Kerr oscillators nonlinear optics

After an overview of the main papers devoted to chaos in lasers (Section I.A) and in nonlinear optical processes (Section I.B), we present a more detailed analysis of dynamics in a process of second-harmonic generation of light (Section II) as well as in Kerr oscillators (Section III). The last case we consider particularly in the context of coupled nonlinear systems. Finally, we present a cumulant approach to the problem of quantum corrections to the classical dynamics in second-harmonic generation and Kerr processes (Section IV). 

One of the best known and most intensively studied optical models is an oscillator with Kerr nonlinearity. Mutually coupled Kerr oscillators can be successfully used for a study of couplers the systems consist of a pair of coupled Kerr fibers. The first two-mode Kerr coupler was proposed by Jensen [136] and investigated in depth [136,137]. Kerr couplers affected by quantization can... 

The tensors and 7 constitute the molecular origin of the second-and third-order nonlinear optical phenomena such as electro-optic Pock-els effect (EOPE), optical rectification (OR), third harmonic generation (THG), electric field induced second harmonic generation (EFI-SHG), intensity dependent refractive index (IDRI), optical Kerr effect (OKE), electric field induced optical rectification (EFI-OR). To save space we do not indicate the full expressions for and 7 related to the different second and third order processes but we introduce the notations —(Ajy,ui,cj2) and 7(—a , o i,W2,W3), where the frequency relations to be used for the various non-linear optical processes which can be obtained in the case of both static and oscillating monochromatic fields are reported in Table 1.7. 

The electric field of a light beam exerts a torque on anisotropic molecules by coupling to the oscillating dipole induced in the moleeule by the field itself. The resulting light-induced molecule reorientation is the main mechanism for optical nonlinearity in transparent liquids, the so-ealled optical Kerr effect [17]. 

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