what photometric images have (and haven’t) taught us about
TRANSCRIPT
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What Photometric Images Have (and Haven’t)
Taught us About TSI
Stephen Walton, San Fernando Observatory
Cal State Northridge
SORCE 2004October 28, 2004
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What Photometric Images Have (and Haven’t)
Taught us About TSI
Stephen Walton, San Fernando Observatory
Cal State Northridge
SORCE 2004October 28, 2004
Colleagues
![Page 3: What Photometric Images Have (and Haven’t) Taught us About](https://reader033.vdocuments.net/reader033/viewer/2022042410/625ea5f3c6168e2ec277ef89/html5/thumbnails/3.jpg)
What Photometric Images Have (and Haven’t)
Taught us About TSI
Stephen Walton, San Fernando Observatory
Cal State Northridge
SORCE 2004October 28, 2004
Colleagues
Gary ChapmanAngela Cookson
Jan DobiasDora Preminger
![Page 4: What Photometric Images Have (and Haven’t) Taught us About](https://reader033.vdocuments.net/reader033/viewer/2022042410/625ea5f3c6168e2ec277ef89/html5/thumbnails/4.jpg)
What Photometric Images Have (and Haven’t)
Taught us About TSI
Stephen Walton, San Fernando Observatory
Cal State Northridge
SORCE 2004October 28, 2004
Colleagues
Gary ChapmanAngela Cookson
Jan DobiasDora Preminger
and students too numerous to mention. . .
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What Photometric Images Have (and Haven’t)
Taught us About TSI
Stephen Walton, San Fernando Observatory
Cal State Northridge
SORCE 2004October 28, 2004
Colleagues
Gary ChapmanAngela Cookson
Jan DobiasDora Preminger
and students too numerous to mention. . .
We also gratefully acknowledge the continuing support of CSUN, NASA,and NSF for the photometry program at SFO.
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Outline
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Outline
• Overview of the Problem
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Outline
• Overview of the Problem• Our Data: SFO Photometric Images
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Outline
• Overview of the Problem• Our Data: SFO Photometric Images• Results
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Outline
• Overview of the Problem• Our Data: SFO Photometric Images• Results
– Modeling TSI From Ground Based Photometric Images
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Outline
• Overview of the Problem• Our Data: SFO Photometric Images• Results
– Modeling TSI From Ground Based Photometric Images– Photometry of Individual Solar Features
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Outline
• Overview of the Problem• Our Data: SFO Photometric Images• Results
– Modeling TSI From Ground Based Photometric Images– Photometry of Individual Solar Features– Bolometric Image and “Image”
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Outline
• Overview of the Problem• Our Data: SFO Photometric Images• Results
– Modeling TSI From Ground Based Photometric Images– Photometry of Individual Solar Features– Bolometric Image and “Image”
• Summary and Future Work
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Overview
Goal: Understand the sources of variability of the total solar irradiance S
and its dependence on wavelength
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Overview
Goal: Understand the sources of variability of the total solar irradiance S
and its dependence on wavelength
A Partial List of Questions
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Overview
Goal: Understand the sources of variability of the total solar irradiance S
and its dependence on wavelength
A Partial List of Questions
• What do we conclude about contributions to changes in S due tochanges in the spectrum?
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Overview
Goal: Understand the sources of variability of the total solar irradiance S
and its dependence on wavelength
A Partial List of Questions
• What do we conclude about contributions to changes in S due tochanges in the spectrum?
• What are the effects of various solar features on S?
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Overview
Goal: Understand the sources of variability of the total solar irradiance S
and its dependence on wavelength
A Partial List of Questions
• What do we conclude about contributions to changes in S due tochanges in the spectrum?
• What are the effects of various solar features on S?
• What might we learn from newly available bolometric images?
