跳到主要內容

臺灣博碩士論文加值系統

(54.225.48.56) 您好!臺灣時間:2022/01/19 21:17
字體大小: 字級放大   字級縮小   預設字形  
回查詢結果 :::

詳目顯示

: 
twitterline
研究生:盧朝文
研究生(外文):Tsao-Wen Lu
論文名稱:次波長光學系統之分析與模擬
論文名稱(外文):Simulation and Analysis on Optical Systems with Subwavelength Scale
指導教授:陳志隆陳志隆引用關係
指導教授(外文):Jyh-Long Chern
學位類別:碩士
校院名稱:國立成功大學
系所名稱:物理學系碩博士班
學門:自然科學學門
學類:物理學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:中文
論文頁數:101
中文關鍵詞:時域光束傳播法有限差分光束傳播法有限差分法時域有限差分法
外文關鍵詞:BPMFDMTDBPMFDTDM
相關次數:
  • 被引用被引用:3
  • 點閱點閱:287
  • 評分評分:
  • 下載下載:82
  • 收藏至我的研究室書目清單書目收藏:0
在這篇論文裡,我們整理了有限差分在光學系統模擬上的一系列應用,包含了有限差分法、有限差分光束傳播法,還有時域分析中的時域有限差分法與時域有限差分光束傳播法,它們都可以應用到次波長的結構模擬上。除了專書之外,我們還研讀了許多相關論文,而將它們的發展歷史、理論推導…等等作有系統的整理,而且也完成了大部分的程式,並且也去驗證了論文上的結果。最後並實際地運用在一些典型的波導結構的計算上。
In this thesis, we focus on simulation and analysis of optical system with subwavelength scale using finite difference scheme which include finite difference method (FDM), finite difference beam propagation method (FD-BPM), finite difference time domain method (FDTDM), and time-domain beam propagation method (TD-BPM). We review many related papers and study carefully how the wave equation and finite difference form is derived. We also implemented most of them base on Matlab. Finally, we use these programs to simulate some waveguide structures and validate out code by checking the result with published data.
目錄
誌謝……………………………………………………………………Ⅰ
中文摘要………………………………………………………………Ⅱ
Abstract………………………………………………………………Ⅲ
目錄……………………………………………………………………Ⅳ
表目錄…………………………………………………………………Ⅶ
圖目錄…………………………………………………………………Ⅷ
第一章 緒論
1-1 研究動機…………………………………………………………1-1
1-2 次波長光學系統設計的應用……………………………………1-2
1-3 程式發展平台與工具……………………………………………1-2
1-4 論文結構…………………………………………………………1-4
第二章 解析法
2-1 三層平板結構……………………………………………………2-1
2-2 梯狀分佈光纖……………………………………………………2-10
2-3 有效折射率………………………………………………………2-13
第三章 有限差分法
3-1 FDM的歷史回顧…………………………………………………3-1
3-2 FD的概念 ………………………………………………………3-1
3-3 FDM的波方程式推導……………………………………………3-3
3-4 FDM的有限差分形式……………………………………………3-6
3-5 邊界條件…………………………………………………………3-9
3-6 程式化……………………………………………………………3-10
3-7 本徵值的解法……………………………………………………3-13
3-8 模擬結果…………………………………………………………3-13
3-9 小結………………………………………………………………3-14
第四章 光束傳播法
4-1 FD-BPM的歷史回顧 ……………………………………………4-2
4-2 FD-BPM的波方程式推導 ………………………………………4-2
4-3 FD-BPM的有限差分式 …………………………………………4-5
4-4 邊界條件…………………………………………………………4-7
4-5 虛數軸傳播法……………………………………………………4-9
4-6 隱含式交替方向法………………………………………………4-12
4-7 廣角光束傳播法…………………………………………………4-15
4-8 模擬結果…………………………………………………………4-19
第五章 時域分析
5-1 時域有限差分法…………………………………………………5-1
5-2 時域光束傳播法…………………………………………………5-7
第六章 總結
附錄A 波方程式的推導 ……………………………………………A-1
附錄B FDM的有限差分式係數推導…………………………………B-1
附錄C WA-BPM的係數推導 …………………………………………C-1
[1-1] R. März, Integrated Optics, ARTECH HOUSE, Boston, 1995.
[1-2] R.G. Hunsperger, Integrated optics: theory and technology, Spriger-Verlag, New York, 1992.
[1-3] 張智星,MATLAB程式設計與應用,清蔚科技,2000。
[1-4] 蒙以正,MATLAB5專業的設計技巧,�眳p資訊,1998。
[2-1] K. Kawano and T. Kitoh, Introduction to Optical Waveguide Analysis, Wiley, New York, 2001.
[2-2] A.W. Snyder and J.D. Love, Optical waveguide theory,
Chapman and Hall, London, 1983.
[2-3] R. März, Integrated Optics, ARTECH HOUSE, Boston, 1995.
[2-4] Y.P Chiou, Y.C. Chiang and H.C. Chang, “Improved three-point formulas considering the interface conditions in the finite-difference analysis of step index optical devices,” J. of Lightwave Technol., vol.18, pp.243-251, 2000.
