Left: average lensing optical depth as a function of the survey angular resolution θmin for early- and late-type galaxy deflectors. We modeled the deflectors as SIS (⟨τSIS⟩-continuous black line) and SIE mass distributions (⟨τSIE⟩-continuous gray line). In the latter case, we also show the average optical depth with detection of two lensed images (⟨τSIE,2⟩ – dashed gray line). Right: fraction of lensed sources detected with three (light gray) or four (dark gray) lensed images as a function of θmin. The results for the case of early- and late-type galaxy deflectors are shown with continuous and dash-dotted lines, respectively. In both panels we indicate the typical value of θmin for the Gaia survey and typical seeing-limited ground-based observations.
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