可提升被动锁模光纤激光器计算效率的分步傅里叶全局误差局部能量法

严润彬; 何晓颖; 张川; 张银东; 饶岚

doi:10.37188/CO.EN.2022-0016

可提升被动锁模光纤激光器计算效率的分步傅里叶全局误差局部能量法

北京邮电大学电子工程学院天地互联与融合北京市重点实验室, 北京 100876

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中图分类号: TN248
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出版历程
- 收稿日期: 2022-09-20
- 修回日期: 2022-10-24
- 录用日期: 2022-11-22
- 网络出版日期: 2022-12-30

SSFM-global-error-local-energy method for improving computational efficiency of passively mode-locked fiber laser

doi: 10.37188/CO.EN.2022-0016

School of Electronic Engineering and Beijing Key Laboratory of Space-Ground Interconnection and Convergence, Beijing University of Posts and Telecommunications, Beijing 100876, China

Funds: Supported by Foundamental of Research Funds for the Centre Universities (No.2021RC05); National Natural Science Foundation of China (No.61675046, No.61935005)

More Information

Author Bio:
YAN Run-bin (1998—), male, born in Kunming, Yunnan Province, master student. He received hisbachelor’s degree from Beijing University of Posts and Telecommunications in 2020. He is mainly engaged in the research of mode-locked fiber laser and nonlinear optics. E-mail：yanrunbin@bupt.edu.cn

HE Xiao-ying (1981—), female, born in Jingzhou, Hubei Province, Ph.D., associate research fellow. She received her Ph.D. from Huazhong University of Science and Technology in 2009. She is mainly engaged in the research of semiconductor lasers, fiber lasers, graphene optoelectronic devices and other novel optoelectronic devices. E-mail：xiaoyinghe@bupt.edu.cn

Corresponding author: xiaoyinghe@bupt.edu.cn

摘要

摘要:
本文提出了一种提高被动锁模光纤激光器计算效率的方法,该方法由对称分步傅立叶方法（SSFM）和全局误差局部能量（GELE）方法组成。该方法可将与全局误差相关的局部能量增量限制在一定范围内来控制步长。该方法具有自动步长调整机制。达到同程度的计算精度，本文方法的计算时间为255 s，而小的恒定步长SSFM方法需要3855 s。这表明本文方法可以将计算效率提高10余倍。本文方法还可以通过RK4IP、Adams、预测-校正等高阶算法进行扩展，以提高精度。
- 锁模光纤激光器 /
- 耗散孤子 /
- 分步傅里叶法 /
- 自适应方法
Abstract:
We propose a method for improving the computational efficiency of passively mode-locked fiber laser, which is composed by Symmetric Split-step Fourier Method (SSFM) and the Global-Error-Local-Energy (GELE) method for solving propagating equations. Our proposed method relies on the limitation of local energy increment related with global error within a certain value to control the selection of step size. This method has advantage of an automatic step adjustment mechanism. To achieve the same order of computation accuracy, the computational time of our method is 255 s, while SSFM with small constant step size method needs to calculate 3855 s. The computational time of our proposed method is one or two orders of magnitude less than that of the SSFM, which indicates our method can enhance the computational efficiency by a factor up to 10. It could be expanded with high-order algorithms, such as the fourth-order Runge-Kutta in the interaction picture (RK4IP), Adams, predictor–corrector, etc. for improving the accuracy.
- mode-locked fiber laser /
- dissipative soliton /
- split-step Fourier method /
- adaptive method

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Figure 1. Schematic diagram of all-normal-dispersion passively mode-locked Er-doped fiber laser

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Figure 2. The relationship between global error and the local energy increment δ

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Figure 3. Energy evolution within a local step in each loop

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Figure 4. The spectra of dissipative soliton. (a) SSFM-GELE method; (b) SSFM-fine method

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Figure 5. The temporal intensity of dissipative soliton

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Figure 6. Results from numerical simulation of dissipative soliton showing temporal evolution of the pulse in cavity. (a) By the SSMF-GELE method. (b) By the SSMF-Fine method. Both (a) and (b) are color map. (c) and (d) are waveforms over the propagation loop of 300.

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Figure 7. Global error and the computational time calculated by GELE and constant methods

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