Beam quality of a non-ideal atom laser
Résumé
We have measured the effect of interactions on atom-laser beam quality. We observe a transverse structure containing caustics that vary with the density within the residing Bose-Einstein Condensate. Using WKB approximation, Fresnel-Kirchhoff integral formalism and atom-optical ABCD matrices, we are able to predict analytically these profiles. This allows us to characterize the quality of the non-ideal atom-laser beam by a generalized M$^2$ factor defined in analogy to photon lasers.