Portolan, S.Hauke, P.Savona, V.2009-09-222009-09-222009-09-22200810.1002/pssb.200777626https://infoscience.epfl.ch/handle/20.500.14299/42785WOS:000256787000014We model the parametric photoluminescence process of laterally confined polaritons in a mesa structure, patterned on a semiconductor microcavity. Parametric processes are described within the lowest order in the polariton-polariton interaction. We show how a plane-wave pump produces simultaneously several signal-idler pairs, due to the broken translational symmetry, the finite polariton linewidths, and the presence of a continuum of polariton states above the shallow mesa barrier. We discuss under which conditions of pump and deluning, the simple three-mode picture for the parametric process is recovered.Semiconductortext::journal::journal article::research article