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Order parameter description of walk-off effect on pattern selection in degenerate optical parametric oscillators
Taki1, San Miguel M, Santagiustina
1Laboratoire de Physique des Laseres, Atomes et Molecules, CNRS UMR 8523, Centre d'Etudes et de Recherches Lasers et Applications, Universite des Sciences et Technologies de Lille, UFR de Physique Bainsertion markt. P5, F-59655 Villeneuve d'As.
Summary
Degenerate optical parametric oscillators show translating fronts due to walk-off effects. A real convective Swift-Hohenberg equation accurately models this nonlinear dynamics and pattern selection.
Area of Science:
- Nonlinear optics
- Laser physics
Background:
- Degenerate optical parametric oscillators (DOPOs) exhibit complex dynamics.
- The walk-off effect significantly influences pattern formation in nonlinear optical systems.
Purpose of the Study:
- To investigate the nonlinear dynamics and pattern selection in DOPOs under the influence of the walk-off effect.
- To model the behavior of translating fronts in DOPOs near the oscillation threshold.
Main Methods:
- Derivation of a real convective Swift-Hohenberg equation to describe the system's dynamics.
- Comparison of theoretical predictions with numerical solutions of the fundamental DOPO equations.
Main Results:
- The real convective Swift-Hohenberg equation effectively captures the main characteristics of the walk-off effect on pattern selection.
- Uniformly translating fronts and nonuniformly translating envelope fronts are observed.
- Excellent quantitative agreement between the model's predictions and numerical simulations for selected wave vector and instability threshold.
Conclusions:
- The developed Swift-Hohenberg model provides a robust framework for understanding walk-off effects in DOPOs.
- The findings offer insights into controlling pattern selection and stability in nonlinear optical systems.