Beam full divergence

Result

Beam full divergence result

Sample

Beam full divergence sample

Python script

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
#!/usr/bin/env python3
# /// script
# requires-python = ">=3.10"
# dependencies = ["bornagain>=25,<26"]
# ///
"""
An example of taking into account beam angular and wavelength
divergence in reflectometry calculations with BornAgain.
"""
import bornagain as ba
ba.require_versions("bornagain>=25,<26")
from bornagain import angstrom, deg, nm

# input parameters
wavelength = 1.54*angstrom

# convolution parameters
lambda_rel_width = 0.01  # zero-centered relative wavelength spread, 1% of lambda
d_ang = 0.01*deg  # spread width for incident angle


def get_sample():
    """
    Twenty alternating Ti and Ni layers on a silicon substrate.
    """
    ambient_mat = ba.Vacuum()
    ti_mat = ba.SLDMaterial("Ti", (0.05, 0.62, 0.55), -1.9493e-6, 0)
    ni_mat = ba.SLDMaterial("Ni", (0.93, 0.48, 0.14), 9.4245e-6, 0)
    substrate_mat = ba.SLDMaterial(
        "SiSubstrate", (0.28, 0.57, 0.82), 2.0704e-6, 0)

    stack = ba.LayerStack(10)
    stack.addLayer(ba.Layer(ti_mat, 3*nm))
    stack.addLayer(ba.Layer(ni_mat, 7*nm))

    sample = ba.Sample()
    sample.addLayer(ba.Layer(ambient_mat))
    sample.addStack(stack)
    sample.addLayer(ba.Layer(substrate_mat))
    return sample


def get_simulation(sample):
    """
    A specular simulation with beam and detector defined.
    """
    n = 500

    # scan starts high enough that all divergence samples stay above the horizon
    scan = ba.AlphaScan(n, 0.04*deg, 2*deg)
    scan.setWavelength(wavelength)

    alpha_distr = ba.DistributionGaussian(0, d_ang, 25, 3.)
    scan.setGrazingAngleDistribution(alpha_distr)

    wavelength_distr = ba.DistributionGaussian(0, lambda_rel_width, 25, 3.)
    scan.setRelativeWavelengthDistribution(wavelength_distr)

    return ba.SpecularSimulation(scan, sample)

    return simulation


if __name__ == '__main__':
    sample = get_sample()
    ba.showSample3D(sample, sample_size=120*nm, seed=0)
    simulation = get_simulation(sample)
    result = simulation.simulate()
    ba.plot_datafield(result)
    ba.plt.show()
auto/Examples/specular/instrument/BeamFullDivergence.py