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Documentation [PDF] - Canada France Hawaii Telescope ...

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Figure 28: Completeness calculation for the W3 stack CFHTLS_W_i_142939+514231. Left panel: The blue<br />

and red lines shows the completeness for point-like and extended sources respectively. The green dots show<br />

the best fitting functions which are used to derive the completeness values. Right panel: galaxy counts derived<br />

automatically by QualityFITS from this stack. The red line shows the expectations for the MegaCam i-filter. The<br />

green line is the 80% completeness limit of extended objects.<br />

4.3 Depth and completeness limits<br />

The depth of the survey tile is measured by the completeness limit. It is determined for each stack and<br />

each filter separately. The depth is also checked by using the galaxy counts computed after the production<br />

of each stack, as part of the QualityFITS analysis. All completeness galaxy count plots are available<br />

from the T0007 synoptic table 22 .<br />

To compute the completeness limit, we used image simulations produced by SkyMaker(Bertin, 2009).<br />

Noiseless images of point-like (stars or galaxy bulges) and disk-like (spiral galaxies) sources have been<br />

simulated by combining spheroid and disk models, using de Vaucouleur and exponential light profiles,<br />

respectively. The star and galaxy number densities of simulated sources correspond to the expectations<br />

for typical CFHTLS exposure times. Their slope and normalization are based on realistic luminosity<br />

function in a standard Λ-CDM cosmology (for galaxies), and are produced according to the transmission<br />

of the MegaCam filters.<br />

The sources are then convolved by a PSF that takes into account the pupil of the CFHT telescope (mirrors<br />

and arms) and other components of the PSF. The PSF is built by using the diffraction and the simplest<br />

aberration components of the CFHT telescope, as well as the typical atmospheric contributions that<br />

degrade long exposures. A set of simulations are produced with PSF FWHM ranging from 0.4 ′′ to 1.3 ′′ .<br />

For each stack, the simulated images with the closest PSF in FWHM size is then used to compute the<br />

final completeness. This “adaptive FWHM” method gives rise to larger dispersion in the completeness<br />

distribution compared to T0006. The T0007 completeness encompass both the exposure time and depth<br />

effect, as well as the image quality. The point source completeness is therefore more affected than the<br />

extended objects one.<br />

The completeness limit is then derived from the averaged completeness value over the central 10000×10000<br />

MegaCam fields. The statistics are computed in each field separately and for each filter. The output is<br />

the fraction of sources detected and measured as a function of magnitude. The magnitudes at 80% and<br />

22 http://terapix.iap.fr/cplt/T0007/table_syn_T0007.html<br />

41

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