Detecting baryon acoustic oscillations by 3d weak lensing

We investigate the possibility of detecting baryon acoustic oscillation features in the cosmic matter distribution by 3d weak lensing. Constraints on baryon oscillations coming from tomography are expected to be rather weak, due to wide line-of-sight weighting functions and therefore a specialized approach via 3D shear estimates is required. We quantify the uncertainty of estimating the matter spectrum amplitude at the baryon oscillations wavevectors by a Fisher matrix approach with a fixed cosmology and show in this way that future weak lensing surveys such as Euclid and dark energy survey are able to pick up the first four and three wiggles, respectively, with Euclid overall giving a better precision in the measurement. We also provide a detailed investigation of the correlation existing between errors and of their scaling behaviour with respect to survey parameters such as median redshift, error on redshift, error on the galaxy shape measurement, sky coverage and finally with respect to the number of wiggles one is trying to determine.