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Simulations of polarized dust emission for the analysis of Planck data
WARNING : This is work in progress !

Emission vs. extinction polarization simulations

Cloud at 150 pc : Data
Cloud at 1 kpc : Data

Small-scale MHD simulations

3 clumps (13 pc on each side) extracted from the "fiducial run" of a MHD simulation of colliding WNM flows, described here

clump #67072       Details on this clump can be found here
clump #67342       Details on this clump can be found here
clump #67690       Details on this clump can be found here

Large-scale MHD simulations

A 500pc box MHD simulation of decaying turbulence.

Figures

Synthetic magnetic field (no uniform component) - "Kolmogorov" density field

Description of how the "turbulent" magnetic field is generated is given here.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field (no uniform component) - Uniform density field

Description of how the "turbulent" magnetic field is generated is given here.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic turbulent field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Synthetic magnetic field with uniform component 0.2 in direction (1,0,0)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,0,0) in the (X,Y,Z) frame, and strength 0.2 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 0.2 in direction (1,1,0)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,1,0) in the (X,Y,Z) frame, and strength 0.2 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 0.2 in direction (1,1,1)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,1,1) in the (X,Y,Z) frame, and strength 0.2 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 0.4 in direction (1,0,0)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,0,0) in the (X,Y,Z) frame, and strength 0.4 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 0.4 in direction (1,1,0)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,1,0) in the (X,Y,Z) frame, and strength 0.4 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 0.4 in direction (1,1,1)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,1,1) in the (X,Y,Z) frame, and strength 0.4 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 0.6 in direction (1,0,0)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,0,0) in the (X,Y,Z) frame, and strength 0.6 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 0.6 in direction (1,1,0)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,1,0) in the (X,Y,Z) frame, and strength 0.6 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 0.6 in direction (1,1,1)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,1,1) in the (X,Y,Z) frame, and strength 0.6 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 0.8 in direction (1,0,0)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,0,0) in the (X,Y,Z) frame, and strength 0.8 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 0.8 in direction (1,1,0)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,1,0) in the (X,Y,Z) frame, and strength 0.8 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 0.8 in direction (1,1,1)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,1,1) in the (X,Y,Z) frame, and strength 0.8 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 1.0 in direction (1,0,0)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,0,0) in the (X,Y,Z) frame, and strength 1.0 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 1.0 in direction (1,1,0)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,1,0) in the (X,Y,Z) frame, and strength 1.0 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 1.0 in direction (1,1,1)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,1,1) in the (X,Y,Z) frame, and strength 1.0 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 5.0 in direction (1,0,0)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,0,0) in the (X,Y,Z) frame, and strength 5.0 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 5.0 in direction (1,1,0)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,1,0) in the (X,Y,Z) frame, and strength 5.0 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 5.0 in direction (1,1,1)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,1,1) in the (X,Y,Z) frame, and strength 5.0 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 10.0 in direction (1,0,0)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,0,0) in the (X,Y,Z) frame, and strength 10.0 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 10.0 in direction (1,1,0)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,1,0) in the (X,Y,Z) frame, and strength 10.0 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :

Synthetic magnetic field with uniform component 10.0 in direction (1,1,1)

Description of how the "turbulent" magnetic field is generated is given here.
The uniform component has a direction (1,1,1) in the (X,Y,Z) frame, and strength 10.0 relative to the dispersion of the turbulent component.
The "Kolmogorov" density field has a -11/3 spectral index.
The values "β(A)" listed below refer to the components of the vector potential. The spectral index of the magnetic field components is 2-β(A).

β(A)=1.0   β(A)=1.1   β(A)=1.2   β(A)=1.3   β(A)=1.4   β(A)=1.5   β(A)=1.6   β(A)=1.7   β(A)=1.8   β(A)=1.9
β(A)=2.0   β(A)=2.1   β(A)=2.2   β(A)=2.3   β(A)=2.4   β(A)=2.5   β(A)=2.6   β(A)=2.7   β(A)=2.8   β(A)=2.9
β(A)=3.0   β(A)=3.1   β(A)=3.2   β(A)=3.3   β(A)=3.4   β(A)=3.5   β(A)=3.6   β(A)=3.7   β(A)=3.8   β(A)=3.9
β(A)=4.0   β(A)=4.1   β(A)=4.2   β(A)=4.3   β(A)=4.4   β(A)=4.5   β(A)=4.6   β(A)=4.7   β(A)=4.8   β(A)=4.9
β(A)=5.0   β(A)=5.1   β(A)=5.2   β(A)=5.3   β(A)=5.4   β(A)=5.5   β(A)=5.6   β(A)=5.7   β(A)=5.8   β(A)=5.9
β(A)=6.0   β(A)=6.1   β(A)=6.2   β(A)=6.3   β(A)=6.4   β(A)=6.5   β(A)=6.6   β(A)=6.7   β(A)=6.8   β(A)=6.9
β(A)=7.0

Evolution of the I,Q,U spectral indices with that of the magnetic field components.

With respect to the spectral index of the x component :

With respect to the spectral index of the y component :

With respect to the spectral index of the z component :