Forecast analysis and focal plane optimization for a multi-frequency CMB B-modes polarization experiment: the case of LSPE

We present an optimization scheme for the focal plane of a multi-frequency CMB B-modes experiment with a fixed number of detectors and apply it to the specific case of LSPE experiment. Optimal focal planes are identified on the ground of different figures of merit defined in terms of the forecasted uncertainty $\sigma_r$ on the tensor--to-scalar ratio $r$ and the expected map variance from foreground and instrumental noise residuals. We then perform a forecast analysis in order to assess the precision achievable in B-modes measurements.