Detector Resolution Function

Scattering from a monodisperse distribution of cylindrical particles with a Gaussian resolution function of the detectors.

• The sample is made of cylindrical particles randomly deposited on a substrate. It is similar to Cylinders in DWBA with the additional resolution function of the detectors.
• The radii and heights of the cylinders are equal to 5 nm.
• There is no interference between the scattered waves.
• The detector resolution function is a two-dimensional Gaussian with the same width for the x- and y-axis: σx = σy= 0.0025°.
• The wavelength is equal to 1 Å.
• The incident angles are αi=0.2° and Φi=0°.

Intensity Image:
Python Script:
```"""
Cylinder form factor in DWBA with detector resolution function applied
"""
import bornagain as ba
from bornagain import deg, angstrom, nm

def get_sample():
"""
Returns a sample with uncorrelated cylinders on a substrate.
"""
# defining materials
m_ambience = 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)
particle_layout = ba.ParticleLayout()

# assembling the sample
air_layer = ba.Layer(m_ambience)
substrate_layer = ba.Layer(m_substrate)

multi_layer = ba.MultiLayer()
return multi_layer

def get_simulation():
"""
Returns a GISAXS simulation with detector resolution function defined.
"""
simulation = ba.GISASSimulation()
simulation.setDetectorParameters(100, 0.0*deg, 2.0*deg,
100, 0.0*deg, 2.0*deg)
simulation.setBeamParameters(1.0*angstrom, 0.2*deg, 0.0*deg)
simulation.setDetectorResolutionFunction(
ba.ResolutionFunction2DGaussian(0.0025, 0.0025))
return simulation

def run_simulation():
"""
Runs simulation and returns intensity map.
"""
simulation = get_simulation()
simulation.setSample(get_sample())
simulation.runSimulation()
return simulation.getIntensityData()

if __name__ == '__main__':
result = run_simulation()
ba.plot_intensity_data(result)

```