A universal magnification theorem. III. Caustics beyond codimension 5


Journal Article

In the final paper of this series, we extend our results on magnification invariants to the infinite family of A n(n≥2), D n(n≥4), E 6, E 7, E 8 caustic singularities. We prove that for families of general mappings between planes exhibiting any caustic singularity of the A n(n≥2), D n(n≥4), E 6, E 7, E 8 family, and for a point in the target space lying anywhere in the region giving rise to the maximum number of lensed images (real preimages), the total signed magnification of the lensed images will always sum to zero. The proof is algebraic in nature and relies on the Euler trace formula. © 2010 American Institute of Physics.

Full Text

Duke Authors

Cited Authors

  • Aazami, AB; Petters, AO

Published Date

  • February 1, 2010

Published In

Volume / Issue

  • 51 / 2

International Standard Serial Number (ISSN)

  • 0022-2488

Digital Object Identifier (DOI)

  • 10.1063/1.3271043

Citation Source

  • Scopus