Noise-Sustained Convective Structures in Nonlinear Optics

Noise-sustained structures due to convective instability in finite domains

In large aspect ratio systems with broken reflection symmetry the onset of instability is closely related to the threshold for absolute instability in the corresponding unbounded system. The upstream boundary (with respect to the group velocity) plays a crucial part in fixing the frequency of the nonlinear wavetrain that results, and hence its stability properties. In contrast in the convective...

Growth dynamics of noise-sustained structures in nonlinear optical resonators.

The existence of macroscopic noise-sustained structures in nonlinear optics is theoretically predicted and numerically observed, in the regime of convective instability. The advection-like term, necessary to turn the instability to convective for the parameter region where advection overwhelms the growth, can stem from pump beam tilting or birefringence induced walk-off. The growth dynamics of ...

Synchronization of vectorial noise-sustained structures.

The synchronization of vectorial, noise-sustained structures in nonlinear optical systems is discussed. In particular, the analysis is made for nondegenerate optical parametric oscillators with walk off. The interplay between walk off and noise fluctuations leads to the formation of noise-sustained transverse patterns in both the signal and idler fields. Despite the fact that both patterns are ...

Quantum theory of light and noise polarization in nonlinear optics.

We present a consistent quantum theory of the electromagnetic field in nonlinearly responding causal media, with special emphasis on Chi(2) media. Starting from QED in linearly responding causal media, we develop a method to construct the cubic Hamiltonian expressed in terms of the complex nonlinear susceptibility in a quantum mechanically consistent way. In particular, we show that the method ...

Nonlinear Optics Basics: Kramers-Krönig Relations in Nonlinear Optics