemann, Michael Walsh
ITER Organization
The views and opinions expressed herein do not necessarily reflect those of the ITER Organization.
Acknowledgement ITER Organization
Steve Lisgo, Michael Walsh
RSC Kurchatov Institute
Andrei Kukushkin
QST
Eiichi Yatsuka, Hiroaki Ogawa, Tatsuo Sugie,
Kiyoshi Itami
Wall reflection in fusion devices
Da During an ELM
• reflections is small ~typically<10% for divertor view channels, but can be significant ~50% for other view chords.
E. Hollmann, RSI (2003).
DIII-D (2003) JET (2013), ILW
The ratio of divertor stray light (DSL) to SOL light, DSL/SOLL vary from ~1 to 5
A.B. Kukushkin, EFDA-JET-CP(13)04/05 (2013).
-Reflectance is ~50% for W and Be. -Reflectance is higher than carbon based machines (~10%) (In IR range, it is much higher (~90%).)
-Reflectance should increase by roughly one order of magnitude when changing from C to W.
ITER: full metallic walls
Contrast of emission/signal can be high in ITER
• Emission in the divertor region, which is
several (2-3) orders of magnitudes greater
than those from SOL.
• CXRS, beam attenuation can be three orders
of magnitude. (Core signal is very very weak
compared with the edge signal)
Typical emission
profile in ITER (calc.
by S. Lisgo)
Model
Assessment of stray light in ITER
• Ha monitor (SOL spectroscopy)
• DIM (divertor impurity monitor)
• CXRS (Charge exchange recombination
spectroscopy)
• Edge laser Thomson scattering
Mitigation of stray light
Contents
LightTools (Illumination Design Software) is a 3D optical
engineering and design software product that supports
virtual prototyping, simulation, optimization, and
photorealistic renderings of illumination
applications. (synopsys home page)
Ray tracing software LightTools
Stray light modeling in SOL
• First walls and divertor tiles
were installed.
• To reduce the time of the
calculation and the file size,
only eighteenth of the
whole toroidal section (20
degree) was installed to the
model
• Two perfect mirrors were
installed for the boundaries.
• Hundreds of toroidal shaped sources are installed.
• Ray tracing has been done using LightTool for the assessment of
the influence of the optical reflection at the wall.
Stray light modeling using LightTools
• First walls and divertor tiles
were installed.
• To reduce the time of the
calculation and the file size,
only eighteenth of the
whole toroidal section (20
degree) was installed to the
model
• Two perfect mirrors were
installed for the boundaries.
• Ray tracing has been done using LightTool for the assessment of
the influence of the optical reflection at the wall.
• Source was simplified. The number of the source was reduced to
~500.
+y -y
+y
-y +y
-y
Ray tracing using LightTools
• Since the source profile is toroidally asymmetric, 3D full vessel model is required for (i) active CXRS.
• 1/18th toroidal section model is used for (ii) cold components and (iii) brems, in which the sources are toroidally symmetric.
Assessment of wall reflection for
Edge Thomson Scattering
Laser beam
Intermediate image
FOV of collection optics
DSM aperture
M3
M4 M2 M1
Entrance pupil
This part was modeled precisely.
• 1:1 relationship between the positions on FOV and the intermediate image. • Real size entrance pupil.
Specular and diffuse reflectance
• Optical reflectance property is one of the important parameters.
• Diffuse reflectance, Rd, and specular reflectance, Rs.
• Specular reflectance, we usually assume Gaussan with 12 degree in full 1/e width.
Optical reflectance property (DIM)
• Reflectance is ~50% for Be
and W in visible range.
• For divertor impurity monitor
system, measured BRDF was
used.
• The profile can be well fitted
with double Gaussian and
Lambertian profiles.
Model
Assessment of stray light in ITER
• Ha monitor (SOL spectroscopy)
• DIM (divertor impurity monitor)
• CXRS (Charge exchange recombination
spectroscopy)
• Edge laser Thomson scattering
Mitigation of stray light
Contents
Case Pedestal/
Edge
Far-SOL
v_perp (m/s)
Far-SOL
Te (eV)
d L-mode 30 10
e H-mode 30 10
f L 30 20
g H 30 20
h L 65 10
i H 65 10
j L 65 20
k H 65 20
l L 100 10
m H 100 10
n L 100 20
o H 100 20
1000
800
600
400
200
0
Em
iss
ion
po
we
r [W
]
d e f g h i j k l m n o
From divertor
From SOL
Emission in different discharge scenarios
•Emission profiles of Ha and Be I
(457.4 nm) calculated by S. Lisgo are
used in the model.
