Random media#

Seeded random fields, numerical ensembles, phase functions, and wavelength dependence.

Random nonoverlapping spheres

Random nonoverlapping spheres

Normalized phase function

Normalized phase function

Wavelength dependence of scattering and anisotropy

Wavelength dependence of scattering and anisotropy

Gaussian and exponential spatial covariance

Gaussian and exponential spatial covariance

Visualize seeded three-dimensional random media

Visualize seeded three-dimensional random media

Theory figure: covariance and simulated random fields

Theory figure: covariance and simulated random fields

Structured media#

Build spheres, finite layers, and combined structured and random samples. Explore how geometry and relative positions affect directional scattering.

A dielectric sphere in a homogeneous background

A dielectric sphere in a homogeneous background

Layers and scatterers with numerical random fluctuations

Layers and scatterers with numerical random fluctuations

Theory figure: translation and directional interference

Theory figure: translation and directional interference

Born orders and interference#

Compare cumulative Born orders and inspect coherent amplitude interference. Field-term diagnostics alone do not certify convergence.

Compare numerical Born orders

Compare numerical Born orders

Coherent interference between Born terms

Coherent interference between Born terms

Plotting and saving results#

Plot differential scattering and directional phase functions, then save and restore unitful results with their calculation settings.

Result plots and interactive 3D views

Result plots and interactive 3D views

Save results and inspect calculation provenance

Save results and inspect calculation provenance

Numerical validation#

Check voxel and angular refinement, ensemble sampling uncertainty, and finite-size effects independently.

Finite-sample size convergence

Finite-sample size convergence

Grid refinement against an exact cube integral

Grid refinement against an exact cube integral

Realization count and sampling uncertainty

Realization count and sampling uncertainty

Convergence of solid-angle quadrature

Convergence of solid-angle quadrature

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