Resolution function of a two-dimensional scattering detector

This example illustrates the effect of detector resolution.

The left image shows scattering from a dilute assembly of large, oriented boxes recorded by a perfect detector without resolution function.

In the middle image, for the purpose of demonstration, a broad and very anisotropic Gaussian resolution function is applied.

In the right image, the resolution is isotropic.

Resolution.png

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#!/usr/bin/env python3
"""
Basic GISAS from oriented boxes, with different detector resolutions.
"""
import bornagain as ba
from bornagain import ba_plot as bp, deg, nm


def get_sample():
    """
    Dilute random assembly of oriented boxes on a substrate.
    """
    substrate_color = (0.28, 0.57, 0.82)
    substrate_mat = ba.RefractiveMaterial(
        "Substrate", substrate_color, 6e-6, 2e-8)
    particle_color = (0.86, 0.24, 0.18)
    particle_mat = ba.RefractiveMaterial(
        "Particle", particle_color, 6e-4, 2e-8)
    ff = ba.Box(30*nm, 30*nm, 30*nm)
    particle = ba.Particle(particle_mat, ff)

    particle_layer = ba.Layer(ba.Vacuum())
    particle_layer.deposit2D(ba.Dilute2D(0.001, particle))
    substrate_layer = ba.Layer(substrate_mat)

    sample = ba.Sample()
    sample.addLayer(particle_layer)
    sample.addLayer(substrate_layer)
    return sample


if __name__ == '__main__':
    sample = get_sample()

    # Beam
    wavelength = 0.1*nm
    alpha_i = 0.2*deg
    beam = ba.Beam(1, wavelength, alpha_i)

    # Detector
    nx = 142
    ny = 200
    detector = ba.SphericalDetector(nx, -1.5*deg, 1.5*deg, ny, 0, 3*deg)

    results = []

    simulation = ba.ScatteringSimulation(beam, sample, detector)
    simulation.options().setUseAvgMaterials(False)
    result = simulation.simulate()
    result.setTitle("no resolution")
    results.append(result)

    detector.setResolutionFunction(
        ba.ResolutionFunction2DGaussian(0.2*deg, 0.01*deg))
    simulation = ba.ScatteringSimulation(beam, sample, detector)
    simulation.options().setUseAvgMaterials(False)
    result = simulation.simulate()
    result.setTitle("resolution 0.2deg, 0.01deg")
    results.append(result)

    detector.setResolutionFunction(
        ba.ResolutionFunction2DGaussian(0.2*deg, 0.2*deg))
    simulation = ba.ScatteringSimulation(beam, sample, detector)
    simulation.options().setUseAvgMaterials(False)
    result = simulation.simulate()
    result.setTitle("resolution 0.2deg, 0.2deg")
    results.append(result)
    ba.showSample3D(sample, sample_size=120*nm, seed=0)
    bp.plot2d_to_row(results, unit_aspect=1)
    bp.plt.show()
auto/Examples/scatter2d/Resolution.py