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THE DETECTION PROBABILITY FOR EMMISION LINE OBJECTS IN SLITLESS SPECTRUM SURVEYS

We present a simple model for the detectability of emission lines in slitless spectrum surveys. The model introduces the concept of detection probability for emission lines superposed on a continuum. We illustrate the detection probabilities for different equivalent widths and continuum magnitudes in the original CTIO Curtis Schmidt and 4-m surveys; they indicate that strong-lined quasars can be detected at magnitudes significantly fainter than what would normally be the limit of completeness. The model provides a useful framework for future work based on surveys which utilize digital detectors or digitized scans of photographic plates.