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SFO Photometric Images
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SFO Photometric Images
• CFDT1: 5′′ × 5′′ pixels
– Began operation in 1985
– 672.3 nm, 10 nm bandpass (average level 0.98 continuum)
– 393.4 nm, 1 nm bandpass added Spring 1988
– 472.3 nm, 10 nm bandpass added Spring 1988
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SFO Photometric Images
• CFDT1: 5′′ × 5′′ pixels
– Began operation in 1985
– 672.3 nm, 10 nm bandpass (average level 0.98 continuum)
– 393.4 nm, 1 nm bandpass added Spring 1988
– 472.3 nm, 10 nm bandpass added Spring 1988
• CFDT2: 2.5′′ × 2.5′′ pixels
– Began operation in 1992
– Same three bandpasses as CFDT1 plus
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SFO Photometric Images
• CFDT1: 5′′ × 5′′ pixels
– Began operation in 1985
– 672.3 nm, 10 nm bandpass (average level 0.98 continuum)
– 393.4 nm, 1 nm bandpass added Spring 1988
– 472.3 nm, 10 nm bandpass added Spring 1988
• CFDT2: 2.5′′ × 2.5′′ pixels
– Began operation in 1992
– Same three bandpasses as CFDT1 plus
– 393.4 nm, 0.3 nm bandpass
– 997.0 nm, 10 nm bandpass
– 780.0 nm, 10 nm bandpass added 2003
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Definitions
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Definitions
• S: the total solar irradiance as a function of time
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Definitions
• S: the total solar irradiance as a function of time
• I(x, y): intensity of solar disk at x, y
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Definitions
• S: the total solar irradiance as a function of time
• I(x, y): intensity of solar disk at x, y
• Iq(µ): quiet sun limb darkening curve in same units as I(x, y)
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Definitions
• S: the total solar irradiance as a function of time
• I(x, y): intensity of solar disk at x, y
• Iq(µ): quiet sun limb darkening curve in same units as I(x, y)
• Contrast C(x, y) ≡ I(x,y)Iq(µ) − 1
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Modeling S
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Modeling S
• A generic photometric quantity X can be computed by
X =∑
feature pixels
AiCiφ(µi)
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Modeling S
• A generic photometric quantity X can be computed by
X =∑
feature pixels
AiCiφ(µi)
– Ai: area of the i’th feature pixel, in fractions of the solar disk– Ci: measured contrast of the ith feature pixel– µi: cos θ of the i’th pixel, θ the heliocentric angle– φ(µ): limb darkening curve normalized to unit integral over disk
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Modeling S
• A generic photometric quantity X can be computed by
X =∑
feature pixels
AiCiφ(µi)
– Ai: area of the i’th feature pixel, in fractions of the solar disk– Ci: measured contrast of the ith feature pixel– µi: cos θ of the i’th pixel, θ the heliocentric angle– φ(µ): limb darkening curve normalized to unit integral over disk
• SFO computes the following:
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Modeling S
• A generic photometric quantity X can be computed by
X =∑
feature pixels
AiCiφ(µi)
– Ai: area of the i’th feature pixel, in fractions of the solar disk– Ci: measured contrast of the ith feature pixel– µi: cos θ of the i’th pixel, θ the heliocentric angle– φ(µ): limb darkening curve normalized to unit integral over disk
• SFO computes the following:– Dr = red deficit (sum over red sunspot pixels)
![Page 33: What Photometric Images Have (and Haven’t) Taught us About](https://reader033.vdocuments.net/reader033/viewer/2022042410/625ea5f3c6168e2ec277ef89/html5/thumbnails/33.jpg)
Modeling S
• A generic photometric quantity X can be computed by
X =∑
feature pixels
AiCiφ(µi)
– Ai: area of the i’th feature pixel, in fractions of the solar disk– Ci: measured contrast of the ith feature pixel– µi: cos θ of the i’th pixel, θ the heliocentric angle– φ(µ): limb darkening curve normalized to unit integral over disk
• SFO computes the following:– Dr = red deficit (sum over red sunspot pixels)– Er = red excess (red facular pixels)
![Page 34: What Photometric Images Have (and Haven’t) Taught us About](https://reader033.vdocuments.net/reader033/viewer/2022042410/625ea5f3c6168e2ec277ef89/html5/thumbnails/34.jpg)
Modeling S
• A generic photometric quantity X can be computed by
