Astronomy and Astrophysics – Astrophysics
Scientific paper
1993-12-24
Astron.Astrophys.299:353,1995
Astronomy and Astrophysics
Astrophysics
6 pages, 5 figures (not included) by fax, A&A submitted, DAEC-OPM-94
Scientific paper
We investigate the associations between background galaxies and foreground clusters of galaxies due to the effect of gravitational lensing by clusters of galaxies. Similar to the well-known quasar-galaxy ones, these associations depend sensitively on the shape of galaxy number-magnitude or number-flux relation, and both positive and ``negative" associations are found to be possible, depending on the limiting magnitude and/or the flux threshold in the surveys. We calculate the enhancement factors assuming a singular isothermal sphere model for clusters of galaxies and a pointlike model for background sources selected in three different wavelengths, $B$, $K$ and radio. Our results show that $K-$ selected galaxies might constitute the best sample to test the ``negative" associations while it is unlikely that one can actually observe any association for blue galaxies. We also point out that bright radio sources ($S>1$ Jy) can provide strong positive associations, which may have been already detected in 3CR sample.
Hammer Francçois
Wu Xiang-Ping
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