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Future high-resolution, high-sensitivity Sunyaev-Zeldovich (SZ) observationsof individual clusters will allow us to study the dynamical state of the intracluster medium (ICM). To exploit the full potential of this new observationalwindow, it is crucial to understand the different contributions to the total SZsignal. Here, we investigate the signature caused by multiple scatterings atlowest order of the electron temperature. Previous analytic discussions of thisproblem used the isotropic scattering approximation (ISA), which even for thesimplest cluster geometries is rather rough. We take a step forward andconsistently treat the anisotropy of the ambient radiation field caused by thefirst scattering. We show that the multiple scattering SZ signal directlyprobes line of sight anisotropies of the ICM, thereby delivering a new set ofSZ observables which could be used for 3D cluster-profile reconstruction. Themultiple scattering signal should furthermore correlate spatially with thecluster's X-ray and SZ polarization signals, an effect that could allowenhancing the detectability of this contribution.

Multiple scattering Sunyaev-Zeldovich signal I: lowest order effect