[2-5] C.L. Xu, W.P. Huang and S.K. Chaudhuri, "Efficient and accurate vector mode calculation by beam propagation method," J. of Lightwave Technol., vol.11, pp.1209-1215,1993.
[2-6] E. Snitzer, “Cylindrical dielectric waveguide modes,” J. Opt. Soc. Am., vol.51, pp.491-498, 1961.
[2-7] D. Gloge, “Weakly guiding fibers,” Appl. Opt., vol.10, pp. 2252-2258, 1971.
[3-1] R. Scarmozzino, A. Gopinath, R. Pregla and S. Helfert, “ Numerical techniques for modeling guided-wave photonic devices,” IEEE J. of Sel. Top. In Q. Electr., Vol.6, No.1, pp.150-162, 2000.
[3-2] T.M. Benson, P. Sewell, P.C. Kendall and S. Sujecki, “Finite difference methods in optoelectronic simulation,” Inter. conf. On transparent optical networks, pp.47-48, 1999.
[3-3] C. Vassallo, “1993-1995 optical mode solvers,” Opt. Quantum Electron., Vol.29, pp.95-114, 1997.
[3-4] K.S. Chiang, “Review of numerical and approximate method for the modal analysis of general optical dielectric waveguides,” Opt. Quantum Electron., Vol.26, pp.113-134, 1994.
[3-5] M.J. Robertson, S. Ritchie and P. Dayan, “Semiconductor waveguides: analysis of optical propagation in single rib structure and directional couplers,” IEE Proc. J., vol.132, pp.336-342, 1985.
[3-6] M. Stern, “Semivectorial polarized finite difference methods optical waveguides with arbitrary index profiles,” IEE Proc. J., vol. 135, pp.56-63, 1988.
[3-7] M. Stern, “Semivectorial polarized H field solutions for dielectric waveguides with arbitrary index profiles,” IEE Proc. J., vol. 135, pp.333-338, 1988.
[3-8] C.L. Xu, W.P. Huang, M.S. Stern and S.K. Chaudhuri, “Full-vectorial mode calculations by finite difference method,” IEE Proc. J., vol. 141, pp.281-286, 1994.
[3-9] C. Vassallo and J. Michiel, “Comparison of a few transparent boundary conditions for finite-difference optical mode-solvers,” J. Lightwave Technol., vol.15, pp.397-402, 1997.
[3-10] D.R. Heatley, G. Vitrant and A. Kevorkian, “Simple finite-difference algorithm for calculating waveguide modes,” Opt. Quantum Electron., vol.26, pp.151-163, 1994.
[3-11] A.W. Snyder and J.D. Love, Optical waveguide theory,
Chapman and Hall, London, 1983.
[4-1] M.D. Feit and J.A. Fleck, Jr., “Light propagation in grade-index optical fibers,” Appl. Opt., vol. 17, pp.3990-3998, 1978.
[4-2] Y. Chung and N. Dagli, “Assessment of finite difference beam propagation,” IEEE J. Quantum Electron., vol.26, pp.1335-1339, 1990.
[4-3] M. Koshica and Y. Tsuji, “A wide-angle finite element beam propagation method,” IEEE Photon. Technol. Lett., vol.8, pp.1208-1210, 1996.
[4-4] T.M. Benson, P. Sewell, A. Vukovic and D.Z. Djurdjevic, “Advances in finite difference beam propagation method,” Inter. conf. On transparent optical networks, pp.36-41, 2001.
[4-5] R. Scarmozzino, A. Gopinath, R. Pregla and S. Helfert, “ Numerical techniques for modeling guided-wave photonic devices,” IEEE J. of Sel. Top. In Q. Electron., Vol.6, pp.150-162, 2000.
[4-6] D. Yevick, “A guide to electric field propagation techniques for guided-wave optics,” Opt. Quantum Electron., vol.26, pp.185-197, 1994.
[4-7] W.P. Huang, C.L. Xu, S.T. Chu and S.K. Chaudhuri, “A vector beam propagation method for guided-wave optics,” IEEE Photon. Technol. Lett., vol.3, pp.910-913, 1991.
[4-8] W.P. Huang, C.L. Xu and S.K. Chaudhuri, “A finite-difference vector beam propagation method based on H-fields,” IEEE Photon. Technol. Lett., vol.3, pp.1117-1120, 1991.
