Beyond the Thin Lens Approximation

Details Beyond the Thin Lens Approximation Beyond the Thin Lens Approximation

1995-04-19

arxiv.org/abs/astro-ph/9504060v1

Astrophys.J. 458 (1996) 46

Astronomy and Astrophysics

Astrophysics

37 pages plus 3 appended figures, plain TeX. Submitted to ApJ

Scientific paper

10.1086/176791

We obtain analytic formulae for the null geodesics of Friedmann-Lema\^{\i}tre-Robertson-Walker spacetimes with scalar perturbations in the longitudinal gauge. From these we provide a rigorous derivation of the cosmological lens equation, and obtain an expression for the magnification of a bundle of light rays without restriction to static or thin lens scenarios. We show how the usual magnification matrix naturally emerges in the appropriate limits.

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