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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/123456789/61738
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor邱奕鵬(Yih-Peng Chiou)
dc.contributor.authorChih-Chieh Changen
dc.contributor.author張智傑zh_TW
dc.date.accessioned2021-06-16T13:11:21Z-
dc.date.available2024-02-05
dc.date.copyright2021-02-23
dc.date.issued2021
dc.date.submitted2021-02-05
dc.identifier.citation[1]T. Levola and P. Laakkonen, “Replicated slanted gratings with a high refractive index material for in and outcoupling of light,” Optics express, vol. 15, no. 5, pp. 2067-2074, 2007.
[2]J. Lu, Q. Liu, and S. Huang, “Research on slanted trapezoidal surface relief grating,” SPIE Holography, Diffractive Optics, and Applications IX, 1118828, 2019.
[3]D. Taillaert, H. Chong, P. I. Borel, L. H. Frandsen, R. M. De La Rue, and R. Baets, “A compact two-dimensional grating coupler used as a polarization splitter,” IEEE Photonics Technology Letters, vol. 15, no. 9, pp. 1249-1251, 2003.
[4]X. Chen, C. Li, and H. K. Tsang, “Two dimensional silicon waveguide chirped grating couplers for vertical optical fibers,” Optics Communications, vol. 283, no. 10, pp. 2146-2149, 2010.
[5]L. Carroll, D. Gerace, I. Cristiani, S. Menezo, and L. C. Andreani, “Broad parameter optimization of polarization-diversity 2D grating couplers for silicon photonics,” Optics express, vol. 21, no. 18, pp. 21556-21568, 2013.
[6]W. Wu, T. Lin, T. Chu, and H. Zhang, “CMOS-compatible high efficiency polarization splitting grating coupler near 1310nm,” in Asia Communications and Photonics Conference: Optical Society of America, p. AS2F. 4, 2016.
[7]T. Watanabe, Y. Fedoryshyn, and J. Leuthold, “2-D grating couplers for vertical fiber coupling in two polarizations,” IEEE Photonics Journal, vol. 11, no. 4, pp. 1-9, 2019.
[8]P. Thomas and W. David, “Augmented reality: An application of heads-up display technology to manual manufacturing processes,” in Hawaii international conference on system sciences, pp. 659-669, 1992.
[9]Google. “Google glass.” https://www.google.com/glass/start/ .
[10]Microsoft. “Hololens.” https://www.microsoft.com/en-us/hololens
[11]Vuzix. https://www.vuzix.com/.
[12]B. C. Kress and W. J. Cummings, “Optical architecture of HoloLens mixed reality headset,” SPIE, Digital Optical Technologies 2017, vol. 10335, p. 103350K, 2017.
[13]B. C. Kress, “Optical waveguide combiners for AR headsets: features and limitations,” SPIE, Digital Optical Technologies 2019, vol. 11062, p. 110620J, 2019.
[14]K. Guttag. https://kguttag.com/2018/09/26/magic-leap-review-part-1-the-terrible-view-through-diffraction-gratings/.
[15]W. C. Davidon, “Variable metric method for minimization,” SIAM Journal on Optimization, vol. 1, no. 1, pp. 1-17, 1991.
[16]E. K. P. Chong and S. H. Żak, An Introduction to Optimization, 3rd ed. Hoboken, N.J: Wiley-Interscience, 2008.
[17]C. G. Broyden, “The convergence of a class of double-rank minimization algorithms 1. general considerations,” IMA Journal of Applied Mathematics, vol. 6, no. 1, pp. 76-90, 1970.
[18]R. Fletcher, “A new approach to variable metric algorithms,” The Computer Journal, vol. 13, no. 3, pp. 317-322, 1970.
[19]D. Goldfarb, “A family of variable-metric methods derived by variational means,” Mathematics of Computation, vol. 24, no. 109, pp. 23-26, 1970.
[20] D. F. Shanno, “Conditioning of quasi-newton methods for function minimization,” Mathematics of Computation, vol. 24, no. 111, pp. 647-656, 1970.
[21] R. Fletcher and M. J. D. Powell, “A rapidly convergent descent method for minimization,” The Computer Journal, vol. 6, no. 2, pp. 163-168, 1963.
[22] J. Sherman and W. J. Morrison, “Adjustment of an inverse matrix corresponding to a change in one element of a given matrix,” The Annals of Mathematical Statistics, vol. 21, no. 1, pp. 124-127, 1950.
[23]A. Taflove and S. C. Hagness, Computational Electrodynamics : The Finite-Difference Time-Domain Method, 3rd ed. Artech House, 2005.
[24]O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method, 5th ed. Butterworth-Heinemann, 2000.
[25]Y. Kane, “Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media,” IEEE Transactions on Antennas and Propagation, vol. 14, no. 3, pp. 302-307, 1966.
[26]S. Li, C. Zhou, and W. Jia, “Simplified modal method for slanted grating,” Optics Communications, vol. 383, pp. 182-185, 2017.
