a t y lui, d. g. sibeck, t. phan, v. angelopoulos, k.-h. glassmeier, j. mcfadden, c. carlson, d....
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A T Y Lui, D. G. Sibeck, T. Phan, V. Angelopoulos, K.-H. Glassmeier, J. McFadden, C. Carlson, D. Larson, J. Bonnell, + …
Outline Previous:
Reconstruction based on solving Grad-Shafranov equation
Benchmarking of procedure
Results of reconstruction for magnetic flux rope seen by Themis. Present:
Comparison between model and observed parameters
Current density and structure from each Themis satellite.
Reconstruction of plasma configurationfrom Themis observations
Progress Report
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Magnetic flux rope on 2007 May 20 found by David Sibeck
The plasma structures seen by Themis A and E are quite similar.
Observed Structure from Themis S/C10
-1
100
101
-200
-100
0
100
300
200
100
0
-100200
100
0
20
10
-10
0
10
20
0
-2020
10
0
-10
21:50 21:55 22:00 22:05 22:10 22:15 22:20
2007 May 20 THEMIS-A/ESA/FGM
UTXgsm (R E)Ygsm (R E)Zgsm (R E)
-7.5 10.6 6.3
-7.7 10.4 6.2
10-1
100
-200
-100
0
100
200
0
200
100
0
-100
30
20
10
020
10
0
-10
-20
-10
0
10
20
10
0
21:50 21:55 22:00 22:05 22:10 22:15 22:20
2007 May 20 THEMIS-B/ESA/FGM
UTXgsm (R E)Ygsm (R E)Zgsm (R E)
-8.1 9.7 5.6
-8.1 9.5 5.4
10-1
100
101
-200
-100
0
100
200
0
200
100
0
-10040
30
20
1020
10
0
-10
-20
0
20
20
10
0
-10
21:50 21:55 22:00 22:05 22:10 22:15 22:20
2007 May 20 THEMIS-C/ESA/FGM
UTXgsm (R E)Ygsm (R E)Zgsm (R E)
-8.1 9.8 5.6
-8.2 9.6 5.5
10-1
100
-200
0
200
300
200
100
0
200
0
40
20
-20
0
-20
-10
0
10
40
20
0
21:50 21:55 22:00 22:05 22:10 22:15 22:20
2007 May 20 THEMIS-D/ESA/FGM
UTXgsm (R E)Ygsm (R E)Zgsm (R E)
-7.9 10.1 5.8
-8 9.8 5.7
10-1
100
101
-200
-100
0
100
200
100
0
200
100
0
-10030
20
10
-20
-10
0
10
20
10
0
-10
-2020
10
0
-10
21:50 21:55 22:00 22:05 22:10 22:15 22:20
2007 May 20 THEMIS-E/ESA/FGM
UTXgsm (R E)Ygsm (R E)Zgsm (R E)
-7.7 10.5 6.2
-7.8 10.3 6
A B C
D E
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Magnetic Field Strength ContoursFrom David Sibeck
10 nT contours
Red high,
Blue low
13.0
12.5
12.0
11.5
11.0
10.5
10.0
8.0 7.5 7.0 6.5 6.0 5.5 5.0
X (RE)
Magnetosphere
Magnetosheath
30 nT
20 nT
13.0
12.5
12.0
11.5
11.0
10.5
10.0
8.0 7.5 7.0 6.5 6.0 5.5 5.0
X (RE)
A
E
D
C
B
Bx, By
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Vector Potential
Themis B
Themis C
Themis D
Themis E
-500
0
500
22:00 22:01 22:02 22:03 22:04 22:05 22:06
2007 May 20 THEMIS B A1.0
0.8
0.6
0.4
0.2
0.0
-500
0
500
22:00 22:01 22:02 22:03 22:04 22:05 22:06
2007 May 20 THEMIS C A1.0
0.8
0.6
0.4
0.2
0.0
-500
0
500
22:00 22:01 22:02 22:03 22:04 22:05 22:06
2007 May 20 THEMIS D A
-1.0
-0.5
0.0
-500
0
500
22:00 22:01 22:02 22:03 22:04 22:05 22:06
2007 May 20 THEMIS E A
-0.8
-0.6
-0.4
-0.2
0.0
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Comparison of plasma parameters between the model and observed values along the satellite track - red lines denote model values and black lines denote observed values.
