Tutorials

The tutorials build up Gila one piece at a time. Each is a script in the examples folder of the repository, so you can also run it yourself:

julia --project=examples examples/01_volumes_and_fields.jl

1. Volumes and Fields sets up the grid and the field type, and explains why norms carry the cell volume.
2. The Vacuum Green Operator computes the field of a single radiating cell and checks it against the dipole field.
3. A First Scattering Calculation puts a small dielectric sphere in a plane wave and compares its dipole moment with the Clausius–Mossotti polarizability.
4. Geometry with VoxelShapes turns shapes and their boolean combinations into susceptibilities, with anti-aliased surfaces.
5. Refined Meshes uses fine cells only where the geometry needs them.
6. Physical Units attaches SI units to currents, fields and power, and checks the radiated power of a small dipole.
7. Reflection off a Thin Film puts a film, made periodic with Bloch boundary conditions, in a plane wave and compares its reflection with the Airy formula.
8. Band Structure of a Photonic Crystal finds the TM bands of a rod crystal with a Bloch sweep and a matrix-free eigensolver.