X =∑
feature pixels
AiCiφ(µi)
– Ai: area of the i’th feature pixel, in fractions of the solar disk– Ci: measured contrast of the ith feature pixel– µi: cos θ of the i’th pixel, θ the heliocentric angle– φ(µ): limb darkening curve normalized to unit integral over disk
• SFO computes the following:– Dr = red deficit (sum over red sunspot pixels)– Er = red excess (red facular pixels)– Σr = red photometric sum (all pixels on the red images)
![Page 35: What Photometric Images Have (and Haven’t) Taught us About](https://reader033.vdocuments.net/reader033/viewer/2022042410/625ea5f3c6168e2ec277ef89/html5/thumbnails/35.jpg)
Modeling S
• A generic photometric quantity X can be computed by
X =∑
feature pixels
AiCiφ(µi)
– Ai: area of the i’th feature pixel, in fractions of the solar disk– Ci: measured contrast of the ith feature pixel– µi: cos θ of the i’th pixel, θ the heliocentric angle– φ(µ): limb darkening curve normalized to unit integral over disk
• SFO computes the following:– Dr = red deficit (sum over red sunspot pixels)– Er = red excess (red facular pixels)– Σr = red photometric sum (all pixels on the red images)– DK , EK , and ΣK computed similarly from Ca II K images.
![Page 36: What Photometric Images Have (and Haven’t) Taught us About](https://reader033.vdocuments.net/reader033/viewer/2022042410/625ea5f3c6168e2ec277ef89/html5/thumbnails/36.jpg)
Modeling S
• A generic photometric quantity X can be computed by
X =∑
feature pixels
AiCiφ(µi)
– Ai: area of the i’th feature pixel, in fractions of the solar disk– Ci: measured contrast of the ith feature pixel– µi: cos θ of the i’th pixel, θ the heliocentric angle– φ(µ): limb darkening curve normalized to unit integral over disk
• SFO computes the following:– Dr = red deficit (sum over red sunspot pixels)– Er = red excess (red facular pixels)– Σr = red photometric sum (all pixels on the red images)– DK , EK , and ΣK computed similarly from Ca II K images.
• S modeled using linear regressions of various combinations of theseindices.
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1/1/86 1/1/88 1/1/90 1/1/92 1/1/94 1/1/96
S (
W m
-2)
1365
1366
1367
Er
& D
r (pp
m)
-2000
-1500
-1000
-500
0
500
Er
Dr
Σ r (
ppm
)
-2000
-1500
-1000
-500
0
500
Σ b (
ppm
)
-3000
-2000
-1000
0
Ek (
ppm
)
2000
4000
6000
8000
10000
12000
Date
1/1/86 1/1/88 1/1/90 1/1/92 1/1/94 1/1/96
Σ k (
ppm
)
2000
4000
6000
8000
10000
(a)
(b)
(c)
(d)
(e)
(f)
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Implications
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Implications
Preminger, Walton, & Chapman 2002, JGR 107, SH6-1
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Implications
Preminger, Walton, & Chapman 2002, JGR 107, SH6-1
• Σr vs. time for cycle 22 is virtually flat ⇒ continuum variations makeno contribution to the 11-year variation in S, although they are highlysignificant on active region timescales
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Implications
Preminger, Walton, & Chapman 2002, JGR 107, SH6-1
• Σr vs. time for cycle 22 is virtually flat ⇒ continuum variations makeno contribution to the 11-year variation in S, although they are highlysignificant on active region timescales
• ΣK is strongly correlated with 11-year variation ⇒ line blanketingchanges drive the 11-year change in S
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Implications
Preminger, Walton, & Chapman 2002, JGR 107, SH6-1
• Σr vs. time for cycle 22 is virtually flat ⇒ continuum variations makeno contribution to the 11-year variation in S, although they are highlysignificant on active region timescales
• ΣK is strongly correlated with 11-year variation ⇒ line blanketingchanges drive the 11-year change in S
• In this view, we divide influences on S by spectrum rather than featuretype
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Implications
Preminger, Walton, & Chapman 2002, JGR 107, SH6-1
• Σr vs. time for cycle 22 is virtually flat ⇒ continuum variations makeno contribution to the 11-year variation in S, although they are highlysignificant on active region timescales
• ΣK is strongly correlated with 11-year variation ⇒ line blanketingchanges drive the 11-year change in S
• In this view, we divide influences on S by spectrum rather than featuretype
• For quantitative analysis, we use a model of the form S = S0+aΣr+
bΣK .
