Math @ Duke

Publications [#243987] of Arlie O. Petters
Papers Published
 Petters, AO, Arnold's singularity theory and gravitational lensing,
Journal of Mathematical Physics, vol. 34 no. 8
(1993),
pp. 35553581, ISSN 00222488
(last updated on 2018/05/25)
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, timedelay image surfaces, big caustics, and bicaustics. The results of each classification are discussed and graphically illustrated. © 1993 American Institute of Physics.


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