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#!/usr/bin/env python3
# /// script
# requires-python = ">=3.10"
# dependencies = ["bornagain>=25,<26"]
# ///
"""
Realistic (imperfect) example for polarized reflectometry.
Sample contains a magnetic layer,
similar to Devishvili et al., Rev. Sci. Instrum. 84, 025112 (2013).
"""
import numpy as np
import bornagain as ba
ba.require_versions("bornagain>=25,<26")
from bornagain import nm, deg, R3
from math import sin, cos
def get_sample():
# Materials
Bmag = 1.6e6
Bangle = 0 * deg
B = R3(Bmag*sin(Bangle), Bmag*cos(Bangle), 0)
vacuum = ba.Vacuum()
pd_color = (0.93, 0.72, 0.25)
pd_mat = ba.SLDMaterial("Pd", pd_color, 4.0099e-6, 1.3019e-09)
fe_color = (0.48, 0.32, 0.80)
fe_mat = ba.SLDMaterial("Fe", fe_color, 8.0241e-06, 6.0448e-10, B)
substrate_color = (0.28, 0.57, 0.82)
substrate_mat = ba.SLDMaterial("MgO", substrate_color, 5.9803e-06, 9.3996e-12)
autocorr = ba.SelfAffineFractalModel(2*nm, 0.7, 25*nm)
transient = ba.TanhTransient()
roughness = ba.Roughness(autocorr, transient)
# Layers
layer_vacuum = ba.Layer(vacuum)
layer_Pd = ba.Layer(pd_mat, 12*nm, roughness)
layer_Fe = ba.Layer(fe_mat, 100*nm, roughness)
layer_substrate = ba.Layer(substrate_mat, roughness)
# Multilayer
sample = ba.Sample()
sample.addLayer(layer_vacuum)
sample.addLayer(layer_Pd)
sample.addLayer(layer_Fe)
sample.addLayer(layer_substrate)
return sample
def simulate(p_dir, a_dir, p_eff, a_trans, a_supp, title):
sample = get_sample()
qzs = np.linspace(0.1, 1.5, 1500)
distr = ba.DistributionGaussian(0., 1., 25, 4.)
scan = ba.QzScan(qzs)
scan.setAbsoluteQResolution(distr, 0.008)
scan.setPolarization(p_dir*p_eff)
scan.setAnalyzer(a_dir, a_trans, a_supp)
simulation = ba.SpecularSimulation(scan, sample)
simulation.setBackground(ba.ConstantBackground(1e-7))
result = simulation.simulate()
result.setTitle(title)
return result
if __name__ == '__main__':
ba.showSample3D(get_sample(), sample_size=80*nm, seed=0)
# polarizer and analyzer efficiencies
p_eff = 0.986
a_trans = 0.970
a_supp = 0.015
results_pp = simulate(R3(0, +1, 0), R3(0, +1, 0), p_eff, a_trans, a_supp, "$++$")
results_pm = simulate(R3(0, +1, 0), R3(0, -1, 0), p_eff, a_trans, a_supp, "$+-$")
results_mp = simulate(R3(0, -1, 0), R3(0, +1, 0), p_eff, a_trans, a_supp, "$-+$")
results_mm = simulate(R3(0, -1, 0), R3(0, -1, 0), p_eff, a_trans, a_supp, "$--$")
results = [results_pp, results_pm, results_mp, results_mm]
ba.plot_multicurve(results)
ba.plt.show()
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