![Page 44: What Photometric Images Have (and Haven’t) Taught us About](https://reader033.vdocuments.net/reader033/viewer/2022042410/625ea5f3c6168e2ec277ef89/html5/thumbnails/44.jpg)
Implications
Preminger, Walton, & Chapman 2002, JGR 107, SH6-1
• Σr vs. time for cycle 22 is virtually flat ⇒ continuum variations makeno contribution to the 11-year variation in S, although they are highlysignificant on active region timescales
• ΣK is strongly correlated with 11-year variation ⇒ line blanketingchanges drive the 11-year change in S
• In this view, we divide influences on S by spectrum rather than featuretype
• For quantitative analysis, we use a model of the form S = S0+aΣr+
bΣK . This matches observed composite S for all of cycle 22 (June1988–Sept 1996) with R = 0.96 and σ = 0.18 W m−2 (130 ppm).
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Date
1/1/89 1/1/91 1/1/93 1/1/95 1/1/97
ppm
-600
-400
-200
0
200
400
600
800
(Σr, ΣΚ)
(Dr, ΣK)
(Σr, EK)
(Σr, EMgII)
∆S
restored (Σr,ΣK)
fit residuals:
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1989 1990 1991 1993 1994 1995
−500
0
500
1000
1500
Date
ppm
∆ S Σ
K Component
Σr Component
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Conclusions on Models of S
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Conclusions on Models of S
• The main source of variability on rotational timescales is sunspot deficit,on solar cycle timescales facular excess.
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Conclusions on Models of S
• The main source of variability on rotational timescales is sunspot deficit,on solar cycle timescales facular excess. Solar features are cause ofmost of TSI variation
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Conclusions on Models of S
• The main source of variability on rotational timescales is sunspot deficit,on solar cycle timescales facular excess. Solar features are cause ofmost of TSI variation
• Solar cycle variations in S are dominated by changes in line blanket-ing:
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Conclusions on Models of S
• The main source of variability on rotational timescales is sunspot deficit,on solar cycle timescales facular excess. Solar features are cause ofmost of TSI variation
• Solar cycle variations in S are dominated by changes in line blanket-ing: not really a surprise when comparing the vertical temperaturestratification of faculae and the quiet sun.
![Page 52: What Photometric Images Have (and Haven’t) Taught us About](https://reader033.vdocuments.net/reader033/viewer/2022042410/625ea5f3c6168e2ec277ef89/html5/thumbnails/52.jpg)
Conclusions on Models of S
• The main source of variability on rotational timescales is sunspot deficit,on solar cycle timescales facular excess. Solar features are cause ofmost of TSI variation
• Solar cycle variations in S are dominated by changes in line blanket-ing: not really a surprise when comparing the vertical temperaturestratification of faculae and the quiet sun.
• When SIM data become available, they should show that the 11-yearvariation in S will be primarily due to changes in the depths of spectrallines
![Page 53: What Photometric Images Have (and Haven’t) Taught us About](https://reader033.vdocuments.net/reader033/viewer/2022042410/625ea5f3c6168e2ec277ef89/html5/thumbnails/53.jpg)
Conclusions on Models of S
• The main source of variability on rotational timescales is sunspot deficit,on solar cycle timescales facular excess. Solar features are cause ofmost of TSI variation
• Solar cycle variations in S are dominated by changes in line blanket-ing: not really a surprise when comparing the vertical temperaturestratification of faculae and the quiet sun.
• When SIM data become available, they should show that the 11-yearvariation in S will be primarily due to changes in the depths of spectrallines⇒ they will mainly occur shortward of 400 nm.
