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22 February 2008 Behavior analysis of an organic polymer optical multi-stable lasing system
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Proceedings Volume 6622, International Symposium on Photoelectronic Detection and Imaging 2007: Laser, Ultraviolet, and Terahertz Technology; 66220V (2008) https://doi.org/10.1117/12.790810
Event: International Symposium on Photoelectronic Detection and Imaging: Technology and Applications 2007, 2007, Beijing, China
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.
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Junqin Feng, Fugen Wu, and Tingwan Wu "Behavior analysis of an organic polymer optical multi-stable lasing system", Proc. SPIE 6622, International Symposium on Photoelectronic Detection and Imaging 2007: Laser, Ultraviolet, and Terahertz Technology, 66220V (22 February 2008); https://doi.org/10.1117/12.790810
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