Arc statistics with realistic cluster potentials

Details Arc statistics with realistic cluster potentials Arc statistics with realistic cluster potentials

Jul 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995aipc..336..355b&link_type=abstract

Dark matter. AIP Conference Proceedings, Volume 336, pp. 355-358 (1995).

Statistics

Dark Matter, Gravitational Lenses And Luminous Arcs, Galaxy Clusters

Scientific paper

We construct a sample of numerical models for clusters of galaxies and employ these to investigate their capability of imaging background sources into long arcs. The clusters are simulated within the CDM cosmogonic scheme in an Einstein-de Sitter universe. Emphasis is laid on the statistics of the arcs formed, and optical depths for arc formation are determined. We also compare the results to predictions based on simplified, radially symmetric cluster models. We find that the capability of the numerically modeled clusters to produce long arcs is increased by a factor of <~50 compared to a sample of softened isothermal spheres with the same observable parameters (core radii and velocity dispersions), and that they are comparably efficient as singular isothermal spheres with the same velocity dispersion. This largely enhanced capability to produce large arcs of the numerical cluster models can be understood in terms of substructure and intrinsic asymmetry, which enhance the tidal field (shear) of the clusters compared to the radially symmetric cases. We also find that the intrinsic ellipticity of the background sources has a noticeable influence on arc statistics; the optical depth for arcs with a length-to-width ratio of >~10 is significantly larger for elliptical than for circular background sources.

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