• Extrapolation of model to ΣK = 0 yields a TSI about 0.3 W/m2 belowcurrent solar minimum values
![Page 54: What Photometric Images Have (and Haven’t) Taught us About](https://reader033.vdocuments.net/reader033/viewer/2022042410/625ea5f3c6168e2ec277ef89/html5/thumbnails/54.jpg)
Conclusions on Models of S
• The main source of variability on rotational timescales is sunspot deficit,on solar cycle timescales facular excess. Solar features are cause ofmost of TSI variation
• Solar cycle variations in S are dominated by changes in line blanket-ing: not really a surprise when comparing the vertical temperaturestratification of faculae and the quiet sun.
• When SIM data become available, they should show that the 11-yearvariation in S will be primarily due to changes in the depths of spectrallines⇒ they will mainly occur shortward of 400 nm.
• Extrapolation of model to ΣK = 0 yields a TSI about 0.3 W/m2 belowcurrent solar minimum values
• Modeling effects on climate due to UV variations are important, be-cause the rest of the spectrum likely does not vary much.
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Feature Contributions to S
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Feature Contributions to S
Walton, Preminger, and Chapman 2003, Ap.J. 590, 1088
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Feature Contributions to S
Walton, Preminger, and Chapman 2003, Ap.J. 590, 1088
• The eleven year variation in ΣK is dominated by changes in the ex-cess EK
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Feature Contributions to S
Walton, Preminger, and Chapman 2003, Ap.J. 590, 1088
• The eleven year variation in ΣK is dominated by changes in the ex-cess EK
• Thus, photometry of individual bright K features should tell us the rel-ative contribution of each feature to the 11-year variability in S
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0
0.5
1
1.5
2
2.5
3
Region Size (µ hem)
Latit
ude
(deg
rees
)
Latitude Distribution of Faculae with Area, 1989
0 100 200 300 400 500 600 700 800 900 1000
−80
−60
−40
−20
0
20
40
60
80
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101 102 103 104 1050
2000
4000
6000
8000
10000
12000
A (µhem)
CK(A
)1989199119961989 minus 1996
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Conclusions on Relative Contributions of Features to S
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Conclusions on Relative Contributions of Features to S
• Large features produce most of the change in EK , and by extensionS, from solar maximum to solar minimum.
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Conclusions on Relative Contributions of Features to S
• Large features produce most of the change in EK , and by extensionS, from solar maximum to solar minimum.
• Computations show roughly 80% of the solar cycle change in S is dueto features larger than 100 millionths of the solar hemisphere.
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Conclusions on Relative Contributions of Features to S
• Large features produce most of the change in EK , and by extensionS, from solar maximum to solar minimum.
• Computations show roughly 80% of the solar cycle change in S is dueto features larger than 100 millionths of the solar hemisphere.
• Direct measurements of Dr and EK are less likely to be misleadingthan assumptions about the contrasts of solar features.
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And now. . .
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And now. . .
SBI Bolometric and SFO “Bolometric” Images for 1 September 2003
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Data Availability
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Data Availability
The SFO Web site is http://www.csun.edu/sfo. Daily CFDT1 imagesare available for download; our photometric indices will appear there soon.
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Reconstruction of S From Sunspots Only
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Reconstruction of S From Sunspots Only
• Despite importance of actual photometry, it is simply not available be-fore 1986
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Reconstruction of S From Sunspots Only
• Despite importance of actual photometry, it is simply not available be-fore 1986
• We need some other way to get to S on longer timescales
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Reconstruction of S From Sunspots Only
• Despite importance of actual photometry, it is simply not available be-fore 1986
• We need some other way to get to S on longer timescales• Daily values of RGO areas not well correlated with TSI; graph of area
vs. TSI shows definite curvature (Solanki and Fligge, etc.)
