Theoretical reconstruction error according to the formalism developed in Sect. 3. The stellar distribution is drawn from realisations of the BMG for pointing coordinates to ℓ = 180°,b = 45°. Top: value of the ⟨ r2f/ (1 + f)2 ⟩ parameter as a function of apparent i(AB) magnitude. Middle: reconstruction error as a function of the apparent magnitude i(AB) of the stars in the stack and as a function of the complex ellipticity components e1 or e2 (colour code). Bottom: reconstruction error on the PSF size. The red line indicates typical requirements for stage IV experiments.
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