•Scenarios l-o are quite different from
scenarios d-k.
Ha
Be I (457.4 nm)
6
103
2
4
6
104
2
4
6
105
2
4
Em
iss
ion
po
we
r [W
]
d e f g h i j k l m n o
From divertor
From SOL
Typical radiance profiles (2D)
300
200
100
0
-100
-200
-300
y [
mm
]
200 100 0 -100 -200
x [mm]
2.5 Mrays
-13
-12
-11
-10
-9
-8
Lo
g(
Illu
min
an
ce [
W/m
m2]
)
300
200
100
0
-100
-200
-300
y [
mm
]
200 100 0 -100 -200
x [mm]
2.5 Mrays
-13
-12
-11
-10
-9
-8
Lo
g (
Ill
um
inan
ce [
W/m
m2]
Without
reflection
With reflection
Reflection 50%
(25% diffusive reflection, 25% specular
reflection (6 degree Gausian))
Comparisons in case d and case o (Ha)
• The ratio of diffusive to
specular reflection was
changed from 98% to 2%.
• Increase in the diffusive
components flatten the
emission profile. However,
the influence to the global
picture is not significant.
Total reflection is important.
• Stray light is estimated to be
one to two orders of
magnitude greater than the
real signal.
S. Kajita et al., PPCF(2013).
Model
Assessment of stray light in ITER
• Ha monitor (SOL spectroscopy)
• DIM (divertor impurity monitor)
• CXRS (Charge exchange recombination
spectroscopy)
• Edge laser Thomson scattering
Mitigation of stray light
Contents
• For DP, one peak around
strike point.
• For UPP and EPP, two
peaks exist around the
inner and outer regions.
• The stray light level is not
so significant compared
with the SOL cases.
• Typically the stray light is
comparable or less than
of the real signal.
]
Ha cases DP-outer DP-inner
UPP EPP
S. Kajita et al., JNM (2015).
]
Be cases
• Different from H-alpha
cases, stray light could be
much greater in some
parts.
• E.g., for EPP and UPP, the
stray light above divertor
dome could be one to two
orders of magnitude
greater than the real
signal.
• Almost the same situation
for SOL measurements.
DP-outer
DP-inner
UPP EPP
S. Kajita et al., JNM (2015).
Model
Assessment of stray light in ITER
• Ha monitor (SOL spectroscopy)
• DIM (divertor impurity monitor)
• CXRS (Charge exchange recombination
spectroscopy)
• Edge laser Thomson scattering
Mitigation of stray light
Contents
Diagnostic beam D, H
H(NB) + Az+ H+ + A(z-1)+ (n=n1) H+ + A(z-1)+ (n=n2)+hn
(i) Reflection of active CXR signals
(ii) Cold components
(iii) Bremsstrahlung
Diagnostic beam
Active cxr signal can be identified in the
high density case
Typical power profile at the receiver (upper port)
Difference is clearly identified in
UPP receiver in the high density
scenario. Other cases, the
influence is not significant.
Fraction of diffusive reflection component is important
S. Kajita et al., PPCF(2015).
• He emission radiance for three FOV.
Fraction of divertor reflection component is important
The peak of the cold component from the divertor and SOL is more than 105 times greater than the CXRS signal, indicating that the detector can be easily saturated even if it has a 16 bit resolution.
It is necessary to take into account this effect.
Brems. can be twice
higher by the reflection
In high density case, the SNR is lower than 10 in r<0.4. In those region, the increase in SNR may have some impact even by ~50%.
Assessment of stray light in ITER
• Ha monitor (SOL spectroscopy)
• DIM (divertor impurity monitor)
• CXRS (Charge exchange recombination
spectroscopy)
• Edge laser Thomson scattering
Mitigation of stray light
Contents
Brems light reflection from div. region is OK, but line
emission from div. region could be crutial
28
450-600 nm
Core bremsstrahlung
Edge/SOL bremsstrahlung
Line emissions Solid lines: Reflective wall Dotted lines: Absorptive wall
Emission profile in plasma was referred from one of the attachment (#2436: qpeak=10 MW/m2 on divertor target and Prad=43 MW) of [ITER_D_LFL2FN] which was obtained thorough a density scan for the carbon-free ITER divertor with Ne seeding computed by SOLPS 4.3 code.
Intensities of line emissions especially for visible lines are drastically increased due to wall reflection because the source of line emission is dominantly near the X-point.
700-800 nm 900-1000 nm
Then, how to mitigate?
• Viewing dump
• Detailed spectrum analysis
• Ray tracing may help to mitigate it.
…
Then, how to mitigate?
• Viewing dump
• Detailed spectrum analysis
• Ray tracing may help to mitigate it.