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Reconstruction of S From Sunspots Only
• Despite importance of actual photometry, it is simply not available be-fore 1986
• We need some other way to get to S on longer timescales• Daily values of RGO areas not well correlated with TSI; graph of area
vs. TSI shows definite curvature (Solanki and Fligge, etc.)• Convolution of RGO areas with a finite impulse response (FIR) func-
tion produces an accurate TSI model
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Reconstruction of S From Sunspots Only
• Despite importance of actual photometry, it is simply not available be-fore 1986
• We need some other way to get to S on longer timescales• Daily values of RGO areas not well correlated with TSI; graph of area
vs. TSI shows definite curvature (Solanki and Fligge, etc.)• Convolution of RGO areas with a finite impulse response (FIR) func-
tion produces an accurate TSI model• This FIR shows TSI influences extend both ways in time from spot
emergence.•• See poster by Dora Preminger, this meeting.
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A Few Comments on Solar Features
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A Few Comments on Solar Features
Walton, Preminger, & Chapman 2003, Solar Phys. 213, 301–317
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A Few Comments on Solar Features
Walton, Preminger, & Chapman 2003, Solar Phys. 213, 301–317
• Identify bright and dark features using the three-trigger algorithm (Pre-minger, Walton, & Chapman 2001).
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A Few Comments on Solar Features
Walton, Preminger, & Chapman 2003, Solar Phys. 213, 301–317
• Identify bright and dark features using the three-trigger algorithm (Pre-minger, Walton, & Chapman 2001).
• Allows direct identification of continuum faculae on red images
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A Few Comments on Solar Features
Walton, Preminger, & Chapman 2003, Solar Phys. 213, 301–317
• Identify bright and dark features using the three-trigger algorithm (Pre-minger, Walton, & Chapman 2001).
• Allows direct identification of continuum faculae on red images• Also examined pixels on red images which were co-spatial with Ca II K
facular pixels
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A Few Comments on Solar Features
Walton, Preminger, & Chapman 2003, Solar Phys. 213, 301–317
• Identify bright and dark features using the three-trigger algorithm (Pre-minger, Walton, & Chapman 2001).
• Allows direct identification of continuum faculae on red images• Also examined pixels on red images which were co-spatial with Ca II K
facular pixels• A total of 18 000 sunspots, 147 000 continuum faculae, and 850 000
K faculae studied
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1e-06
1e-05
0.0001
0.001
0.01
0.1
1
10
100
100 1000 10000 100000
dN/d
A p
er im
age
A (µhem)
dN/dA for K Faculae
1989199119921996
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100 101 102 103 104 105
10−6
10−4
10−2
100
102
Area Distribution of PSPT K Faculae
Area (µhem)
dN/d
A (
regi
ons
imag
e−1 µ
hem
−1 )
CFDT1 1991
PSPT 1998
PSPT 2002
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-0.9
-0.8
-0.7
-0.6
-0.5
-0.4
-0.3
-0.2
-0.1
0
0.4 0.5 0.6 0.7 0.8 0.9 1
Cm
ax
µ
Binned Maximum Sunspot Contrast
As < 200 µhem200 < As < 500 µhem
As > 500 µhem
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0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.1
0.11
0.12
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Cm
ax
µ
Maximum Red Facular Contrast
Af < 100 µhem100 < Af < 1000 µhem
Af > 1000 µhem
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-0.04
-0.02
0
0.02
0.04
0.06
0.08
0.1
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Ext
rem
e C
ontra
st
µ
Red regions corresponding to K faculae
Af < 400 µhem400 < Af < 800 µhem
800 < Af < 1600 µhemAf > 1600 µhem
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0
0.005
0.01
0.015
0.02
0.025
0.03
0.035
0.04
0.045
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Bin
ned
aver
age
cont
rast
µ
Red regions corresponding to K faculae
Af < 400 µhem400 < Af < 800 µhem
800 < Af < 1600 µhemAf > 1600 µhem
PFIFA
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“Carry-Away” Conclusions for TSI Modeling
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“Carry-Away” Conclusions for TSI Modeling
1. All faculae and sunspots are not created equal
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“Carry-Away” Conclusions for TSI Modeling
1. All faculae and sunspots are not created equal2. We suggest, following Steinegger et al. among others, that (at mini-
mum) area-dependent sunspot & facular contrasts should be used forTSI modeling
3. While some features which are bright in K are dark in continuum, onaverage bright in K ⇒ bright in continuum