The complex theory of gravitational lensing: Beltrami equation and cluster lensing

Details The complex theory of gravitational lensing: Beltrami equation and cluster lensing The complex theory of gravitational lensing: Beltrami equation and cluster lensing

1994-08-18

arxiv.org/abs/astro-ph/9408064v1

Astronomy and Astrophysics

Astrophysics

submitted to Astron. Astrophys., 9 pages plus 7 figures, uuencoded, compressed postscript, preprint HH-GRAL-SK-94-02

Scientific paper

We introduce a new complex formalism to describe arclet fields in clusters of galaxies and derive the appropriate inversion techniques to find the related mass distribution of the lensing cluster. Applying the complex formalism to the statistics of lensed background sources shows that the mean of the axial ratios of locally lensed isotropically distributed elliptical sources is {\em not} influenced by the intrinsic ellipticity distribution, if the cluster is subcritical in that region.

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