Regulation of external harmonic frequency on the route to chaos

Xuhong Chu; Yuejin Zhao; Liquan Dong

doi:10.1117/12.838202

24 November 2009 Regulation of external harmonic frequency on the route to chaos

Xuhong Chu, Yuejin Zhao, Liquan Dong

Proceedings Volume 7509, 2009 International Conference on Optical Instruments and Technology: Optoelectronic Devices and Integration; 750915 (2009) https://doi.org/10.1117/12.838202
Event: International Conference on Optical Instrumentation and Technology, 2009, Shanghai, China

Abstract

We experimentally implement the periodic and quasi-periodic bifurcations routes to chaos based on the semiconductor laser with optical feedback. The effects of the interaction between the relaxation oscillation frequency and external harmonic frequency on the quasi-periodic and period-doubling bifurcations routes to chaos are experimentally analyzed. The results show that the output of the laser evolve into chaos along the period-doubling bifurcations route with the optical feedback strength increasing when the relaxation oscillation frequency is integer multiple of the external harmonic frequency, otherwise, the output of the laser evolve into chaos along the quasi-periodic bifurcations route with the optical feedback strength increasing when the relaxation oscillation frequency is not an exact multiple of the external harmonic frequency. At the same time, the routes of the quasi-periodic and period-doubling bifurcations to chaos are proved theoretically by using the rate equations of the semiconductor laser subject to optical feedback. The results of numerical simulations are consistent very well with our experimental results.

Citation Download Citation

Xuhong Chu, Yuejin Zhao, and Liquan Dong "Regulation of external harmonic frequency on the route to chaos", Proc. SPIE 7509, 2009 International Conference on Optical Instruments and Technology: Optoelectronic Devices and Integration, 750915 (24 November 2009); https://doi.org/10.1117/12.838202

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