Astronomy & Astrophysics

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$\begin{figure} \includegraphics[width=7.8cm,clip]{3557efig1.eps}\hspace*{3mm} \includegraphics[width=7.8cm,clip]{3557efig2.eps} \end{figure}$ Figure 1: Left panel: tridimensional density profile for the halo (black), for the caustics in a perfectly cold medium (red) and for the caustics smoothed out by a warm/hot dark matter with velocity dispersion $\sigma =60 \, {\rm km\, s}^{-1}$ (green). Densities are expressed in units of the background density $\rho _{\rm H}$ . Red spikes are all singular with infinite density and limited here to finite values because of finite resolution. Right panel: the same colour-coding for the projected 2D density profiles in units of $\rho _{\rm H} r_{\rm ta}$ . When projected, caustic peaks are smoother and look like a flight of stairs. Therefore, we expect low lensing magnifications close to the caustics.
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In the text

$\begin{figure} \includegraphics[width=7.6cm,clip]{3557efig3.eps} \end{figure}$ Figure 2: $\Gamma (\lambda )$ contribution of caustics for two values of $\sigma$ : cold medium $\sigma =0$ (black curve) and warm medium $\sigma \sim 60$ kms^-1 (red curve). The green (resp. blue) ``binned'' curve is the noise level for one (resp. 100 stacked) halo(s).
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In the text

$\begin{figure} \includegraphics[width=7.6cm,clip]{3557efig4.eps} \end{figure}$ Figure 3: Difference between the $\Gamma (\lambda )$ contribution of cold caustics and the smooth component. We illustrate the blurring effect of an imperfect knowledge of the turnaround radius of stacked halos. The solid black line, dashed green line, and dot-dashed blue line correspond to zero, 3%, and 10% uncertainties, respectively. As in Fig. 2, the binned curve represents the noise level achieved with 200 stacked halos. The convolution effect of error in the assumed/measured value of $r_{\rm ta}$ is important and a significant detection of caustics requires well-determined turnaround radii ( $\protect\la$ a few percents relative accuracy). The very small-scale wiggles in the plot are numerical artifacts and ideally the only sawtooth patterns are those due to caustics.
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In the text

$\begin{figure} \includegraphics[width=7.6cm,clip]{3557efig3.eps} \end{figure}$	Figure 2: $\Gamma (\lambda )$ contribution of caustics for two values of $\sigma$ : cold medium $\sigma =0$ (black curve) and warm medium $\sigma \sim 60$ kms^-1 (red curve). The green (resp. blue) ``binned'' curve is the noise level for one (resp. 100 stacked) halo(s).
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