中国物理B ›› 2006, Vol. 15 ›› Issue (2): 437-443.doi: 10.1088/1009-1963/15/2/034

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Adaptive split-step Fourier method for simulating ultrashort laser pulse propagation in photonic crystal fibres

邢光龙1, 韩颖1, 李曙光2, 周桂耀3, 侯蓝田3, 胡明列4, 栗岩锋4, 王清月4   

  1. (1)Institute of Infrared Optical Fibers and Sensors, College of Science,Yanshan University, Qinhuangdao 066004, China; (2)Institute of Infrared Optical Fibers and Sensors, College of Science,Yanshan University, Qinhuangdao 066004, China;Key Laboratory of Metastable Materials Science and Technology, Yanshan University, Qinhuangdao 066004, China; (3)Institute of Infrared Optical Fibers and Sensors, College of Science,Yanshan University, Qinhuangdao 066004, China;Key Laboratory of Metastable Materials Science and Technology, Yanshan University, Qinhuangdao 066004, China; (4)Key Laboratory of Optoelectronic Information Technical Science,Ministry of Education, College of Precision Instrument and Optoelectronics Engineering, Tianjin University, Tianjin 300072, China
  • 收稿日期:2005-06-10 修回日期:2005-11-08 出版日期:2006-02-20 发布日期:2006-02-20
  • 基金资助:
    Project supported by the State Key Development Program for Basic Research of China (Grant No 2003CB314905),the National High Technology Development Program of China (Grant No 2003AA311011) and Postdoctoral Workstation Research Program of Gulf Security Technology Co. Ltd.

Adaptive split-step Fourier method for simulating ultrashort laser pulse propagation in photonic crystal fibres

Li Shu-Guang (李曙光)ab, Xing Guang-Long (邢光龙)a, Zhou Gui-Yao (周桂耀)ab, Han Ying (韩颖)a, Hou Lan-Tian (侯蓝田)ab, Hu Ming-Lie (胡明列)c, Li Yan-Feng (栗岩锋)c, Wang Qing-Yue (王清月)c   

  1. a Institute of Infrared Optical Fibers and Sensors, College of Science,Yanshan University, Qinhuangdao 066004, China; b Key Laboratory of Metastable Materials Science and Technology, Yanshan University, Qinhuangdao 066004, China; c Key Laboratory of Optoelectronic Information Technical Science,Ministry of Education, College of Precision Instrument and Optoelectronics Engineering, Tianjin University, Tianjin 300072, China
  • Received:2005-06-10 Revised:2005-11-08 Online:2006-02-20 Published:2006-02-20
  • Supported by:
    Project supported by the State Key Development Program for Basic Research of China (Grant No 2003CB314905),the National High Technology Development Program of China (Grant No 2003AA311011) and Postdoctoral Workstation Research Program of Gulf Security Technology Co. Ltd.

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摘要： In this paper, the generalized nonlinear Schr\"{o}dinger equation (GNLSE) is solved by an adaptive split-step Fourier method (ASSFM). It is found that ASSFM must be used to solve GNLSE to ensure precision when the soliton self-frequency shift is remarkable and the photonic crystal fibre (PCF) parameters vary with the frequency considerably. The precision of numerical simulation by using ASSFM is higher than that by using split-step Fourier method in the process of laser pulse propagation in PCFs due to the fact that the variation of fibre parameters with the peak frequency in the pulse spectrum can be taken into account fully.

关键词: photonic crystal fibre, ultrashort laser pulse propagation, adaptive split-step Fourier method

Abstract: In this paper, the generalized nonlinear Schr?dinger equation (GNLSE) is solved by an adaptive split-step Fourier method (ASSFM). It is found that ASSFM must be used to solve GNLSE to ensure precision when the soliton self-frequency shift is remarkable and the photonic crystal fibre (PCF) parameters vary with the frequency considerably. The precision of numerical simulation by using ASSFM is higher than that by using split-step Fourier method in the process of laser pulse propagation in PCFs due to the fact that the variation of fibre parameters with the peak frequency in the pulse spectrum can be taken into account fully.

Key words: photonic crystal fibre, ultrashort laser pulse propagation, adaptive split-step Fourier method

中图分类号:  (Photonic bandgap materials)

  • 42.70.Qs
42.65.Re (Ultrafast processes; optical pulse generation and pulse compression) 42.65.Tg (Optical solitons; nonlinear guided waves) 42.55.Wd (Fiber lasers) 78.30.-j (Infrared and Raman spectra) 02.30.Nw (Fourier analysis)