Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Publications [#243988] of Arlie O. Petters

Papers Published

  1. Petters, AO, Multiplane gravitational lensing. III. Upper bound on number of images, Journal of Mathematical Physics, vol. 38 no. 3 (1997), pp. 1605-1613
    (last updated on 2018/03/24)

    The total number of lensed images of a light source undergoing gravitational lensing varies as the source traverses a caustic network. It is rigorously shown that for a pointlike light source not on any caustic, a three-dimensional distribution of g point masses on g lens planes creates at most 2(22(g-1)-1) lensed images of the source (g≥2). This complements previous work [Paper I, J. Math. Phys. 36, 4263 (1995)] that showed at least 2g lensed images occur. Application of the upper bound to the global geometry of caustics is also presented. Our methods are based on a complex formulation of point-mass gravitational lensing and techniques from the theory of resultants. The latter yields a new approach to studying upper bounds on number of lensed images due to point-mass gravitational lens systems. © 1997 American Institute of Physics.
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320