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Theoretical analyses of the polariton optical parametric oscillator (OPO)regime often rely on a mean field approach based on the complexGross-Pitaevskii equations in a three-mode approximation, where only threemomentum states, the signal, pump and idler, are assumed to be significantlyoccupied. This approximation, however, lacks a constraint to uniquely determinethe signal and idler momenta. In contrast, multimode numerical simulations andexperiments show a unique momentum structure for the OPO states. In this workwe show that an estimate for the signal momentum chosen by the system can befound from a simple analysis of the pump-only configuration. We use thisestimate to investigate how the chosen signal momentum depends on theproperties of the drive.

Properties of the signal mode in the polariton OPO regime