Filtering techniques for the detection of Sunyaev-Zel'dovich clusters in multifrequency CMB maps

Details Filtering techniques for the detection of Sunyaev-Zel'dovich clusters in multifrequency CMB maps Filtering techniques for the detection of Sunyaev-Zel'dovich clusters in multifrequency CMB maps

2002-03-27

arxiv.org/abs/astro-ph/0203486v2

Mon.Not.Roy.Astron.Soc. 336 (2002) 1057

Astronomy and Astrophysics

Astrophysics

12 pages, 7 figures; Corrected figures. Submitted to MNRAS

Scientific paper

10.1046/j.1365-8711.2002.05704.x

The problem of detecting Sunyaev-Zel'dovich (SZ) clusters in multifrequency CMB observations is investigated using a number of filtering techniques. A multifilter approach is introduced, which optimizes the detection of SZ clusters on microwave maps. An alternative method is also investigated, in which maps at different frequencies are combined in an optimal manner so that existing filtering techniques can be applied to the single combined map. The SZ profiles are approximated by the circularly-symmetric template $\tau (x) = [1 +(x/r_c)^2]^{-\lambda}$, with $\lambda \simeq \tfrac{1}{2}$ and $x\equiv |\vec{x}|$, where the core radius $r_c$ and the overall amplitude of the effect are not fixed a priori, but are determined from the data. The background emission is modelled by a homogeneous and isotropic random field, characterized by a cross-power spectrum $P_{\nu_1 \nu_2}(q)$ with $q\equiv |\vec{q}|$. The filtering methods are illustrated by application to simulated Planck observations of a $12.8^\circ \times 12.8^\circ$ patch of sky in 10 frequency channels. Our simulations suggest that the Planck instrument should detect $\approx 10000$ SZ clusters in 2/3 of the sky. Moreover, we find the catalogue to be complete for fluxes $S > 170$ mJy at 300 GHz.

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