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Proceedings Paper

Behavior analysis of an organic polymer optical multi-stable lasing system
Author(s): Junqin Feng; Fugen Wu; Tingwan Wu
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Paper Abstract

This paper presents some new study results on stability analysis of an organic polymer optical multi-stable lasing device based on the Poincare nonlinear theory. The dynamics of light field in the medium are described with the extended forced oscillation model of optical multi-stable and lasing system. These nonlinear equations are firstly expanded as a Taylor series and the nonlinear terms are ignored, then linear equations are obtains. Under the small perturbation these linear equations have the same properties as the nonlinear equations. Therefore, the linear system can be instead of the nonlinear system for stability analysis. Moreover, through the theoretical analysis and numerical analogue, the region of stability or instability (attractors or repellors) is discussed by eigenvalue of the linear equations coefficients matrix. Meanwhile the type of stability or instability is given. Finally, theoretical and numerical analyzing shows that the regions of stability are some different from the previous research results. These results should be significant in some degree for an organic polymer optical multi-stable lasing device research. In the low branch of instability, the incident light field of the transient response keeps attenuation oscillation, and the spectrum of frequency is not dispersible spectrum. Numerical simulation shows that the system appears special output characteristics and dynamic behaviors with the step signal and analysis this dynamic behavior on phase position map. Judge these behaviors with Lyapunov exponent.

Paper Details

Date Published: 22 February 2008
PDF: 7 pages
Proc. SPIE 6622, International Symposium on Photoelectronic Detection and Imaging 2007: Laser, Ultraviolet, and Terahertz Technology, 66220V (22 February 2008); doi: 10.1117/12.790810
Show Author Affiliations
Junqin Feng, Guangdong Industrial Univ. (China)
Fugen Wu, Guangdong Industrial Univ. (China)
Tingwan Wu, South China Univ. of Technology (China)


Published in SPIE Proceedings Vol. 6622:
International Symposium on Photoelectronic Detection and Imaging 2007: Laser, Ultraviolet, and Terahertz Technology

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