Probability of magnification in the $textit{Hubble Frontier Fields}$ clusters. (arXiv:1905.00017v1 [astro-ph.CO])
<a href="http://arxiv.org/find/astro-ph/1/au:+Vega_Ferrero_J/0/1/0/all/0/1">J. Vega-Ferrero</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Diego_J/0/1/0/all/0/1">J. M. Diego</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Bernstein_G/0/1/0/all/0/1">G. M. Bernstein</a>

We present free-form gravitational lensing models derived with the WSLAP+
code for the six $textit{Hubble Frontier Fields}$ clusters using the latest
data available from the $textit{Frontier Fields Lensing Models v.4}$
collaboration. We present magnifications maps in the lens plane and caustic
maps in the source plane. From these maps, we derive the probability of
magnification using two different, but related, methods. We confirm MACS 0717
as the cluster with the most complex structure, and having the largest lensing
efficiency and Einstein radius. When comparing these results with the ones
obtained by previous observations of these clusters, we obtain an increase in
the lensing efficiency between 1.4 and 2.3. We also find a good correlation
with a relatively small dispersion between the lensing efficiency and Einstein
radius as a function of the source redshift ($z_s$). Finally, we estimate the
lensing effects produced by the six $textit{Hubble Frontier Fields}$ clusters
on the luminosity function of galaxies at high redshift ($z=9$) for standard
luminosity functions and an alternative luminosity function based on
predictions from wave dark matter ($psi$DM) models.

We present free-form gravitational lensing models derived with the WSLAP+
code for the six $textit{Hubble Frontier Fields}$ clusters using the latest
data available from the $textit{Frontier Fields Lensing Models v.4}$
collaboration. We present magnifications maps in the lens plane and caustic
maps in the source plane. From these maps, we derive the probability of
magnification using two different, but related, methods. We confirm MACS 0717
as the cluster with the most complex structure, and having the largest lensing
efficiency and Einstein radius. When comparing these results with the ones
obtained by previous observations of these clusters, we obtain an increase in
the lensing efficiency between 1.4 and 2.3. We also find a good correlation
with a relatively small dispersion between the lensing efficiency and Einstein
radius as a function of the source redshift ($z_s$). Finally, we estimate the
lensing effects produced by the six $textit{Hubble Frontier Fields}$ clusters
on the luminosity function of galaxies at high redshift ($z=9$) for standard
luminosity functions and an alternative luminosity function based on
predictions from wave dark matter ($psi$DM) models.

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