[4-9] W.P. Huang, C.L. Xu and S.K. Chaudhuri, “A finite-difference vector beam propagation method for three-dimensional waveguide structures,” IEEE Photon. Technol. Lett., vol.4, pp.148-151, 1992.
[4-10] W.P. Huang, C.L. Xu, S.T. Chu and S.K. Chaudhuri, “The finite-difference vector beam propagation method: analysis and assessment,” J. Lightwave Technol., vol.10, pp.295-305, 1992.
[4-11] W.P. Huang and C.L. Xu, “Simulation of three-dimensional optical waveguides by a full-vector beam propagation method,” IEEE J. of Quantum Electron., vol.29, pp.2639-2649, 1993.
[4-12] C.L. Xu, W.P. Huang, S.K. Chaudhuri and J. Chrostowski, “An unconditionally stable vectorial beam propagation method for 3-D structures,” IEEE Photon. Technol. Lett., vol.6, pp.549-551, 1994.
[4-13] G.R. Hadley, “Wide-angle beam propagation using Padé approximant operators,” Opt. Lett., vol. 17, pp. 1426-1428, 1992.
[4-14] G.R. Hadley, “Multistep Method for wide-angle beam propagation,” Opt. Lett., vol. 17, pp. 1743, 1992.
[4-15] F. Ma, C.L. Xu and W.P. Huang, “Wide-angle full vectorial beam propagation method,” IEE Proc. J., vol.143, pp.139-143, 1996.
[4-16] G.R. Hadley, “Transparent boundary condition for beam propagation method,” Opt. Lett., vol. 16, pp. 624-626, 1991.
[4-17] G.R. Hadley, “Transparent boundary condition for the beam propagation method,” IEEE J. of Quantum Electron., vol.28, pp.363-370, 1992.
[4-18] J.P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Computational Phys., vol.114, pp.185-200, 1994.
[4-19] W.P. Huang, C.L. Xu, W. Lui and K. Yokoyama, “Perfectly matched layer(PML) boundary condition for the beam propagation method,” IEEE Photon. Technol. Lett., vol.8, pp.649-651, 1996.
[4-20] C.L. Xu, W.P. Huang and S.K. Chaudhuri, “Efficient and accurate vector mode calculations by beam propagation method,” J. of Lightwave Technol., vol.11, pp.1209-1215, 1993.
[4-21] S. Jüngling and J.C. Chen, “A study and Optimization of eigenmode calculations using the imaginary distance beam propagation method,” IEEE J. of Quantum Electron., vol.30, pp.2098-2105, 1994.
[4-22] J. Yamauchi, T. Ando and H. Nakano “Beam-propagation analysis of optical fibers by alternating direction implicit method,” Eletron. Lett., vol.27, pp.1663-1665, 1991.
[4-23] P.L. Liu and B.J. Li “Semivectorial beam-propagation method for analyzing polarized modes of rib waveguides,” IEEE J. of Quantum Electron., vol.28, pp.778-782, 1992.
[4-24] P.L. Liu, S.L. Yang and D.M. Yuan “The semivectorial beam propagation method,” IEEE J. of Quantum Electron., vol.29, pp.1205-1211, 1993.
[4-25] Y.L. Hsueh, M.C. Yang and H.C. Chang, “Three-dimensional noniterative full-vectorial beam propagation method based on the alternating direction implicit method,” J. of Lightwave Technol., vol.17, pp.2389-2397, 1999.
[4-26] W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery, Numerical Recipe, Cambridge University Press, New York, 1992.
[4-27] G.R. Hadley, “Wide-angle beam propagation using Padé approximant operators,” Opt. Lett., vol. 17, pp. 1426-1428, 1992.
[4-28] G.R. Hadley, “Multistep Method for wide-angle beam propagation,” Opt. Lett., vol. 17, pp. 1743, 1992.
[4-29] F. Ma, C.L. Xu and W.P. Huang, “Wide-angle full vectorial beam propagation method,” IEE Proc. J., vol.143, pp.139-143, 1996.
[4-30] Y.P. Chiou and H.C. Chang, “Efficient beam-propagation method based on Padé approximants in the propagation direction,” Opt. Lett., vol.22, pp.949-951, 1997.
