Caustic (mathematics)
In differential geometry and geometric optics, a caustic is the envelope of rays either reflected or refracted by a manifold. It is related to the concept of caustics in optics. The ray's source may be a point (called the radiant) or infinity, in which case a direction vector must be specified.
More generally, especially as applied to symplectic geometry and singularity theory, a caustic is the critical value set of a Lagrangian mapping (π ○ i) : L ↪ M ↠ B; where i : L ↪ M is a Lagrangian immersion of a Lagrangian submanifold L into a symplectic manifold M, and π : M ↠ B is a Lagrangian fibration of the symplectic manifold M. The caustic is a subset of the Lagrangian fibration's base space B.
Read more about Caustic (mathematics): Catacaustic
Famous quotes containing the word caustic:
“The satirist who writes nothing but satire should write but little—or it will seem that his satire springs rather from his own caustic nature than from the sins of the world in which he lives.”
—Anthony Trollope (1815–1882)