Caustics in geometrical optics

DOI10.1007/BF01078474zbMath0622.58004OpenAlexW2086261276MaRDI QIDQ1090996

Yu. V. Chekanov

Publication date: 1986

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01078474

zbMATH Keywords

Lagrangian fibrationLagrangian singularitybifurcation of optical causticslayerwise convex hypersurfaceray manifold

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Geometric optics (78A05)

Related Items

Umbilical characteristic number of Lagrangian mappings of a 3-dimensional pseudooptical manifold, Generalized Luneburg canonical varieties and vector fields on quasicaustics, Lagrangian singularities of invariant tori of Hamiltonian systems with two degrees of freedom, Singularities of Lagrangian varieties and related topics, Hamiltonian diffeomorphisms and Lagrangian distributions, Ensembles of Singularities Generated by Surfaces with Polyhedral Symmetry, Ensembles of Singularities Generated by Surfaces with Polyhedral Symmetry

Cites Work

• Caustics and non-degenerate Hamiltonians
• Wave front evolution and equivariant Morse lemma