[4-31] Y.P. Chiou, Y.C.Chiang, and H.C. Chang, "Improved three point
formulas considering the interface conditions in the finite-
difference analysis of step-index optical devices," Journal of
Lightwave Technology, vol.18, pp.243-251, 2000.
[5-1] K.S. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,”IEEE Trans. Antennas Propagag., vol.AP-14,pp.302-307,1966.
[5-2] G. Mur, “Absorbing boundary conditions for the finite-difference time-domain approximation of the time domain electromagnetic field equations,”IEEE Trans. Electromagn. Compat., vol.EMC-23,pp.377-382,1981.
[5-3] J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Computat. Phys., vol.114, pp. 185-220,1994.
[5-4] A. Taflove and S.C. Hagness, Computational Electrodynamics, Artech House, 2000.
[5-5] K.L. Shlager, J.G. Maloney, S.L. Ray and A.F. Peterson, “Relative accuracy of several finite-difference time-domain methods in two and three dimensions,” IEEE Trans. Antennas Propagat., vol.41, pp.1732-1737, 1993.
[5-6] H.M. Masoudi and J.M. Arnold, “Parallel beam propagation methods,” IEEE Photon. Technol. Lett., vol.6, pp.848-850, 1994.
[5-7] W.P. Huang, C.L. Xu and J. Chrostowski, “A time-domain propagation scheme for simulation of dynamics of optical guided-wave devices,” IEEE Photon. Technol. Lett., vol.5, pp.1071-1073, 1993.
[5-8] R.Y. Chan and J.M. Liu, “Time-domain wave propagation in optical structures,” IEEE Photon. Technol. Lett., vol.6, 1001-1003, 1994.
[5-9] F. Horst, H.J.W.M. Hoekstra, A. Driessen and T.J.A. Popma, “Time domain beam propagation method for the simulation of temporal solitons in periodic media,” LEOS, vol.2, pp.27-28, 1995.
[5-10] P.L. Liu, Q. Zhao and F.S. Choa, “Slow-wave finite-difference beam propagation method,” IEEE Photon. Technol. Lett., vol.7, 890-892, 1995.
[5-11] F. Ma, “Slowly Varying envelope simulation of optical waves in time domain with transparent and absorbing boundary conditions,” J. of Lightwave Technol., vol.15, pp.1974-1985, 1997.
[5-12] G.H. Jin, J. Harari, J.P. Vilcot and Decoster, “An improved time-domain beam propagation method for integrated optics components,” IEEE Photon. Technol. Lett., vol.9, pp.348-350, 1997.
[5-13] H.M. Masoudi, M.A. Al-sunaidi and J.M. Arnold, “Time-domain finite-difference beam propagation method,” IEEE Photon. Lett., vol.11, pp.1274-1276, 1999.
[5-14] J. Shibayama, T. Takahashi, J. Yamauchi and H. Nakano, “Efficient time-domain finite-difference beam propagation methods for the analysis of slab and circularly symmetric waveguides,” J. of Lightwave Technol., vol.18, pp.437-442, 2000.
[5-15] H.M. Masoudi, M.A. Al-Sunaidi and J.M. Arnold, “Efficient time-domain beam propagation method for modeling integrated optical devices,” J. of Lightwave Technol., vol.19, pp.759-771, 2001.
連結至畢業學校之論文網頁點我開啟連結
註: 此連結為研究生畢業學校所提供,不一定有電子全文可供下載,若連結有誤,請點選上方之〝勘誤回報〞功能,我們會盡快修正,謝謝!
QRCODE
 
 
 
 
 
                                                                                                                                                                                                                                                                                                                                                                                                               
第一頁 上一頁 下一頁 最後一頁 top