Cylinders and Prisms

Scattering from a mixture of cylinders and prisms without interference.

• The sample comprises a substrate on which are deposited, in equal proportion, cylinders and prisms.
• All particles are made of the same material.
• Each type of particle has the same orientation.
• The cylinders are $5$ nm high and $5$ nm in radius.
• Each prism is $5$ nm high with an equilateral triangular base, whose side length is equal to $10$ nm.
• There is no interference between the waves scattered by these particles. The distribution is therefore diluted.
• The incident neutron beam is characterized by a wavelength of $1$ $\unicode{x212B}$.
• The incident angles are $\alpha_i = 0.2 ^{\circ}$ and $\phi_i = 0^{\circ}$.
• The simulation is performed using the Distorted Wave Born Approximation (due to the presence of 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  """ Mixture of cylinders and prisms without interference """ import bornagain as ba from bornagain import deg, angstrom, nm def get_sample(): """ Returns a sample with uncorrelated cylinders and prisms on a substrate. """ # defining materials m_air = ba.HomogeneousMaterial("Air", 0.0, 0.0) m_substrate = ba.HomogeneousMaterial("Substrate", 6e-6, 2e-8) m_particle = ba.HomogeneousMaterial("Particle", 6e-4, 2e-8) # collection of particles cylinder_ff = ba.FormFactorCylinder(5*nm, 5*nm) cylinder = ba.Particle(m_particle, cylinder_ff) prism_ff = ba.FormFactorPrism3(10*nm, 5*nm) prism = ba.Particle(m_particle, prism_ff) particle_layout = ba.ParticleLayout() particle_layout.addParticle(cylinder, 0.5) particle_layout.addParticle(prism, 0.5) interference = ba.InterferenceFunctionNone() particle_layout.setInterferenceFunction(interference) # air layer with particles and substrate form multi layer air_layer = ba.Layer(m_air) air_layer.addLayout(particle_layout) substrate_layer = ba.Layer(m_substrate) multi_layer = ba.MultiLayer() multi_layer.addLayer(air_layer) multi_layer.addLayer(substrate_layer) print(multi_layer.treeToString()) return multi_layer def get_simulation(): """ Returns a GISAXS simulation with beam and detector defined. """ simulation = ba.GISASSimulation() simulation.setDetectorParameters(100, -1.0*deg, 1.0*deg, 100, 0.0*deg, 2.0*deg) simulation.setBeamParameters(1.0*angstrom, 0.2*deg, 0.0*deg) return simulation def run_simulation(): """ Runs simulation and returns resulting intensity map. """ simulation = get_simulation() simulation.setSample(get_sample()) simulation.runSimulation() return simulation.result() if __name__ == '__main__': result = run_simulation() ba.plot_simulation_result(result, cmap='jet', aspect='auto') 
CylindersAndPrisms.py