Controlling chaos of optical second-harmonic generation

Xihe Zhang; Ke Shen

doi:10.1117/12.318258

14 August 1998 Controlling chaos of optical second-harmonic generation

Xihe Zhang, Ke Shen

Proceedings Volume 3556, Electro-Optic and Second Harmonic Generation Materials, Devices, and Applications II; (1998) https://doi.org/10.1117/12.318258
Event: Photonics China '98, 1998, Beijing, China

Abstract

The paper performs a numerical investigation of controlling chaos in optical second-harmonic generation system. Using a method of variable delaying feedback to control chaos of the optical second-harmonic generation system, we have found that chaos is controlled effectively. We give the method of locating controllable parameters' regions. With the analysis of maximal Lyapunov exponent of the system, it is found that, suitable delay time and feedback stiffness can make chaos be controlled so as to stabilize the system. The orbits of the controlled system are the unstable orbits in the chaotic attractor of initial system.

Citation Download Citation

Xihe Zhang and Ke Shen "Controlling chaos of optical second-harmonic generation", Proc. SPIE 3556, Electro-Optic and Second Harmonic Generation Materials, Devices, and Applications II, (14 August 1998); https://doi.org/10.1117/12.318258

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