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

1994/08/18 by T. Schramm, Schramm, T., R. Kayser +1
Engineering · Physics and Astronomy · #Astrophysics (astro-ph) #Calibration and Measurement Techniques #FOS: Physical sciences #astro-ph

paper · pdf · doi:10.48550/arxiv.astro-ph/9408064

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

arxiv created 1994/08/18 · openalex publication_date 1994/08/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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