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We propose and demonstrate an experimental method to measure by absorptionimaging the size and local column density of a cloud of atoms, even when itssmallest dimension is smaller than the resolution of the imaging system. To dothis, we take advantage of the fact that, for a given total number of atoms, asmaller and denser cloud scatters less photons when the gas is optically thick.The method relies on making an ansatz on the cloud shape along the unresolveddimension(s), and on providing an additional information such as the totalnumber of atoms. We demonstrate the method on \textit{in-situ} absorptionimages of elongated 87Sr Fermi gases. We find significant non-linearcorrections to the estimated size and local density of the cloud compared to astandard analysis. This allows us to recover an un-distorted longitudinaldensity profile, and to measure transverse sizes as small as one fourth of ourimaging resolution. The ultimate limit of our method is the wavelength that isused for imaging.

Measuring densities of cold atomic clouds smaller than the resolution limit