Visualize effect of absorption#
This notebook is an example of how to use the compute_transmission_map function to visualize the effect of (sample) absorption on the intensity in the detector.
Note that the compute_transmission_map function only accounts for the effect of absorption. The measured intensity in the detector can also be impacted by other effects, such as the effect of the solid angle being different for different detector pixels.
For more details, see https://scipp.github.io/scippneutron/user-guide/absorption-correction.html.
[1]:
import scipp as sc
from ess import dream
import ess.dream.data # noqa: F401
from scippneutron.absorption import compute_transmission_map
from scippneutron.absorption.cylinder import Cylinder
from scippneutron.absorption.material import Material
from scippneutron.atoms import ScatteringParams
Load the data#
We load a dataset from a Geant4 simulation only to get access to the detector geometry.
[2]:
dg = dream.io.load_geant4_csv(dream.data.get_path("data_dream0_new_hkl_Si_pwd.csv.zip"))["instrument"]
dg = sc.DataGroup({key: detector["events"]["counter", 0] for key, detector in dg.items()})
dg.keys()
[2]:
dict_keys(['mantle', 'high_resolution', 'sans', 'endcap_backward', 'endcap_forward'])
Inhomogeneity from absorption in mantle detector#
If the sample absorbs or scatters a large fraction of the incoming neutrons, the intensity in the detector will vary even if the scattering is inhomogeneous.
Rod-like sample oriented along x-axis#
[3]:
# The material determines the rate of absorption and scattering
vanadium = Material(
scattering_params=ScatteringParams.for_isotope('V'),
effective_sample_number_density=sc.scalar(0.07192, unit='1/angstrom**3')
)
# The shape determines the shape and the orientation of the sample
rod_shape = Cylinder(
radius=sc.scalar(1, unit='cm'),
height=(height := sc.scalar(5., unit='cm')),
# Cylinder is oriented along the x-axis
symmetry_line=(symmetry_line := sc.vector([1, 0, 0])),
center_of_base=-height * symmetry_line / 2,
)
[4]:
transmission_fraction_mantle = compute_transmission_map(
rod_shape,
vanadium,
beam_direction=sc.vector([0, 0, 1]),
wavelength=sc.linspace('wavelength', 4, 8, 20, unit='angstrom'),
# To make it faster, don't compute the transmission fraction for every detector pixel, it's not necessary for the visualization.
detector_position=dg['mantle'].coords['position']['strip', ::4]['wire', ::2].copy(),
quadrature_kind='cheap',
)
# The visualization expects the `position` coord to denote detector positions, and `wavelength` to be the last dimension.
transmission_fraction_mantle.coords['position'] = transmission_fraction_mantle.coords.pop('detector_position')
dream.instrument_view(transmission_fraction_mantle, dim='wavelength', pixel_size=20.0)
[4]:
[5]:
transmission_fraction_mantle
[5]:
scipp.DataArray (7.55 MB)
- wavelength: 20
- module: 7
- segment: 6
- wire: 16
- strip: 64
- position(module, segment, wire, strip)vector3mm[ 943.604 555.02661538 -1090.82076923], [ 942.84 554.81575 -1040.5775 ], ..., [nan nan nan], [nan nan nan]
Values:
array([[[[[ 943.604 , 555.02661538, -1090.82076923], [ 942.84 , 554.81575 , -1040.5775 ], [ 945.6254 , 554.5434 , -991.7499 ], ..., [ 942.752 , 552.839 , 950.56242857], [ 945.015 , 554.58366667, 1004.142 ], [ 943.2635 , 555.1365 , 1052.0325 ]], [[ 963.72925 , 567.575125 , -1115.85375 ], [ 963.2396 , 569.8276 , -1063.904 ], [ 964.89733333, 564.03366667, -1007.09666667], ..., [ 965.5925 , 564.458 , 966.8775 ], [ 967.7865 , 565.78 , 1022.41 ], [ 967.62233333, 566.11116667, 1074.99333333]], [[ 979.7805 , 576.76125 , -1131.005 ], [ 981.703 , 577.598 , -1075.355 ], [ 981.85066667, 583.9555 , -1029.86333333], ..., [ 981.932 , 584.001 , 991.135 ], [ 979.21933333, 580.10466667, 1040.91333333], [ 978.024 , 587.29 , 1098.1 ]], ..., [[ nan, nan, nan], [ nan, nan, nan], [ nan, nan, nan], ..., [ nan, nan, nan], [ nan, nan, nan], [ nan, nan, nan]], [[ nan, nan, nan], [ nan, nan, nan], [ nan, nan, nan], ..., [ 1192.83 , 755.539 , 1223.09 ], [ nan, nan, nan], [ nan, nan, nan]], [[ nan, nan, nan], [ nan, nan, nan], [ nan, nan, nan], ..., [ nan, nan, nan], [ nan, nan, nan], [ nan, nan, nan]]], [[[ 930.63990909, 573.02954545, -1088.66272727], [ 934.095 , 567.201 , -1040.77 ], [ 931.333 , 573.31 , -986.42633333], ..., [ 