Detector resolution function

By default, the detector has perfect resolution. Here we show how to set a finite blur.

  • The detector resolution function is a two-dimensional Gaussian with the same width for the $x$ and $y$ axes: $\sigma_x = \sigma_y = 0.0025^{\circ}$.
  • The wavelength is equal to $1$ $\unicode{x212B}$.
  • The incident angles are $\sigma_{\alpha_i} = \sigma_{\varphi_i} = 0.1^{\circ}$.

Besides this, the example is a DWBA simulation for our standard sample model, Cylinders in DWBA

  • The sample is composed of monodisperse cylinders deposited on a substrate.
  • The cylinders are dilute and distributed at random, hence there is no interference between scattered waves.

Intensity image

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#!/usr/bin/env python3
"""
Cylinder form factor in DWBA with detector resolution function applied
"""
import bornagain as ba
from bornagain import deg, nm


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

    # Define materials
    material_Particle = ba.HomogeneousMaterial("Particle", 0.0006, 2e-08)
    material_Substrate = ba.HomogeneousMaterial("Substrate", 6e-06, 2e-08)
    material_Vacuum = ba.HomogeneousMaterial("Vacuum", 0.0, 0.0)

    # Define form factors
    ff = ba.FormFactorCylinder(5.0*nm, 5.0*nm)

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

    # Define particle layouts
    layout = ba.ParticleLayout()
    layout.addParticle(particle, 1.0)
    layout.setWeight(1)
    layout.setTotalParticleSurfaceDensity(0.01)

    # Define layers
    layer_1 = ba.Layer(material_Vacuum)
    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(1.0, 0.1*nm, ba.Direction(0.2*deg, 0*deg))
    detector = ba.SphericalDetector(100, 2*deg, 1*deg, 1*deg)
    simulation = ba.GISASSimulation(beam, sample, detector)
    simulation.setDetectorResolutionFunction(
        ba.ResolutionFunction2DGaussian(0.02*deg, 0.02*deg))
    return simulation


if __name__ == '__main__':
    import ba_plot
    sample = get_sample()
    simulation = get_simulation(sample)
    ba_plot.run_and_plot(simulation)
DetectorResolutionFunction.py