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Objects falling into an overdensity appear larger on its near side andsmaller on its far side than other objects at the same redshift. This producesa dipolar pattern of magnification, primarily as a consequence of the Dopplereffect. At low redshift this Doppler magnification completely dominates theusual integrated gravitational lensing contribution to the lensingmagnification. We show that one can optimally observe this pattern byextracting the dipole in the cross-correlation of number counts and galaxysizes. This dipole allows us to almost completely remove the contribution fromgravitational lensing up to redshift 0.5, and even at high redshift z~1 thedipole picks up the Doppler magnification predominantly. Doppler magnificationshould be easily detectable in current and upcoming optical and radio surveys;by forecasting for telescopes such as the SKA, we show that this technique iscompetitive with using peculiar velocities via redshift-space distortions toconstrain dark energy. It produces similar yet complementary constraints on thecosmological model to those found using measurements of the cosmic shear.

Dipolar modulation in the size of galaxies: The effect of Doppler magnification