The Effect Of Extended Reionization On The Ostriker-Vishniac Effect In The Small-Scale C.M.B.

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The Ostriker-Vishniac (OV) effect is a signal in the small scale (l > 3500) CMB arising from scattering of photons by ionized gas, as calculated from linear perturbation theory. We investigate the variation of this signal with changes in the duration of the reionization process, Δz, at constant optical depth to reionization, κ. We find that the OV signal decreases by 20% when Δz is changed from 0.1 to 3.0. When the z < 6 contribution to the signal is removed, the contrast between the two cases increases to factor 2. If other contributions at the relevant scales, e.g. foreground sources and patchy signal, can be well understood, the OV and related kinetic Sunyaev-Zel'dovich signals can help constrain the duration of the reionization event.

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