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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 邱奕鵬(Yih-Peng Chiou) | |
| dc.contributor.author | Cheng-Han Du | en |
| dc.contributor.author | 杜承翰 | zh_TW |
| dc.date.accessioned | 2021-06-15T01:22:20Z | - |
| dc.date.available | 2011-07-31 | |
| dc.date.copyright | 2009-07-31 | |
| dc.date.issued | 2009 | |
| dc.date.submitted | 2009-07-23 | |
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Nakano, 'Beam propagation analysis of optical fibres by alternating direction implicit method,' Electron. Lett.,, vol. 27, no. 18, pp. 1663-1665, Aug. 1991. [24] G. R. Hadley, 'Transparent boundary condition for the beam propagation method,' IEEE J. Quantum Electron., vol. 28, no. 1, pp. 363-370, Jan. 1992. [25] R. L. Higdon, 'Absorbing boundary conditions for difference approximations to the multidimensional wave equation,' Math. Comput., vol. 47, pp. 437-457, 1986. [26] C. Vassallo, F. Collino, 'Highly efficient absorbing boundary conditions for the beam propagation method,' J. Lightwave Technol., vol. 14, pp. 1570-1577, 1996. [27] J.-P. Berenger, 'A perfectly matched layer for the absoprtion of electromagnetic waves,' J. Computational Phys., vol. 114, pp. 185-200, 1994. [28] R. Mittra, U. Peke1, 'A new look at the perfectly matched layer (PML) concept for the reflectionless absorption of electromagnetic waves,' IEEE Microwave and Guided Wave Lett., vol. 5, no. 3, pp. 84-86, Mar. 1995. [29] L. D. S. Alcantara, F. L. Teixeira, A. C. Cesar, B.-H. V. Borges, 'A new full-vectorial FD-BPM scheme: application to the analysis of magnetooptic and nonlinear saturable media,' J. Lightwave Technol., vol. 23, no. 8, pp. 2579-2585, Aug. 2005. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/42761 | - |
| dc.description.abstract | 本論文提出操控光束傳播法之參考折射率的新方法。此方法已成功應用於二、三維及準、全向量模擬。在準向量分析中我們使用區域參考折射率，並使用修改之廣角改良來增進可用性。在三維全向量非等向光束傳播法中，我們使用根據極化變動之參考折射率，以允許使用較大的傳播格點並降低模擬長程元件時的計算量。
論文首先介紹區域參考折射率。欲在大部分區域有效提出快速變動之相位項，先估計出參考折射率之橫向分布。我們使用基於帕帝(Pade)逼近之廣角光束傳播法，並重新定義取得高階運算子的算法。在三維模擬中則使用交替方向隱式法來降低計算量，並只在單一方向使用區域參考折射率。誤差分析顯示在相同階數逼近下，使用區域參考折射率比傳統方法更準確，且可使用較低階逼近而獲得相當不錯的結果，而傳統方法往往需要使用較高階逼近以取得相近的準確度。 接下來，我們在全向量非等向光束傳播法使用根據極化變動之參考折射率。在不同極化方向使用其向對應之參考折射率。我們模擬週期性調變之鈮酸鋰中的極化轉換來驗證新方法。結果顯示當使用較大傳播格點時仍能正確模擬極化轉換的效果。 以上方法在計算過程中除了相位回復以外都和傳統光束傳播法相當接近。這些方法都相當容易實作，且可以輕易和現有之程式進行整合。 | zh_TW |
| dc.description.provenance | Made available in DSpace on 2021-06-15T01:22:20Z (GMT). No. of bitstreams: 1 ntu-98-R96941033-1.pdf: 1813736 bytes, checksum: c219b9206e71ce4849c21ed42e5e9682 (MD5) Previous issue date: 2009 | en |
| dc.description.tableofcontents | 1 Introduction 1
1.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Literature Survey . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.3 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.4 Chapter Outline . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2 Finite-Difference Beam Propagation Method 5 2.1 Characteristic Matrix for Guided Wave . . . . . . . . . . . . . . . . 5 2.2 Perfectly Matched Layers . . . . . . . . . . . . . . . . . . . . . . . 8 2.3 Basic Formulation of Beam Propagation Method . . . . . . . . . . . . . 9 2.4 Conventional Wide-Angle Improvement Based on Pade Approximants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.5 Wide-Angle Beam Propagation Method with Local Reference Indices Technique . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.6 Evaluation of Local Reference Indices . . . . . . . . . . . . . . . . 14 2.7 Basic Formulation of Full-Vectorial Anisotropic Beam Propagation Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.8 Full-Vectorial Anisotropic Beam Propagation Method Using Alternating Direction Implicit Scheme . . . . . . . . . . . . . . . . . . . . . . 17 2.9 Anisotropic Beam Propagation method using Polarization-Dependent Reference Index . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 3 Numerical Results 24 3.1 Error Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3.2 Two Separable Gaussian Beams . . . . . . . . . . . . . . . . . . . . 25 3.3 Cylindrical Wave . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3.4 Three Intersecting Gaussian Beams . . . . . . . . . . . . . . . . . . 28 3.5 Three Intersecting Gaussian Beams with Three-Dimensional ADI Scheme . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 3.6 Three Intersecting Waveguides with Three-Dimensional ADI Scheme . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 3.7 Polarization Converter . . . . . . . . . . . . . . . . . . . . . . . 32 4 Conclusion 52 Bibliography 54 | |
| dc.language.iso | en | |
| dc.subject | 極化轉換 | zh_TW |
| dc.subject | 光束傳播法 | zh_TW |
| dc.subject | 區域參考折射率 | zh_TW |
| dc.subject | 帕帝逼近 | zh_TW |
| dc.subject | 廣角 | zh_TW |
| dc.subject | 根據極化變動之參考折射率 | zh_TW |
| dc.subject | Pade approximants | en |
| dc.subject | polarization conversion | en |
| dc.subject | polarization-dependent reference indices | en |
| dc.subject | wide-angle | en |
| dc.subject | Beam propagation method | en |
| dc.subject | local reference indices | en |
| dc.title | 使用改良的參考折射率之波束傳播法 | zh_TW |
| dc.title | Beam Propagation Method with Improved Reference Indices | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 97-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 張宏鈞(Hung-Chun Chang),江衍偉(Yean-Woei Kiang),林晃巖(Hoang Yan Lin) | |
| dc.subject.keyword | 光束傳播法,區域參考折射率,帕帝逼近,廣角,根據極化變動之參考折射率,極化轉換, | zh_TW |
| dc.subject.keyword | Beam propagation method,local reference indices,Pade approximants,wide-angle,polarization-dependent reference indices,polarization conversion, | en |
| dc.relation.page | 58 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2009-07-24 | |
| dc.contributor.author-college | 電機資訊學院 | zh_TW |
| dc.contributor.author-dept | 光電工程學研究所 | zh_TW |
| 顯示於系所單位： | 光電工程學研究所 | |
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