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

  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  #!/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 import matplotlib.pyplot as plt def get_sample(): """ A sample with cylinders on a substrate. """ # Materials material_particle = ba.RefractiveMaterial("Particle", 3e-05, 2e-08) material_substrate = ba.RefractiveMaterial("Substrate", 6e-06, 2e-08) vacuum = ba.RefractiveMaterial("Vacuum", 0, 0) # Form factors ff = ba.TruncatedSphere(5*nm, 5*nm, 0) # Particles particle = ba.Particle(material_particle, ff) # 2D lattices lattice = ba.BasicLattice2D(10*nm, 10*nm, 90*deg, 0) # Interference functions iff = ba.Interference2DLattice(lattice) iff_pdf = ba.Profile2DCauchy(100*nm, 100*nm, 0) iff.setDecayFunction(iff_pdf) # Particle layouts layout = ba.ParticleLayout() layout.addParticle(particle) layout.setInterference(iff) layout.setTotalParticleSurfaceDensity(0.01) # Layers layer_1 = ba.Layer(vacuum) layer_1.setNumberOfSlices(10) layer_1.addLayout(layout) layer_2 = ba.Layer(material_substrate) # 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 = 100 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__': sample = get_sample() simulation = get_simulation(sample) result = simulation.simulate() bp.plot_simulation_result(result) plt.show() 
auto/Examples/scatter2d/HalfSpheresInAverageTopLayer.py