title: Spatial patterns in optical parametric oscillators with spherical mirrors: classical and quantum effects.
abstract: We investigate the formation of transverse patterns in a doubly resonant degenerate optical parametric oscillator. Extending previous work, we treat the more realistic case of a spherical mirror cavity with a finite-sized input pump field. Using numerical simulations in real space, we determine the conditions on the cavity geometry, pump size and detunings for which pattern formation occurs; we find multistability of different types of optical patterns. Below threshold, we analyze the dependence of the quantum image on the width of the input field, in the near and in the far field.
authors.forename: M A
authors.initials: MA
authors.lastname: Marte
authors.forename: H
authors.initials: H
authors.lastname: Ritsch
authors.forename: K
authors.initials: K
authors.lastname: Petsas
authors.forename: A
authors.initials: A
authors.lastname: Gatti
authors.forename: L
authors.initials: L
authors.lastname: Lugiato
authors.forename: C
authors.initials: C
authors.lastname: Fabre
authors.forename: D
authors.initials: D
authors.lastname: Leduc