Dense hemispheres

Supposing a Simulation has been defined in which some layers contain embedded particles of different materials; to regard those layers as composed by a single material, the setUseAvgMaterials method is used:

simulation.options().setUseAvgMaterials(True)

The figure shows the intensity map produced by the script below.

The script below shows how to average materials when simulating scattering from a square lattice of hemispheres on a substrate.

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#!/usr/bin/env python3
"""
Square lattice of half spheres on substrate with usage of average material
and slicing
"""
import bornagain as ba
from bornagain import ba_plot as bp, deg, nm


def get_sample():
    """
    Returns a sample with cylinders on a substrate.
    """

    # Define materials
    material_Particle = ba.RefractiveMaterial("Particle", 3e-05, 2e-08)
    material_Substrate = ba.RefractiveMaterial("Substrate", 6e-06, 2e-08)
    material_Vacuum = ba.RefractiveMaterial("Vacuum", 0, 0)

    # Define form factors
    ff = ba.TruncatedSphere(5*nm, 5*nm, 0)

    # Define particles
    particle = ba.Particle(material_Particle, ff)

    # Define 2D lattices
    lattice = ba.BasicLattice2D(10*nm, 10*nm, 90*deg, 0)

    # Define interference functions
    iff = ba.Interference2DLattice(lattice)
    iff_pdf = ba.Profile2DCauchy(100*nm, 100*nm, 0)
    iff.setDecayFunction(iff_pdf)

    # Define particle layouts
    layout = ba.ParticleLayout()
    layout.addParticle(particle)
    layout.setInterference(iff)
    layout.setTotalParticleSurfaceDensity(0.01)

    # Define layers
    layer_1 = ba.Layer(material_Vacuum)
    layer_1.setNumberOfSlices(10)
    layer_1.addLayout(layout)
    layer_2 = ba.Layer(material_Substrate)

    # Define sample
    sample = ba.MultiLayer()
    sample.addLayer(layer_1)
    sample.addLayer(layer_2)

    return sample


def get_simulation(sample):
    beam = ba.Beam(1e9, 0.1*nm, 0.2*deg)
    n = bp.simargs['n']
    detector = ba.SphericalDetector(n, -2*deg, 2*deg, n, 0, 2*deg)
    simulation = ba.ScatteringSimulation(beam, sample, detector)
    simulation.options().setUseAvgMaterials(True)
    return simulation


if __name__ == '__main__':
    bp.parse_args(sim_n=100)
    sample = get_sample()
    simulation = get_simulation(sample)
    result = simulation.simulate()
    bp.plot_simulation_result(result)
Examples/scatter2d/HalfSpheresInAverageTopLayer.py