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  1. NTU Theses and Dissertations Repository
  2. 電機資訊學院
  3. 光電工程學研究所
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/59124
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor邱奕鵬
dc.contributor.authorJia-Wei Changen
dc.contributor.author張家瑋zh_TW
dc.date.accessioned2021-06-16T09:16:23Z-
dc.date.available2017-07-24
dc.date.copyright2017-07-24
dc.date.issued2017
dc.date.submitted2017-07-14
dc.identifier.citation[1]R. W. Wood, “On a remarkable case of uneven distribution of light in a diffraction grating spectrum,” Philosophical Magazine Series 6, vol. 4, pp. 396-402, Jun. 1902
[2]A. H. a. A. A. Oliner, “A new theory of Wood’s anomalies on optical gratings,” Applied Optics, vol. 4, pp. 1275-1297, Oct. 1965.
[3]M. Neviere, “About the theory of optical grating coupler-waveguide systems,” Optics Communications, vol. 8, pp. 113-117, Jun. 1973.
[4]M. Neviere, “Systematic study of resonances of holographic thin film couplers,” Optics Communications, vol. 9, pp. 48-53, Sep. 1973.
[5]M. Gale, “Diffraction, beauty and commerce,” Physics World, pp. 24–29, Oct. 1989.
[6]S. S. Wang, “Theory and applications of guided-mode resonance filters,” Applied Optics, vol. 32, pp. 2606-2613, May 1993.
[7]S. S. Wang, “Guided-mode resonances in planar dielectric-layer diffraction gratings,” Journal of the Optical Society of America A-Optics Image Science and Vision, vol. 7, pp. 1470-1474, Aug. 1990.
[8]Graham T. Reed, Silicon Photonics, New York: Wiley, 2004.
[9]E. G. Loewen and E. Popov, Diffraction Gratings and Applications, NY: CRC Press, 1997.
[10]John D. Joannopoulos, Steve G. Johnson, Joshua N. Winn and Robert D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed, NJ: Princeton University Press, 2008.
[11]W. B. J. Zimmerman, Multiphysics Modeling With Finite Element Methods, NJ: World Scientific Publishing, 2006.
[12]Steven G. Johnson, “Coupling, scattering, and perturbation theory: semi-analytical analyses of photonic-crystal waveguides,” IEEE Transparent Optical Networks, vol. 1, pp. 103-109, Jun. 2003.
[13]A. W. Snyder and J. D. Love, Optical Waveguide Theory, London: Chapman and Hall, 1983.
[14]D. Shin, Resonance Properties of Periodic Waveguides and Their Applications, Ph.D. dissertation, the University of Texas at Arlington, pp. 1-15, 1999
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/59124-
dc.description.abstract本篇論文利用介質平板波導的電磁特性結合電磁理論,去估算出一維和二維光柵反射器的品質因子。不同以往藉由使用數值軟體來模擬光柵反射器的品質因子。在數值模擬的方法中,網格數越多對於結果的精確度就越高但相對的運算時間卻越長。另一方面介質平板波導邊界的電場受到介電質差異的擾動(perturbation)影響的特性,在分析光柵反射器的品質因子時扮演重要的角色。藉此建立理論估算方法,能節省數值模擬在進行全波模擬的耗時。
估算不同厚度的光柵反射器頻率響應的方法則為藉由結合時間的模態耦合理論(Temporal Coupled-Mode Theory, TCMT)和不同介質中穿透反射所產生的相位差來分析。接著利用全波模擬計算出光柵反射器的頻率響應,將理論估算與數值模擬運算出的結果相互驗證。結果說明理論分析方法運算精確且能省去數值模擬所需的大量時間。
zh_TW
dc.description.abstractIn this work, we estimate the quality factor of 1-D and 2-D grating reflectors with properties and theorem of the dielectric slab waveguide. Usually, we calculated the quality factor of grating reflectors with simulation software COMSOL Multiphysics. The more mesh quantities we used with numerical simulation, the higher accurate value of quality factor we gained. Also, it means spending much time. On the other hand, the scattered electric field due to perturbation of dielectric difference plays an important role in analyzing the quality factor of grating reflector. Ergo, we could establish a method of quick quality factor computing based on the theory.
We estimate the frequency response of grating reflectors with different waveguide's thickness based on the method which combines Temporal Coupled-Mode Theory and the phase difference causing by transmission and reflection. Then, we use the full-wave simulation to estimate the frequency response, validated the value we computing by the method of theory. As the results, this method could save lots of time causing by simulation and compute accurately.
en
dc.description.provenanceMade available in DSpace on 2021-06-16T09:16:23Z (GMT). No. of bitstreams: 1
ntu-106-R04941078-1.pdf: 2842014 bytes, checksum: 757ee8ad225db902d7f8058c6413cc1a (MD5)
Previous issue date: 2017
en
dc.description.tableofcontents口試委員會審定書 #
誌謝 I
中文摘要 II
ABSTRACT III
目錄 IV
圖目錄 V
第一章 簡介 1
1.1 光柵繞射現象 1
1.2 研究動機 3
第二章 基本原理 4
2.1 平板介質波導 4
2.2 光柵及波導模態共振 9
第三章 結構設計與調整 14
3.1 格林函數方法和光柵反射器品質因子分析 14
3.2 模態耦合理論分析光柵反射器 18
3.2.1 不同厚度對頻率響應的關係 27
3.3 一維光柵反射器模擬 36
3.3.1 不同光柵高度對品質因子的關係 37
3.3.2 不同占空比對品質因子的關係 43
3.3.3 不同折射率對品質因子的關係 57
3.4 二維光柵反射器模擬 61
3.4.1 不同光柵高度對品質因子的關係 62
3.4.2 不同占空比對品質因子的關係 66
3.4.3 不同折射率對品質因子的關係 78
第四章 結論 82
參考文獻 83
dc.language.isozh-TW
dc.subject介質平板波導zh_TW
dc.subject光柵反射器zh_TW
dc.subject品質因子zh_TW
dc.subject波導共振模態理論zh_TW
dc.subjectTemporal Coupled-Mode Theory (TCMT)en
dc.subjectgrating reflectoren
dc.subjectquality factoren
dc.subjectdielectric slab waveguideen
dc.title光柵反射器的品質因子之快速計算zh_TW
dc.titleQuick Computing for the Quality Factor of a Grating Reflectoren
dc.typeThesis
dc.date.schoolyear105-2
dc.description.degree碩士
dc.contributor.oralexamcommittee何旻真,葉文嵐
dc.subject.keyword光柵反射器,品質因子,波導共振模態理論,介質平板波導,zh_TW
dc.subject.keywordgrating reflector,quality factor,Temporal Coupled-Mode Theory (TCMT),dielectric slab waveguide,en
dc.relation.page83
dc.identifier.doi10.6342/NTU201701352
dc.rights.note有償授權
dc.date.accepted2017-07-14
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
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