Fig. 3: Parametric oscillations.

Analysis of the doubly resonant parametric oscillations (DRPOs) of a cavity (with PMMA as the cavity dielectric) illuminated by a λ₃ = 780 nm pump with micron-sized Bragg mirrors whose stop band is centered at 1560 nm. In a–h, the cavity length is used as a tuning parameter for normal incidence θ = 0, whereas in j–n, the incidence angle θ is the tuning parameter for the two assigned cavity lengths. a Identification of DRPOs as the intersection between the parametric oscillation (PO) curve and signal resonance (SR) and idler resonance (IR) curves in the (L/λ₃, Δω/ω₃) plane. b–e Intensity analysis of the degenerate (Δω = 0) DRPO located at \({\it{L}} \simeq 0.645\;\lambda _3\) comprising the plots of b the intensity threshold \({\it{I}}_{3Th}^{\left( i \right)}\) vs. L/λ₃ and Δω/ω₃ and c–e the intensities \({\it{I}}_1^{\left( t \right)},{\it{I}}_2^{\left( t \right)},{\it{I}}_3^{\left( t \right)}\) of the transmitted signal, idler, and pump fields as functions of the scaled cavity length L/λ₃ and the incident pump intensity \({\it{I}}_1^{\left( i \right)}\). f–i Intensity analysis of the non-degenerate (Δω ≠ 0) DRPO located at \({\it{L}} \simeq 3\lambda _3\) (the panels are analogous to those in b–e). j DRPO analysis in the (θ, Δω/ω₃) plane for L as in b–e. Note that the degenerate DRPO occurs at a small angle θ. k Signal intensity analysis of the DRPO showing a feasible θ range. l DRPO analysis in the (θ, Δω/ω₃) plane for L as in f–i revealing a variety of DRPOs at different angles θ. m, n Signal intensity analysis for the two DRPOs identified in l.