光脈沖在光波導中傳播的顯式時域法
AN EXPLICIT TIME-DOMAIN METHOD FOR SOLVING THE PROPAGATION OF THE PULSE IN OPTICAL STRUCTURES
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摘要: 本文提出一種穩(wěn)定的模擬光波導中波傳播的顯式時域方法,該方法以Dufort-Frankel法和變量代換法為基礎(chǔ),采用了顯式的差分方法,計算快速,節(jié)省內(nèi)存,行之有效;應(yīng)用該方法在光波導中將500fs的光脈沖傳播2mm,得出了光脈沖的瞬態(tài)值及波導參數(shù)對脈沖的影響情況。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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高本慶.時域有限差分法.北京:國防工業(yè)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]趙策洲.全硅集成光學--理論與工藝(VII)(續(xù)六).半導體光電,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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