NASA/IPAC EXTRAGALACTIC DATABASE
Date and Time of the Query: 2019-04-19 T21:20:16 PDT
Help | Comment | NED Home

For refcode 1994ApJ...431...74G:
Retrieve 37 NED objects in this reference.
Please click here for ADS abstract

NED Abstract

Copyright by American Astronomical Society. Reproduced by permission
1994ApJ...431...74G ARC STATISTICS AND CONSTRAINTS ON CLUSTER LENSES SCOTT A. GROSSMAN AND PRASENJIT SAHA Canadian Institute for Theoretical Astrophysics, McLennan Labs, University of Toronto, 60St. George Street, Toronto, Ontario, Canada, M5S 1A7 Received 1993 August 11; accepted 1994 February 10 ABSTRACT We investigate the statistical distributions of lengths and widths of gravitational arcs found in cluster lenses. Two lens models are considered: the nonsingular isothermal sphere (NSIS) and a new model we call "quasi-de Vaucouleurs" (QDEV), whose surface density resembles the de Vaucouleurs profile but is simpler for analytic study. Lensing cross sections are derived and convolved with a power-law distribution of source sizes. We apply selection criteria on the length-to-width ratio and on the length of arcs to our computation, since only arcs with L/W ~> 3 and L ~> 2.0" should enter observational data sets. Comparing the model predictions with data on 85 arcs, we constrain the scaled core radii, r_c_/b, of the lenses, where b measures the lens scale. In the NSIS lens, scaled core radii must be r_c_/b <~ 0.1. In the QDEV lens, the scaled core radius has both upper and lower limits, 0.5 < r_c_/b < 0.6, excluding the point lens. These limits are only moderately sensitive to the slope of the distribution of source sizes. The strongest constraints come from the width analysis, where we fit the observed fraction of arcs (5%) with widths W >= 1.3". We derive a formula for the radii of curvature of arcs in any lens with a quadrupole perturbation. Analysis of the observed radii of curvature of giant arcs favors cluster profiles that are steeper than isothermal. We find that future observations of arc widths and of the unlensed sizes of faint field galaxies will be most useful for constraining the radial profile of cluster lenses. Subject headings: galaxies: clustering - gravitational lensing
Retrieve 37 NED objects in this reference.
Please click here for ADS abstract

Back to NED Home