929.993 , 572.10666667, 951.29633333], [ 932.59033333, 572.17866667, 1000.79566667], [ 931.83566667, 576.535 , 1052.00666667]], [[ 950.4972 , 587.446 , -1114.008 ], [ 952.32275 , 586.939875 , -1059.615 ], [ 949.79183333, 587.96233333, -1008.96666667], ..., [ nan, nan, nan], [ 957.877 , 589.484 , 1023.26 ], [ 946.067 , 591.768 , 1078.55 ]], [[ 966.92525 , 604.96175 , -1141.2125 ], [ 968.242 , 601.461 , -1081.005 ], [ 970.278 , 605.42133333, -1029.37666667], ..., [ 969.912 , 605.6775 , 995.424 ], [ 967.99 , 605.07633333, 1041.78333333], [ 968.909 , 606.169 , 1096.145 ]], ..., [[ nan, nan, nan], [ nan, nan, nan], [ nan, nan, nan], ..., [ nan, nan, nan], [ nan, nan, nan], [ nan, nan, nan]], [[ 1168.41 , 787.932 , -1412.7 ], [ nan, nan, nan], [ nan, nan, nan], ..., [ nan, 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7.789, 8.0
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- (wavelength, module, segment, wire, strip)float64𝟙0.229, 0.227, ..., 0.294, 0.294
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0.29352901], [0.29352901, 0.13033174, 0.29352901, ..., 0.29352901, 0.29352901, 0.29352901]], [[0.13192752, 0.13027788, 0.12841837, ..., 0.04132898, 0.04172292, 0.29352901], [0.13200056, 0.13003539, 0.12848952, ..., 0.29352901, 0.29352901, 0.0420736 ], [0.13191901, 0.13022692, 0.12839529, ..., 0.04123193, 0.0415983 , 0.04187706], ..., [0.29352901, 0.29352901, 0.29352901, ..., 0.29352901, 0.29352901, 0.29352901], [0.29352901, 0.29352901, 0.29352901, ..., 0.29352901, 0.0413937 , 0.29352901], [0.13205498, 0.29352901, 0.29352901, ..., 0.29352901, 0.29352901, 0.29352901]], [[0.13190676, 0.13023243, 0.1284629 , ..., 0.04110476, 0.04141302, 0.04170858], [0.13194757, 0.13033057, 0.12858298, ..., 0.29352901, 0.04136147, 0.0416776 ], [0.13199613, 0.13018737, 0.12859163, ..., 0.04098491, 0.04131691, 0.0417883 ], ..., [0.29352901, 0.29352901, 0.12861065, ..., 0.04068116, 0.29352901, 0.29352901], [0.29352901, 0.29352901, 0.29352901, ..., 0.04070989, 0.29352901, 0.29352901], [0.13194905, 0.29352901, 0.29352901, ..., 0.29352901, 0.29352901, 0.29352901]], [[0.13192453, 0.13000791, 0.12831827, ..., 0.04069749, 0.04117735, 0.0415606 ], [0.13199859, 0.1301282 , 0.12829595, ..., 0.04077755, 0.29352901, 0.04160667], [0.13196121, 0.1300778 , 0.12834933, ..., 0.0407852 , 0.29352901, 0.04148729], ..., [0.29352901, 0.29352901, 0.29352901, ..., 0.04056152, 0.29352901, 0.29352901], [0.29352901, 0.29352901, 0.29352901, ..., 0.29352901, 0.29352901, 0.29352901], [0.29352901, 0.29352901, 0.29352901, ..., 0.29352901, 0.29352901, 0.29352901]]]]], shape=(20, 7, 6, 16, 64))
Disk-like sample oriented along x-axis#
[6]:
disk_shape = Cylinder(
radius=sc.scalar(5, unit='cm'),
height=(height := sc.scalar(1., unit='cm')),
# Cylinder is oriented along the x-axis
symmetry_line=(symmetry_line := sc.vector([1, 0, 0])),
center_of_base=-height * symmetry_line / 2,
)
transmission_fraction_mantle = compute_transmission_map(
disk_shape,
vanadium,
beam_direction=sc.vector([0, 0, 1]),
wavelength=sc.linspace('wavelength', 4, 8, 20, unit='angstrom'),
# To make it faster, don't compute the transmission fraction for every detector pixel, it's not necessary for the visualization.
detector_position=dg['mantle'].coords['position']['strip', ::4]['wire', ::2].copy(),
quadrature_kind='cheap',
)
# The visualization expects the `position` coord to denote detector positions, and `wavelength` to be the last dimension.
transmission_fraction_mantle.coords['position'] = transmission_fraction_mantle.coords.pop('detector_position')
dream.instrument_view(transmission_fraction_mantle, dim='wavelength', pixel_size=20.0)
[6]:
Does absorption influence the intensity in the endcap detector?#
[7]:
transmission_fraction_endcap = compute_transmission_map(
rod_shape,
vanadium,
beam_direction=sc.vector([0, 0, 1]),
wavelength=sc.linspace('wavelength', 4, 8, 20, unit='angstrom'),
detector_position=dg['endcap_backward'].coords['position']['strip', 0].copy(),
quadrature_kind='cheap',
)
transmission_fraction_endcap.coords['position'] = transmission_fraction_endcap.coords.pop('detector_position')
dream.instrument_view(transmission_fraction_endcap, dim='wavelength', pixel_size=20.0)
[7]:
As expected the impact of absorption on on the intensity in the endcap detector is close to uniform.