# Plotting with axes in different units

In this example we demonstrate how to plot intensity data with detector axes expressed in different units. It serves as a supporting example to the Accessing Simulation Results tutorial.

• The standard "Cylinders in DWBA" sample is used to setup the simulation.
• When the simulation is completed, the Simulation::getIntensityData() method is used to get a Histogram2D object.
• Depending on an additional parameter IDetector2D.NBINS, IDetector2D.DEGREES, IDetector2D.QYQZ, the axes of the histogram will be defined either in millimeters (default units of RectangularDetector), detector bins, degrees or Q.
• Please note, that the given parameter only affects min/max values of histogram axes (there is no rebinning involved).

Intensity Image:
Python Script:
"""
In this example we demonstrate how to plot simulation results with
axes in different units (nbins, mm, degs and QyQz).
"""
import bornagain as ba
from bornagain import deg, angstrom, nm
import matplotlib
from matplotlib import pyplot as plt

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()

air_layer = ba.Layer(m_ambience)
substrate_layer = ba.Layer(m_substrate)

multi_layer = ba.MultiLayer()
return multi_layer

def get_rectangular_detector():
"""
Returns rectangular detector representing our PILATUS detector
"""

detector_distance = 2000.0  # in mm
pilatus_pixel_size = 0.172  # in mm
pilatus_npx, pilatus_npy = 981, 1043  # number of pixels

width = pilatus_npx*pilatus_pixel_size
height = pilatus_npy*pilatus_pixel_size
detector = ba.RectangularDetector(pilatus_npx, width, pilatus_npy, height)
detector.setPerpendicularToSampleX(detector_distance, width/2., 0.0)
return detector

def get_simulation():
"""
Returns a GISAXS simulation with beam defined
"""
simulation = ba.GISASSimulation()
simulation.setBeamParameters(1.0*angstrom, 0.2*deg, 0.0*deg)
simulation.setDetector(get_rectangular_detector())
return simulation

def plot_as_colormap(hist, Title, xLabel, yLabel):
"""
Simple plot of intensity data as color map
"""
im = plt.imshow(
hist.getArray(),
norm=matplotlib.colors.LogNorm(1.0, hist.getMaximum()),
extent=[hist.getXmin(), hist.getXmax(),
hist.getYmin(), hist.getYmax()],
aspect='auto')
cb = plt.colorbar(im, pad=0.025)
plt.xlabel(xLabel, fontsize=16)
plt.ylabel(yLabel, fontsize=16)
plt.title(Title)

def run_simulation():
"""
Run simulation and returns results for different detector units.
"""
sample = get_sample()
simulation = get_simulation()
simulation.setSample(sample)
simulation.runSimulation()

results = {}
results['mm'] = simulation.getIntensityData()
results['bin'] = simulation.getIntensityData(ba.IDetector2D.NBINS)
results['deg'] = simulation.getIntensityData(ba.IDetector2D.DEGREES)
results['nm-1'] = simulation.getIntensityData(ba.IDetector2D.QYQZ)

return results

def plot(results):
"""
Plots simulation results for different detectors.
"""
fig = plt.figure(figsize=(12.80, 10.24))

plt.subplot(2, 2, 1)
# default units for rectangular detector are millimeters

plot_as_colormap(results['mm'], "In default units",
r'$X_{mm}$', r'$Y_{mm}$')

plt.subplot(2, 2, 2)
plot_as_colormap(results['bin'], "In number of bins",
r'$X_{nbins}$', r'$Y_{nbins}$')

plt.subplot(2, 2, 3)
plot_as_colormap(results['deg'], "In degs",
r'$\phi_f ^{\circ}$', r'$\alpha_f ^{\circ}$')

plt.subplot(2, 2, 4)
plot_as_colormap(results['nm-1'], "Q-space",
r'$Q_{y} [1/nm]$', r'$Q_{z} [1/nm]$')

plt.subplots_adjust(left=0.07, right=0.97, top=0.9, bottom=0.1, hspace=0.25)
plt.show()

if __name__ == '__main__':
results = run_simulation()
plot(results)