view Abstract Citations (15) References (19) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS The Probability of Arc Lensing by Clusters of Galaxies Nemiroff, Robert J. ; Dekel, Avishai Abstract We examine the probability that clusters of galaxies act as gravitational lenses and create extended detectable arcs, or unusually elongated images, from distant sources. It is assumed that the clusters are isothermal spheres, and the sources are galaxies modeled as exponential disks. We consider detection thresholds in image shape (axial ratio, A, and angular extent θ), and in brightness (apparent surface brightness, s, or apparent magnitude, m). For galaxies of a given size, these thresholds define an axisymmetric source volume behind the cluster extending to a maximum redshift z_m_, within which a galaxy must fall to be lensed by the cluster into an arc. The number of detectable sources is then determined by integration over the number density of visible galaxies in this volume. We find that for a cluster like Abell 370 (σ ~ 1500 km s^-1^ and z_l_ ~ 0.37), the probability of observing giant arcs like those already found (A >= 15, θ >= 90^deg^) is about 1 in 200 for z_m_ = 0.72, and approaches 1 in 10 if the cluster is inspected down to a B_j_ surface brightness of 26.5 mag arcsec^-2^. Many more clusters should show distorted galaxy images which are unusually elongated perpendicular to the radius vector to the cluster center. For example, if nearby clusters of σ >= 1000 are inspected to a limiting B_j_ magnitude of 26.5, roughly 1 in 3 (1 in 16) should show a distorted galaxy with axial ratio >= 5 (>=10). Publication: The Astrophysical Journal Pub Date: September 1989 DOI: 10.1086/167776 Bibcode: 1989ApJ...344...51N Keywords: Computational Astrophysics; Galactic Clusters; Gravitational Lenses; Brightness Distribution; Red Shift; Velocity Distribution; Astrophysics; GALAXIES: CLUSTERING; GRAVITATIONAL LENSES full text sources ADS | data products SIMBAD (1) NED (1)
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