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Context: Most upcoming CMB polarization experiments will use direct imagingto search for the primordial gravitational waves through the B-modes.Bolometric interferometry is an appealing alternative to direct imaging thatcombines the advantages of interferometry in terms of systematic effectshandling and those of bolometric detectors in terms of sensitivity. Aims: Wecalculate the signal from a bolometric interferometer in order to investigateits sensitivity to the Stokes parameters paying particular attention to thechoice of the phase-shifting scheme applied to the input channels in order tomodulate the signal. Methods: The signal is expressed as a linear combinationof the Stokes parameter visibilities whose coefficients are functions of thephase-shifts. Results: We show that the signal to noise ratio on thereconstructed visibilities can be maximized provided the fact that thephase-shifting scheme is chosen in a particular way called coherent summationof equivalent baselines. As a result, a bolometric interferometer iscompetitive with an imager having the same number of horns, but only if thecoherent summation of equivalent baselines is performed. We confirm ourcalculations using a Monte-Carlo simulation. We also discuss the impact of theuncertainties on the relative calibration between bolometers and propose a wayto avoid this systematic effect.

An efficient phase-shifting scheme for bolometric additive interferometry