Abstract
We consider a degenerate optical parametric oscillator (O.P.O.) consisting of a crystal in a ring resonator. The occurrence of spatial instabilities in such system due to diffraction are studied and it is shown that they may lead to the formation of stationary or dynamical spatial patterns. The thresholds for such instabilities are derived when either the pumped and the generated modes are detuned with respect to the cavity reference frequency; the patterns that emerge from the instability are calculated analytically by bifurcation analysis. Numerical simulations substantially confirm the onset of such phenomena giving evidence of the formation of rolls, zig-zag patterns, dislocations, filamentation and optical chaos.
| Original language | English |
|---|---|
| Pages (from-to) | 10-15 |
| Number of pages | 6 |
| Journal | Proceedings of SPIE - The International Society for Optical Engineering |
| Volume | 2099 |
| DOIs | |
| Publication status | Published - 6 Jul 1994 |
| Event | Nonlinear Dynamics in Lasers and Optical Systems 1993 - Moscow, Russian Federation Duration: 27 Jun 1993 → 4 Jul 1993 |
Funding
7118 TONICS. We also acknowledge financial support from SERC grants GR/G/12665 and GR/H/62060, from the CNR Research grant n. 92.01369.CTO2 and from the NATO Collaborative Research grant n.921142. This research was carried out in the framework of the ESPRIT Basic Research Actions 6934 QUINTEC and
Keywords
- optical parametric oscillator
- spatiotemporal instabilities
- ring resonator
- spatial patterns
- numerical simulations
- nonlinear optics