Triangular ripples in a lattice -- BornAgain

Triangular Ripples in a Rectangular Lattice

Scattering from elongated particles distributed along a two-dimensional rectangular lattice.

Each particle has a triangular profile (“Ripple2” form factor) with a length of $100$ nm, a width of $20$ nm and a height of $4$ nm.
They are placed along a rectangular lattice on top of a substrate.
This lattice is characterized by a lattice length of $200$ nm in the direction of the long axis of the particles and of $50$ nm in the perpendicular direction.
The lattice’s base vectors coincide with the reference Cartesian frame.
The wavelength is equal to $1.6$ $\unicode{x212B}$.
The incident angles are $\alpha_i = 0.3 ^{\circ}$ and $\phi_i = 0^{\circ}$.

View the example on Cosine Ripples on a Rectangular Lattice for comparison.

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"""
 Sample from the article D. Babonneau et. al., Phys. Rev. B 85, 235415, 2012 (Fig.3)
"""
import numpy
import bornagain as ba
from bornagain import deg, angstrom, nm


def get_sample():
    """
    Returns a sample with a grating on a substrate, modelled by triangular ripples
    forming a 1D Paracrystal.
    """
    # 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
    ripple2_ff = ba.FormFactorRipple2(
        100*nm, 20*nm, 4*nm, -3.0*nm)
    ripple = ba.Particle(m_particle, ripple2_ff)

    particle_layout = ba.ParticleLayout()
    particle_layout.addParticle(ripple, 1.0)

    interference = ba.InterferenceFunction2DLattice(
        200.0*nm, 50.0*nm, 90.0*deg, 0.0*deg)
    pdf = ba.FTDecayFunction2DGauss(
        1000.*nm/2./numpy.pi, 100.*nm/2./numpy.pi)
    interference.setDecayFunction(pdf)
    particle_layout.setInterferenceFunction(interference)

    # air layer with particles and substrate form multi layer
    air_layer = ba.Layer(m_ambience)
    air_layer.addLayout(particle_layout)
    substrate_layer = ba.Layer(m_substrate, 0)
    multi_layer = ba.MultiLayer()
    multi_layer.addLayer(air_layer)
    multi_layer.addLayer(substrate_layer)

    return multi_layer


def get_simulation():
    """
    characterizing the input beam and output detector
    """
    simulation = ba.GISASSimulation()
    simulation.setDetectorParameters(200, -1.5*deg, 1.5*deg,
                                     200, 0.0*deg, 2.5*deg)
    simulation.setBeamParameters(1.6*angstrom, 0.3*deg, 0.0*deg)
    return simulation


def run_simulation():
    """
    Runs simulation and returns 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')

TriangularRipple.py

Documentation