Caustics of compensated spherical lens models

GFR Ellis, DM Solomons - Classical and Quantum Gravity, 1998 - iopscience.iop.org
Classical and Quantum Gravity, 1998iopscience.iop.org
We consider compensated spherical lens models and the caustic surfaces they create in the
past light cone. Examination of cusp and crossover angles associated with particular source
and lens redshifts gives explicit lensing models that confirm the claims of paper I (Ellis et al
1998 Class. Quantum Grav. 15 2345), namely that area distances can differ by substantial
factors from angular diameter distances even when averaged over large angular
scales.Shrinking'in apparent sizes occurs, typically by a factor of 3 for a single spherical …
Abstract
We consider compensated spherical lens models and the caustic surfaces they create in the past light cone. Examination of cusp and crossover angles associated with particular source and lens redshifts gives explicit lensing models that confirm the claims of paper I (Ellis et al 1998 Class. Quantum Grav. 15 2345), namely that area distances can differ by substantial factors from angular diameter distances even when averaged over large angular scales.Shrinking'in apparent sizes occurs, typically by a factor of 3 for a single spherical lens, on the scale of the cusp caused by the lens; summing over many lenses will still leave a residual effect.
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