Abstract

We perform a study of the quantum image phenomenon appearing below threshold in the optical parametric oscillator for the near and far field, for the case of a cavity with spherical mirrors and Gaussian pump profile. Because of the finite size of the pump, the whole set of Gauss-Laguerre cavity modes are coupled and therefore an analytical solution cannot be found. We propose a numerical treatment taking into account the mode couplings up to a finite order, and using an input-output formalism we evaluate the correlation functions for an arbitrary quadrature component of the signal field in the frequency domain. Major quantum spatial features of the plane-wave pump case are shown to persist when the pump waist is progressively decreased to realistic experimental values.

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