Adaptive higher-order split-step Fourier algorithm for simulating lightwave propagation in optical fiber
Liu, Xueming
刊名optics communications
2009-04-01
卷号282期号:7页码:1435-1439
关键词Nonlinear Schrodinger's equations Split-step Fourier method Soliton
ISSN号0030-4018
产权排序1
英文摘要in this paper, we propose an adaptive step-size control algorithm for solving nonlinear schrodinger's equations. the proposed algorithm has a fourth-order local accuracy and is a system-independent rule for adjusting the step sizes. this algorithm has two potential advantages, an automatic step adjustment mechanism and higher-order accuracy. a test example shows that, by comparing to the fixed step-size method and the local-error method, our method decreases the computational time by about 10 and 70 times, respectively. the performance of the proposed method is validated and compared to commonly used step-size selection methods by simulating the evolution of a third-order soliton, the collision of a fundamental soliton pair, and the supercontinuum generation. numerical simulations show that the proposed method can increase the computational efficiency by more than one and two orders of magnitude in comparison with the symmetrized split-step fourier method. in addition, the computational efficiency is improved with the increase of the accuracy of solutions. (c) 2008 elsevier b.v. all rights reserved.
WOS标题词science & technology ; physical sciences
类目[WOS]optics
研究领域[WOS]optics
关键词[WOS]nonlinear schrodinger-equation ; photonic crystal fibers ; supercontinuum generation ; dispersion ; systems ; optimization
收录类别SCI ; EI
语种英语
WOS记录号WOS:000264366700037
公开日期2011-09-30
内容类型期刊论文
源URL[http://ir.opt.ac.cn/handle/181661/10819]  
专题西安光学精密机械研究所_瞬态光学技术国家重点实验室
作者单位Chinese Acad Sci, State Key Lab Transient Opt & Photon, Xian Inst Opt & Precis Mech, Xian 710119, Peoples R China
推荐引用方式
GB/T 7714
Liu, Xueming. Adaptive higher-order split-step Fourier algorithm for simulating lightwave propagation in optical fiber[J]. optics communications,2009,282(7):1435-1439.
APA Liu, Xueming.(2009).Adaptive higher-order split-step Fourier algorithm for simulating lightwave propagation in optical fiber.optics communications,282(7),1435-1439.
MLA Liu, Xueming."Adaptive higher-order split-step Fourier algorithm for simulating lightwave propagation in optical fiber".optics communications 282.7(2009):1435-1439.
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