A novel numerical algorithm for nth-order cascaded Raman fiber lasers based on genetic algorithm and shooting method

Zujun Qin; Xiaojun Zhou; Fadan Li; Haocheng Wu; Zili Zou

doi:10.1117/12.756417

7 February 2008 A novel numerical algorithm for nth-order cascaded Raman fiber lasers based on genetic algorithm and shooting method

Zujun Qin, Xiaojun Zhou, Fadan Li, Haocheng Wu, Zili Zou

Author Affiliations +

Proceedings Volume 6839, Nonlinear Optics: Technologies and Applications; 68391H (2008) https://doi.org/10.1117/12.756417
Event: Photonics Asia 2007, 2007, Beijing, China

Abstract

In this paper, we proposed a novel numerical algorithm for nth-order cascaded Raman fiber lasers (CRFLs) with the combination of genetic algorithm (GA) and shooting method. Although shooting method possesses fast speed in solving nonlinear two-point boundary-value ordinary differential equations, calculating process may diverge if it is directly applied in the coupled equations of CRFLs when arbitrarily guessed initial values are out of the domain of convergence. To overcome the problem, genetic algorithm which has rather strong searching ability in global space is firstly employed to search for the initial value in convergent domain for each Stokes power; and then, the task of finding the more accurate initial values is finished by shooting method instead of GA whose searching ability is weak in local region. As an example, a sixth-order Ge-doped CRFL has been simulated by the novel algorithm. Calculated results show that the new method can effectively and quickly solve the coupled equations of the CRFL without the problem of divergence.

Citation Download Citation

Zujun Qin, Xiaojun Zhou, Fadan Li, Haocheng Wu, and Zili Zou "A novel numerical algorithm for nth-order cascaded Raman fiber lasers based on genetic algorithm and shooting method", Proc. SPIE 6839, Nonlinear Optics: Technologies and Applications, 68391H (7 February 2008); https://doi.org/10.1117/12.756417

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