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  3. 電信工程學研究所
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/45599
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor張宏鈞
dc.contributor.authorYing-Shuo Paien
dc.contributor.author白英碩zh_TW
dc.date.accessioned2021-06-15T04:29:34Z-
dc.date.available2010-08-21
dc.date.copyright2009-08-21
dc.date.issued2009
dc.date.submitted2009-08-19
dc.identifier.citationBibliography
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dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/45599-
dc.description.abstractIn this research, the ‾nite-di®erence frequency- domain (FDFD) method is adopted
to analyze optical waveguides with di®erent cross-sections and related multi-mode
interference (MMI) devices. The perfectly matched layer (PML) is employed as the
absorbing boundary of the computing window in the FDFD solver. Several optical
waveguides including channel waveguides, rib waveguides, optical ‾bers, photonic
wires, and two kinds of low loss fabricated waveguides are analyzed. The concept
and phenomena of the MMI are introduced, and we utilize the modal propagation
analysis and the FDFD mode solver to analyze and design the MMI. The MMI
phenomena for di®erent input positions are also investigated. Finally, we try to
design simple MMI power splitter devices using the structure of a photonic wire and
a low loss etchless waveguide, respectively, and discuss the imaging length and the
coupling e±ciency versus the width of the multi-mode waveguide.
en
dc.description.provenanceMade available in DSpace on 2021-06-15T04:29:34Z (GMT). No. of bitstreams: 1
ntu-98-R96942080-1.pdf: 13620999 bytes, checksum: 94fc2da0a416f214313f4f631b324c13 (MD5)
Previous issue date: 2009
en
dc.description.tableofcontents1 Introduction 1
1.1 Numerical Schemes for the Analysis of Optical Waveguides . . . . . . 1
1.2 Optical Multi-Mode Interference Devices . . . . . . . . . . . . . . . . 2
1.3 Chapter Outline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
2 The Finite-Di®erence Frequency-Domain Method 5
2.1 Central Di®erence Scheme . . . . . . . . . . . . . . . . . . . . . . . . 5
2.2 Mode Solvers for 1-D Waveguide Problem . . . . . . . . . . . . . . . 6
2.2.1 The TE Polarized Wave . . . . . . . . . . . . . . . . . . . . . 6
2.2.2 The TM Polarized wave . . . . . . . . . . . . . . . . . . . . . 8
2.3 Formulae for Two-Dimensional Problems . . . . . . . . . . . . . . . . 9
2.4 FDFD Method with Perfectly Matched Layers . . . . . . . . . . . . . 12
2.5 Approximation method for the Dielectric Interfaces . . . . . . . . . . 16
2.5.1 Stair-Case Approximation . . . . . . . . . . . . . . . . . . . . 16
2.5.2 Index Average scheme . . . . . . . . . . . . . . . . . . . . . . 16
2.5.3 Proper Boundary Condition Matching . . . . . . . . . . . . . 17
3 Analysis of Two-Dimensional Optical Waveguides 25
3.1 Channel Waveguide . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
3.2 Optical Fiber . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
3.3 Rib Waveguides . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
3.4 Photonic Wire . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
3.5 Low Loss Silicon Photonic Wire . . . . . . . . . . . . . . . . . . . . . 30
i
4 Analyzing 3-D Multi-Mode Interference Optical Waveguide Sruc-
tures 58
4.1 Introduction to Multi-Mode Interference Based on Self-Imaging . . . 59
4.1.1 Self-Imaging Principle . . . . . . . . . . . . . . . . . . . . . . 59
4.1.2 Multi-mode waveguides . . . . . . . . . . . . . . . . . . . . . . 59
4.1.3 Modal Propagation Analysis . . . . . . . . . . . . . . . . . . . 60
4.1.4 Multi-Mode Interference . . . . . . . . . . . . . . . . . . . . . 62
4.2 Procedure of Analyzing Multi-Mode Interference for Channel Waveg-
uides . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
4.3 Numerical Results of Multi-Mode Interference for Silicon-on-Insulator
Photonic Wires . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
4.3.1 Photonic wire . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
4.3.2 Fabricated etchless photonic waveguide . . . . . . . . . . . . . 71
5 Conclusion 98
Bibliography 100
dc.language.isoen
dc.subject有限差分頻域法zh_TW
dc.subject多模干涉器件zh_TW
dc.subjectfinite difference frequency domainen
dc.subjectmultimode interferenceen
dc.title以有限差分頻域法分析光波導與多模干涉器件zh_TW
dc.titleAnalysis of Optical Waveguides and Multimode
Interference Devices Using the Finite-Difference
Frequency-Domain Method
en
dc.typeThesis
dc.date.schoolyear97-2
dc.description.degree碩士
dc.contributor.oralexamcommittee邱奕鵬,林恭如
dc.subject.keyword多模干涉器件,有限差分頻域法,zh_TW
dc.subject.keywordmultimode interference,finite difference frequency domain,en
dc.relation.page105
dc.rights.note有償授權
dc.date.accepted2009-08-20
dc.contributor.author-college電機資訊學院zh_TW
dc.contributor.author-dept電信工程學研究所zh_TW
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