A Comparison of Effective Volumes for X-ray Surveys

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Scientific paper

In comparing X-ray survyes 'Cone diagrams' are often used to show how wide-angle/shallow surveys complement pencil-beam/deep surveys.While this is illustrative, it lacks quantitative rigor.
We consider instead the effective volumes covered by a number of X-ray surveys of different depths and areas. The volume clearly depends on the luminosity of the source being probed, so we choose several fiducial values, based on the L* luminosities of the AGN luminosity functions.
The high redshift limit used is simply given by the sensitivity of the survey. The low redshift limit is more complicated; the survey does not begin until we expect at least one (and preferably 10) objects within the survey volume. Hence the low z limit is set by the space density of the AGN population, which is itself a function of redshift. We use the well measured X-ray luminosity function of AGN to illustrate how the effective volumes of the major surveys compare with one another.

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