…
Viewing dump may decrease the stray
light level by an order of magnitude
Depending on the position, the viewing dump can decrease the stray light level to less than 10%. S. Kajita, PPCF (2013).
Usage of transfer matrix
ai is the coefficient corresponding the intensity
of the source. The intensity profile for source k
at position x is denoted as Ik(x).
Ji(x): ray tracing transfer matrix.
If the set of ai is obtained, radiance profile can be reconstructed.
Simplified 60 sources were used for the model.
Radiance is the summation of
the contribution of sources.
w/o reflection w/ reflection
• Obtain the set of ai by comparison to the case with reflection.
• Reconstruct the radiance without reflection using the transfer matrix w/o reflection.
• Reflection was well compensated.
• No further ray tracing run is necessary once developing the matrix.
Ha case
S. Kajita et al., Contrib. Plasma Phys. (2016)
Stray light level could be decreased significantly
by usage of ray tracing transfer matrix
Total stray light level could be decreased significantly typically less than 10 % if the original stray light level is 50-100%.
• Using the reconstructed
a and another transfer
matrix, stray light in
SOL FOV was assessed.
• SOL stray light was well
assessed.
Using DIV-IMP data,
SOL stray light can be
assessed with the help of
ray tracing simulation
Prediction of stray light
After the transfer matrix was constructed, no simulation run
required; this can be implemented in the analysis procedure.
• Influence of the stray light is modeled using LightTool
for Ha monitor, DIM, and CXRS, edge TS in ITER.
• In Ha monitor, stray light will dominate the signal.
Viewing dumps are inevitable.
• In DIM, since the real signal itself is high, the stray light
seemed to be minor for Ha. For Be, it could be
significant in some parts where the real intensity is weak.
• In CXRS, the influence of reflection should be taken into
account in the core region. (CXRS signal from edge, cold
component, and brems)
• For TS, reflected line emission from divertor can be
significant contribution of photon noise.
• Ray tracing can also be used to mitigate the stray light
using ray transfer matrix method with no additional run.
Conclusions
• Emission of active signal profile was calculated using SOS code.
• In low density case, the signal decreases by two orders of magnitude, while it decreases by three orders of magnitude in the high density scenario.
Emission source profile
Be cases
• In Be cases, the influence
was better than H alpha
cases.
• The stray light level can be
still more than one order
of magnitude greater than
the real signal.
• Diffusive reflectance may
increase the stray light in
some parts; the influence
is minor.
S. Kajita et al., PPCF(2013).
Stray light can be increased in the
range of Rd/Rs < 20 %
0.01
0.1
1
10
100
Str
ay
lig
ht
/ s
ign
al [%
]
100806040200
Rd/Rs [%]
Low density scenario
r
r
r
r 0.01
0.1
1
10
100
Str
ay
lig
ht
/ s
ign
al [%
]
100806040200
Rd/Rs [%]
High density scenario
r
r
r
r
Rd: diffuse reflectance, Rs: specular reflectance
Stray light significantly increased decreased for 0<Rd/Rs<20%.
When Rd/Rs~20%, the stray light can be ~20% in the core.
BRDF (bidirectional reflectance distribution function) is important to know
• Emission of active signal profile was calculated using SOS code.
• In low density case, the signal decreases by two orders of magnitude, while it decreases by three orders of magnitude in the high density scenario.
Discharge scenarios / emission profile
Three different wall reflections in CXRS
(i) Reflection of active CXR signals
Strong active CXR signal at the edge can be harmful to the core.
(ii) Cold components
Emission from the cold edge/divertor emission line will complicate the analysis.
(iii) Bremsstrahlung
Bremsstrahlung intensity can be increased by the wall reflection.
Transfer matrix
Simplified 60 sources were used
for the model.
W/o reflection, the profiles have
a simple shape with one peak.
When considering the reflection,
the profiles become complicated.
w/o reflection w/ reflection
w/o reflection w/ reflection
Usage of ray tracing for mitigation
• Ray tracing calculation can
be implemented in the
analysis procedure to
consider the effects of reflection.
Radiance is the summation of the
contribution of sources.
In matrix expression
Jk is transfer matrix for kth receiver a is radiance profile.
If radiance profile (a) can be
reconstructed using transfer
matrix, it can be used for
mitigation.
Transfer matrix example
Simplified 60 sources were used for the model.
W/o reflection, the profiles have a simple shape with one
peak. When considering the reflection, the profiles become
complicated.
w/o reflection w/ reflection
Two discharge scenarios
• Two different scenarios, i.e. low density and high density scenarios, are chosen.