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Accurate weak-lensing analysis requires not only accurate measurement ofgalaxy shapes but also precise and unbiased measurement of galaxy redshifts.The photometric redshift technique appears as the only possibility to determinethe redshift of the background galaxies used in the weak-lensing analysis.Using the photometric redshift quality, simple shape measurement requirements,and a proper sky model, we explore what could be an optimal weak-lensing darkenergy mission based on FoM calculation. We found that photometric redshiftsreach their best accuracy for the bulk of the faint galaxy population whenfilters have a resolution R~3.2. We show that an optimal mission would surveythe sky through 8 filters using 2 cameras (visible and near infrared). Assuminga 5-year mission duration, a mirror size of 1.5m, a 0.5deg2 FOV with a visiblepixel scale of 0.15", we found that a homogeneous survey reaching IAB=25.6(10sigma) with a sky coverage of ~11000deg2 maximizes the Weak Lensing FoM. Theeffective number density of galaxies then used for WL is ~45gal/arcmin2, atleast a factor of two better than ground based survey. This work demonstratesthat a full account of the observational strategy is required to properlyoptimize the instrument parameters to maximize the FoM of the futureweak-lensing space dark energy mission.

Designing Future Dark Energy Space Missions: II. Photometric Redshift of Space Weak Lensing Optimized Survey