Comparison of Plasma Parameters-1
30
25
20
15
22:00 22:01 22:02 22:03 22:04 22:05
-20
-15
-10
-5
20
16
12
8
2007 May 20 Themis BObservedModel
0.4
0.3
0.2
0.1
0.4
0.3
0.2
0.1
30
25
20
15
10
22:00 22:01 22:02 22:03 22:04 22:05
-25
-20
-15
-10
-5
15
10
5
0
2007 May 20 Themis C ObservedModel
0.5
0.4
0.3
0.2
0.1
0.4
0.3
0.2
0.1
40
20
0
22:00 22:01 22:02 22:03 22:04 22:05
10
0
-10
-30
-20
-10
0
10
2007 May 20 Themis D ObservedModel
1.2
1.0
0.8
0.6
0.4
0.2
0.4
0.3
0.2
0.1
-20
-15
-10
-5
22:00 22:01 22:02 22:03 22:04 22:05
20
15
10
5
-20
-15
-10
-5
2007 May 20 Themis E ObservedModel
0.60
0.50
0.40
0.30
0.50
0.40
0.30
0.20
Themis B Themis C Themis D Themis E
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Quantitative comparison of magnetic field components between the model and observed values along the satellite track - black, red, and blue symbols denote x-, y-, and z-components, respectively.
The extremely good agreement is reflected by the correlation coefficients between observed and model values ranging from 0.9978 to 0.9998.
Comparison of Plasma Parameters-2
Themis B Themis C Themis D Themis E
-40
-20
0
20
40
-40 -20 0 20 40
Observed B Components (nT)
cc = 0.9998
Bx By Bz Curve Fit
2007 May 20 Themis B
-40
-20
0
20
40
-40 -20 0 20 40
Observed B Components (nT)
cc = 0.9996
Bx By Bz Curve Fit
2007 May 20 Themis C
-40
-20
0
20
40
-40 -20 0 20 40
Observed B Components (nT)
cc = 0.9978
Bx By Bz Curve Fit
2007 May 20 Themis D
-40
-20
0
20
40
-40 -20 0 20 40
Observed B Components (nT)
cc = 0.9988
Bx By Bz Curve Fit
2007 May 20 Themis E
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Themis D
Parameters From Reconstruction - 1The current density is derived from curl B calculation using the 2D approximation:
The normalized magnetic field vector along the satellite track on the XY-plane is shown by the arrow in the Bz panel.
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∂ /∂z <<∂ /∂x,∂ /∂y-500
0
500
40
20
0
-20-500
0
500
-500
0
500
0.6
0.4
0.2
-500
0
500
-500
0
500
-40
-20
0
20
40
-500
0
500
-500
0
500
-500
0
500
22:01:30 22:01:45 22:02:00 22:02:15 22:02:30 22:02:45 22:03:00
2007 May 20 THEMIS D
B (nT)
J (nA/m2)
P (nPa)
Bx
By
Bz
Jx
Jy
Jz
Pt
Pr
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Themis C
Parameters From Reconstruction - 2
A stronger Bz region is located in the positive y-direction.Current density in the y-direction is quite strong, comparable to that along the z-direction.
-500
0
500
20
0-500
0
500
-500
0
500
0.8
0.6
0.4
0.2
-500
0
500
-500
0
500
10
0
-10-500
0
500
-500
0
500
-500
0
500
22:01:30 22:01:45 22:02:00 22:02:15 22:02:30 22:02:45 22:03:00
2007 May 20 THEMIS C
B (nT)
J (nA/m2)
P (nPa)
Bx
By
Bz
Jx
Jy
Jz
Pt
Pr
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Themis B
Parameters From Reconstruction - 3
Strong and weak Bz regions are present in the positive y-direction. Weak Bz region is located in the negative y-direction.Current densities on the XY-plane are quite strong in comparison with that in the z-direction.
-500
0
500
20
0
-20-500
0
500
-500
0
500
0.6
0.4
0.2
-500
0
500
-500
0
500
-20
0
20
-500
0
500
-500
0
500
-500
0
500
22:01:30 22:01:45 22:02:00 22:02:15 22:02:30 22:02:45 22:03:00
2007 May 20 THEMIS B
B (nT)
J (nA/m2)
P (nPa)
Bx
By
Bz
Jx
Jy
Jz
Pt
Pr
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Themis E
Parameters From Reconstruction - 4
Magnetic field and current density patterns are quite structured in general because Themis E was mainly in the magnetosheath region.
-500
0
500
20
0
-20
-500
0
500
-500
0
500
0.4
0.2
-500
0
500
-500
0
500
10
0
-10-500
0
500
-500
0
500
-500
0
500
22:01:30 22:01:45 22:02:00 22:02:15 22:02:30 22:02:45 22:03:00
2007 May 20 THEMIS E
B (nT)
J (nA/m2)
P (nPa)
Bx
By
Bz
Jx
Jy
Jz
Pt
Pr