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We measure the redshift distribution of a sample of 28 giant arcs discoveredas a part of the Sloan Giant Arcs Survey (SGAS). Gemini/GMOS-North spectroscopyprovides precise redshifts for 24 arcs, and "redshift desert" constraints forthe remaining four. This is a direct measurement of the redshift distributionof a uniformly selected sample of bright giant arcs, which is an observablethat can be used to inform efforts to predict giant arc statistics. Our primarygiant arc sample has a median redshift z=1.821 and nearly two thirds of thearcs - 64% - are sources at z \gtrsim 1.4, indicating that the population ofbackground sources that are strongly lensed into bright giant arcs residesprimarily at high redshift. We also analyze the distribution of redshifts for19 secondary strongly lensed background sources that are not visually apparentin SDSS imaging, but were identified in deeper follow-up imaging of the lensingcluster fields. Our redshift sample for the secondary sources is notspectroscopically complete, but combining it with our primary giant arc samplesuggests that a large fraction of all background galaxies which are stronglylensed by foreground clusters reside at z \gtrsim 1.4. Kolmogorov-Smirnov (KS)tests indicate that our well-selected, spectroscopically complete primary giantarc redshift sample can be reproduced with a model distribution that isconstructed from a combination of results from studies of strong lensingclusters in numerical simulations, and observational constraints on the galaxyluminosity function.

The Redshift Distribution of Giant Arcs in the Sloan Giant Arcs Survey