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%matplotlib inline

Generating Example Gaussian Boundary Data

In this example you will be generating some example data and extrapolate this using the basic potential extrapolator.

You can start by importing the necessary module components.



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# Module imports
from solarbextrapolation.example_data_generator import generate_example_data, dummyDataToMap

You also need the ability to convert astropyunits.



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import astropy.units as u

You need to define the parameters of the eare, includsing the x and y ranges as astropy quantities with angular or distance units and the grid shape.



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# Input parameters:
arr_grid_shape = [ 20, 22 ]         # [ y-size, x-size ]
qua_xrange = u.Quantity([ -10.0, 10.0 ] * u.arcsec)
qua_yrange = u.Quantity([ -11.0, 11.0 ] * u.arcsec)

The generated data will consist of a 2D space with 2 Gaussian spots, one positive and one negative, on a background of 0.0. solarbextrapolation.example_data_generator provides many ways to achieve this, including letting it randomly generate the position, magnitude and size of each spot/pole.



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# To randomly generate 2 poles simply don't add any pole parameters:
arr_Data = generate_example_data(arr_grid_shape, qua_xrange, qua_yrange)
# Note: each time you run this pole positions/magnitudes will change.

We can now convert this into a a sunpy map object:



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aMap = dummyDataToMap(arr_Data, qua_xrange, qua_yrange)

We can see this map using peek:



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aMap.peek()

To manually position poles, simply build lists of parameters for each pole. It's often easiest to use percentage units for location/size, wheer we compare to the maps region. arrA0 = [ Position, size, Max Magnitude ]



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arrA0 = [ u.Quantity([ 25, 25 ] * u.percent), 10.0 * u.percent,  0.2 * u.T ]
arrA1 = [ u.Quantity([ 75, 75 ] * u.percent), 10.0 * u.percent, -0.2 * u.T ]

# To generate and view:
arr_Data = generate_example_data(arr_grid_shape, qua_xrange, qua_yrange, arrA0, arrA1)
aMap = dummyDataToMap(arr_Data, qua_xrange, qua_yrange)
aMap.peek()

But absolute positioning using the map range units is also possible



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arrA2 = [ u.Quantity([ -6,  6 ] * u.arcsec), 2 * u.arcsec, -0.2 * u.T ]
arrA3 = [ u.Quantity([  6, -7 ] * u.arcsec), 2 * u.arcsec,  0.2 * u.T ]

# To generate and view:
arr_Data = generate_example_data(arr_grid_shape, qua_xrange, qua_yrange, arrA2, arrA3)
aMap = dummyDataToMap(arr_Data, qua_xrange, qua_yrange)
aMap.peek()

You can add as many poles as you want:



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arr_Data = generate_example_data(arr_grid_shape, qua_xrange, qua_yrange, arrA0, arrA1, arrA2, arrA3)
aMap = dummyDataToMap(arr_Data, qua_xrange, qua_yrange)
aMap.peek()

And being a map you can use all the normal SunPy functions, such as saving the map using aMap.save(filepath).