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We present an analysis of HI Lyman-alpha emission in deep VLT/MUSEobservations of two highly magnified and extended galaxies at z=3.5 and 4.03,including a newly discovered, almost complete Einstein ring. While theseLyman-alpha haloes are intrinsically similar to the ones typically seen inother MUSE deep fields, the benefits of gravitational lensing allows us toconstruct exceptionally detailed maps of Lyman-alpha line properties at sub-kpcscales. By combining all multiple images, we are able to observe complexstructures in the Lyman-alpha emission and uncover small (~ 120 km/s inLyman-alpha peak shift), but significant at > 4 sigma, systematic variations inthe shape of the Lyman-alpha line profile within each halo. Indeed, we observea global trend for the line peak shift to become redder at large radii,together with a strong correlation between the peak wavelength and line width.This systematic intrahalo variation is markedly similar to the object-to-objectvariations obtained from the integrated properties of recent large samples.Regions of high surface brightness correspond to relatively small line shifts,which could indicate that Lyman-alpha emission escapes preferentially fromregions where the line profile has been less severely affected by scattering ofLyman-alpha photons.

Spectral variations of Lyman-alpha emission within strongly lensed sources observed with MUSE