Publications [#243987] of Arlie O. Petters

Papers Published

1. Petters, AO, Arnold's singularity theory and gravitational lensing, Journal of Mathematical Physics, vol. 34 no. 8 (January, 1993), pp. 3555-3581, AIP Publishing, ISSN 0022-2488 [doi]
   (last updated on 2020/09/06)

   Abstract:
   Caustics in gravitational lensing are formulated from a symplectic geometric viewpoint. Arnold's singularity theory is then used to give a rigorous local classification of generic gravitational lensing caustics and their evolutions. A local classification is also presented of generic image surfaces, time-delay image surfaces, big caustics, and bicaustics. The results of each classification are discussed and graphically illustrated. © 1993 American Institute of Physics.