The Optical Luminosity Function of Gamma-ray Bursts deduced from ROTSE-III Observations
Cui, X. H. · Wu, X. F. · Wei, J. J. · Yuan, F. · Zheng, W. K. · Liang, E. W. · Akerlof, C. W. · Ashley, M. C. B. · Flewelling, H. A. · Gogus, E. · Guver, T. · Kiziloglu, U. · McKay, T. A. · Pandey, S. B. · Rykoff, E. S. · Rujopakarn, W. · Schaefer, B. E. · Wheeler, J. C. · Yost, S. A.
Original · EN
We present the optical luminosity function (LF) of gamma-ray bursts (GRBs) estimated from a uniform sample of 58 GRBs from observations with the Robotic Optical Transient Search Experiment III (ROTSE-III). Our GRB sample is divided into two sub-samples: detected afterglows (18 GRBs), and those with upper limits (40 GRBs). The R band fluxes 100s after the onset of the burst for these two sub-samples are derived. The optical LFs at 100s are fitted by assuming that the co-moving GRB rate traces the star-formation rate. The detection function of ROTSE-III is taken into account during the fitting of the optical LFs by using Monte Carlo simulations. We find that the cumulative distribution of optical emission at 100s is well-described with an exponential rise and power-law decay (ERPLD), broken power-law (BPL), and Schechter LFs. A single power-law (SPL) LF, on the other hand, is ruled out with high confidence.
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