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#!/usr/bin/env python3
# /// script
# requires-python = ">=3.10"
# dependencies = ["bornagain>=25,<26"]
# ///
"""
Square lattice of half spheres on substrate.
Test to investigate intensity changes with different numbers of slices.
"""
import bornagain as ba
ba.require_versions("bornagain>=25,<26")
from bornagain import deg, nm
def get_sample(n_slices=1):
# Materials (zero absorption)
particle_color = (0.86, 0.24, 0.18)
particle_mat = ba.RefractiveMaterial("Particle", particle_color, 3e-05, 0)
substrate_color = (0.28, 0.57, 0.82)
substrate_mat = ba.RefractiveMaterial("Substrate", substrate_color, 6e-06, 0)
vacuum = ba.Vacuum()
# Particles
ff = ba.SphericalSegment(5*nm, 0, 5*nm)
particle = ba.Particle(particle_mat, ff)
# 2D lattices
lattice = ba.BasicLattice2D(10*nm, 10*nm, 90*deg, 0)
# Interference functions
layout = ba.Crystal2D(particle, lattice)
profile = ba.Profile2DCauchy(100*nm, 100*nm, 0)
layout.setDecayFunction(profile)
# Layers
layer_1 = ba.Layer(vacuum)
if n_slices > 1:
layer_1.setNumberOfSlices(n_slices)
layer_1.deposit2D(layout)
layer_2 = ba.Layer(substrate_mat)
# Sample
sample = ba.Sample()
sample.addLayer(layer_1)
sample.addLayer(layer_2)
return sample
def simulate_horizontal_cut(n_slices=1):
"""
Simulate with Nx1 detector for horizontal cut at alpha_f=0.92 deg.
"""
sample = get_sample(n_slices)
beam = ba.Beam(1e9, 0.1*nm, 0.2*deg)
n = 200
# Single bin centered at alpha_f=0.92 deg
detector = ba.SphericalDetector(n, -2*deg, 2*deg, 1, 0.91*deg, 0.93*deg)
simulation = ba.ScatteringSimulation(beam, sample, detector)
return simulation.simulate()
def simulate_vertical_cut(n_slices=1):
"""
Simulate with 1xN detector for vertical cut at phi_f=0 deg.
"""
sample = get_sample(n_slices)
beam = ba.Beam(1e9, 0.1*nm, 0.2*deg)
n = 200
# Single bin centered at phi_f=0 deg
detector = ba.SphericalDetector(1, -0.01*deg, 0.01*deg, n, 0, 2*deg)
simulation = ba.ScatteringSimulation(beam, sample, detector)
return simulation.simulate()
def simulate_depthprobe(n_slices=1):
"""
Simulate intensity vs depth.
"""
sample = get_sample(n_slices)
n = 100
alpha_f = 0.03*deg
scan = ba.AlphaScan([alpha_f])
scan.setWavelength(0.1*nm)
z_axis = ba.EquiDivision("z (nm)", n, -20*nm, 120*nm)
simulation = ba.DepthprobeSimulation(scan, sample, z_axis)
return simulation.simulate(), alpha_f/deg
# Color cycle for different N values
colors = ['C0', 'C1', 'C2', 'C3']
if __name__ == '__main__':
# Slice counts to compare
slice_counts = [1, 2, 5, 20]
# Create figure with 1 row, 3 columns
fig, axes = ba.plt.subplots(1, 3, figsize=(15, 5))
# Horizontal cuts at alpha_f=0.92 deg
ax = axes[0]
for i, n in enumerate(slice_counts):
result = simulate_horizontal_cut(n_slices=n)
ax.semilogy(result.xCenters(), result.flatVector(),
label=f'N={n}', color=colors[i])
ax.set_title('Horizontal cut at alpha_f=0.92 deg')
ax.set_xlabel('phi_f (deg)')
ax.set_ylabel('Intensity')
ax.legend()
# Vertical cuts at phi_f=0 deg
ax = axes[1]
for i, n in enumerate(slice_counts):
result = simulate_vertical_cut(n_slices=n)
ax.semilogy(result.yCenters(), result.flatVector(),
label=f'N={n}', color=colors[i])
ax.set_title('Vertical cut at phi_f=0 deg')
ax.set_xlabel('alpha_f (deg)')
ax.set_ylabel('Intensity')
ax.legend()
# Intensity vs depth
ax = axes[2]
for i, n in enumerate(slice_counts):
result, alpha_f = simulate_depthprobe(n_slices=n)
ax.semilogy(result.yCenters(), result.flatVector(),
label=f'N={n}', color=colors[i])
ax.set_title(f'Intensity vs depth at alpha_f={alpha_f:.4f} deg')
ax.set_xlabel('z (nm)')
ax.set_ylabel('Intensity')
ax.legend()
ba.plt.tight_layout()
ba.showSample3D(get_sample(), sample_size=100*nm, seed=0)
ba.plt.show()
|
BornAgain
≻ git-develop
≻ Documentation ≻ Examples ≻ GISAS ≻ Particles, layers, and interfaces ≻ Half spheres slices
