We present a semi-analytic model for the shear two-point correlation function of a cosmic shear survey with non-uniform depth. Ground-based surveys are subject to depth variations that primarily arise through varying atmospheric conditions. For a survey like the Kilo-Degree Survey (KiDS), we find that the measured depth variation increases the amplitude of the observed shear correlation function at the level of a few percent out to degree-scales, relative to the assumed uniform-depth case. The impact on the inferred cosmological parameters is shown to be insignificant for a KiDS-like survey. For next-generation cosmic shear experiments, however, we conclude that variable depth should be accounted for.
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Heydenreich, S., Schneider, P., Hildebrandt, H., Asgari, M., Heymans, C., Joachimi, B., … Van Den Busch, J. L. (2020). The effects of varying depth in cosmic shear surveys. Astronomy and Astrophysics, 634. https://doi.org/10.1051/0004-6361/201936966