Scattering calculations

Scattering support is an optional integration with PyMieSim. Install it with:

$ pip install "packlab[scattering]"

compute_scattering_amplitudes evaluates the single-particle amplitudes for a refractive-index and diameter grid. ScatteringDataset then stores those amplitudes with their coordinates and derives scattering quantities such as a phase function. Input angles are measured relative to the transverse plane; the returned dataset stores the corresponding physical polar angles from 0 to \(\pi\).

import numpy as np

from PackLab.scattering import compute_scattering_amplitudes
from PackLab.units import ureg

dataset = compute_scattering_amplitudes(
    wavelength=532 * ureg.nanometer,
    diameters=[100, 200] * ureg.nanometer,
    material=1.59,
    medium=1.33,
    phi=np.linspace(-90, 90, 181) * ureg.degree,
)
dataset.process()

The scattering gallery provides separate examples for single-particle amplitudes and cross sections, and for a mixture phase function using a Percus–Yevick structure factor.

Examples

• Single-particle scattering amplitudes evaluates amplitudes and cross sections for individual sphere diameters.

• Mixture phase function with a structure factor combines a binary Percus–Yevick mixture with optical amplitudes to obtain a structure-corrected phase function.