[27]喻聖哲(民109)。基於二維傾斜光柵的極化分光器之研究。國立臺灣大學光電工程研究所,台北市。
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/61738-
dc.description.abstract極化分光器是一種在光學系統中常使用的元件,其作用是將傳播的電磁波依照不同的偏振分離,其應用如: 光纖通訊多工分光、生化檢測以及光學顯微鏡等。近年來,隨著製程技術的進步,奈米等級的光電元件由於符合其輕薄短小的優點,逐漸成為趨勢。其中,次波長介電質光柵藉由優異的操縱光的能力,以及相對簡單的製程,因此受到大家的關注。這幾年,一維傾斜光柵被應用在擴增實境,在該領域上展現了極大的應用價值,特別是頭戴式顯示眼鏡商品問世後。
本研究利用數值模擬方法設計二維傾斜光柵,完成對單一波長擁有高耦合效率以及高消光比的垂直耦合極化分光器。其耦合效率可達70%以上,消光比30 dB以上。接著,再對兩種不同中心波長設計出高耦合效率的色彩極化分光器,可將兩個在不同垂直極化的不同波長分別轉成繞射的TE-1,0 和TE0,-1 階的穿透繞射。兩種波長耦合效率,在最佳化結構皆可高達90%,我們並考慮製程容易性,設計出效率也不錯的波長分光器。
zh_TW
dc.description.abstractPolarization beam splitters are frequently used in optical systems. They can split propagating electromagnetic waves according to their polarizations. Their applications include wavelength division multiplexing (WDM) in optical communications, bio-chemical testing, optical microscopy, etc. With the rapid advancement of semiconductor process technology, nano-level optoelectronic devices become more popular due to their advantages of slimness and light-weigth. Among them, sub-wavelength dielectric gratings are attractive due to their excellent light-manipulating capability and relatively simple manufacturing. Recently, one-dimensional slanted gratings are adopted in augmented reality (AR), which shows their superior value, especially with the introduction of commercially available head-mounted display goggles.
In this research, we use numerical simulation to design polarization beam splitters with high efficiency and extinction ratio, based on two-dimensional slanted gratings. The coupling efficiency can be more than 70%, the extinction ratio can be higher than 30 dB. Thereafter, we design high efficiency chromatic splitter based the 2D slanted gratings, which convert two central wavelengths of two polarizations into two directions, i.e., TE-1,0 and TE0,-1, transmitted diffractions, respectively. The coupling efficiency can be as high as 90% in optimized structures. We also design wavelength splitters with acceptable efficiency considering the easiness of process.
en
dc.description.provenanceMade available in DSpace on 2021-06-16T13:11:21Z (GMT). No. of bitstreams: 1
U0001-0302202114371200.pdf: 5216206 bytes, checksum: d91e7ab9a7053167df79bb00887847ba (MD5)
Previous issue date: 2021
en
dc.description.tableofcontents口試委員會審定書 i
誌謝 ii
中文摘要 iii
ABSTRACT iv
目錄 v
圖目錄 vii
表目錄 xi
第一章 緒論 1
1.1 文獻回顧 1
1.1.1 傾斜光柵研究 1
1.1.2 極化分光器 5
1.1.3 頭戴式顯示器簡介 10
1.2 研究動機 18
1.3 論文架構 19
第二章 基本原理與研究方法 20
2.1 光柵基本原理 20
2.2 擬牛頓法 22
2.3 電磁模擬軟體 25
第三章 光柵結構設計與優化 28
3.1 設計流程 28
3.2 二維二元光柵 29
3.2.1 入射角度模擬 33
3.2.2 光柵長度模擬 34
3.3 二維傾斜光柵 35
3.3.1 單一週期傾斜光柵 38
3.3.2 參數最佳化 46
3.4 色彩極化分光器 47
3.4.1 紅黃雙週期光柵 51
3.4.2 綠藍雙週期光柵 54
3.4.3 參數分析 56
第四章 結論 68
參考文獻 69
dc.language.isozh-TW
dc.subject色彩極化分光器zh_TW
dc.subject極化分光器zh_TW
dc.subject二維光柵zh_TW
dc.subject色彩極化分光器zh_TW
dc.subject極化分光器zh_TW
dc.subject二維光柵zh_TW
dc.subjectpolarization and color beam splitteren
dc.subjectpolarization beam splitteren
dc.subjectpolarization beam splitteren
dc.subjecttwo dimensional slanted gratingen
dc.subjectpolarization and color beam splitteren
dc.subjecttwo dimensional slanted gratingen
dc.title基於二維傾斜光柵的色彩極化分光器之設計zh_TW
dc.titlePolarization and Color Beam Splitter Based on 2D Slanted Gratingsen
dc.typeThesis
dc.date.schoolyear109-1
dc.description.degree碩士
dc.contributor.oralexamcommittee賴志賢(Chih-Hsien Lai),蕭惠心(Hui-Hsin Hsiao),李翔傑(HSIANG-CHIEH LEE)
dc.subject.keyword極化分光器,二維光柵,色彩極化分光器,zh_TW
dc.subject.keywordpolarization beam splitter,two dimensional slanted grating,polarization and color beam splitter,en
dc.relation.page70
dc.identifier.doi10.6342/NTU202100454
dc.rights.note有償授權
dc.date.accepted2021-02-05
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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