光脉冲在光波导中传播的显式时域法
AN EXPLICIT TIME-DOMAIN METHOD FOR SOLVING THE PROPAGATION OF THE PULSE IN OPTICAL STRUCTURES
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摘要: 本文提出一种稳定的模拟光波导中波传播的显式时域方法,该方法以Dufort-Frankel法和变量代换法为基础,采用了显式的差分方法,计算快速,节省内存,行之有效;应用该方法在光波导中将500fs的光脉冲传播2mm,得出了光脉冲的瞬态值及波导参数对脉冲的影响情况。Abstract: An explicit and stable time-domain method for solving the propagation of wave envelope in optical structures is proposed. Based on Dufort-Frankel method and variable change, it is a explicit difference. The method takes less memory and less time and it is applied to propagation of a 500 fs pulse in a waveguide over 2mm. Transient behavior of the pulse and the effects of the waveguide parameters are given.
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高本庆.时域有限差分法.北京:国防工业出版社,1995年3月,153-163.[2]Chan R Y, Liu J M. Time-domain wave propagation in optical structures. IEEE Photonics Technol-[3]ogy Letters, 1994, 6(8): 1001-1003.[4]赵策洲.全硅集成光学--理论与工艺(VII)(续六).半导体光电,1995, 16(4):370-383.[5]Michael S, Michael E C. A beam propagation method that handles reflections. Optics Communica tions, 1994, 108(4): 191-196.[6]Smith G D. Numerical Solution of Partial Differential Equations, Finite Difference Methods, Third Edition, Clarendon Press, Oxford: 1986, 43-44.[7]Feng Xiang, Gar Lam Yip. An explicit and stable finite difference 2-D vector beam propagation method[J].IEEE Photonics Technology Letters.1994, 6(10):1248-1250[8]Ronald H G. Transparent boundary condition for beam propagation[J].Optics Letters.1991, 16(9):624-626
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