Nonlinear optics, chaos

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). 

Nonlinear optics is a very convenient area to investigate the phenomenon of deterministic chaos both from theoretical and experimental points of view. 

Another class of good candidates for a study of chaos in nonlinear optics are wave-mixing processes in which chaos appears in the propagation of laser light through passive nonlinear media [93]. A chaotic behavior was observed in three-wave mixing [94] and in four-wave mixing [95]. 

Jiang, C.-W., Chao, H., Li, R.-H., Li, H., Ji, L.-N. Syntheses, characterization and third-order nonlinear optical properties of ruthenium(II) complexes containing 2-phenylimidazo-[4,5-/][l,10]phenanthroline and extended diimine ligands. Polyhedron 20, 2187-2193 (2001)... 

Chang HL, Chao TY, Yang CC, Dai SA, Jeng RJ (2007) Second-order nonlinear optical hyperbranched polymers via facile ring-opening addition reaction of azetidine-2,4-dione. Eur Polym J 43 3988-3996... 

If this expected photoemission really takes place, the resultant spectra should reflect the nonhnear dynamics of nonadiabatic vibrational motion under an external field, which is similar to classical driven oscillators such as a forced Duffing oscillator [156, 239]. Therefore various nonlinear phenomena such as limit cycle, frequency locking, and chaos (1.5-dimensional chaos) [156, 239] can be expected, which would be intrinsically originated from the quantmn dynamics. Furthermore, one may be able to control the frequency and amplitude of the photoemission by varying the laser parameters applied. It may be possible to utilize the photoemission as a new optical somce and also as finger-print signals to identify molecular species and/or molecular states. In this section we illustrate the appearance of such... 

---