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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/123456789/101277
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dc.contributor.advisor彭隆瀚zh_TW
dc.contributor.advisorLung-Han Pengen
dc.contributor.author石哲豪zh_TW
dc.contributor.authorJe-Hau Shren
dc.date.accessioned2026-01-13T16:11:19Z-
dc.date.available2026-01-14-
dc.date.copyright2026-01-13-
dc.date.issued2025-
dc.date.submitted2025-12-31-
dc.identifier.citation[1]Yihua Bai, Haoran Lv, Xin Fu, and Yuanjie Yang, “Vortex beam: generation and detection of orbital angular momentum,” Chinese Optics Letters, Vol. 20, 012601, 2022.
[2]V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikogosyan, “Handbook of Nonlinear Optical Crystals,” Springer, Ch. 3, 1999.
[3]Martin M. Fejer, G. A. Magel, Dieter H. Jundt, and Robert L. Byer, “Quasi-Phase-Matched Second Harmonic Generation: Tuning and Tolerances,” IEEE Journal of Quantum Electronics, Vol. 37, pp. 2631–2654 , 1992.
[4]J. P. Meyn and M. M. Fejer, “Tunable ultraviolet radiation by second-harmonic generation in periodically poled lithium tantalate,” Optics Letters, Vol. 22, pp. 1214–1216, 1997.
[5]Y. S. Kim and R. T. Smith, “Thermal expansion of lithium tantalate and lithium niobate single crystals,” Journal of Applied Physics, Vol. 40, pp. 4637–4641, 1969.
[6]蔡明順, “準二維非線性光子晶體結構產生雙波長長紅光雷射,” 國立臺灣大學光電工程學研究所碩士論文,” 2023.
[7]Charles S. Adams and Ifan G. Hughes, “Optics f2f: From Fourier to Fresnel,” Oxford University Press, Ch. 3, 2018.
[8]Eugene Hecht, “Optics,” Pearson, Ch. 7, 2017.
[9]P. K. Upputuri, N. K. Mohan and M. P. Kothiyal, “RGB Interferometry for Optical Metrology,” SPIE Press, Ch. 2, 2019.
[10]L. Allen, M. J. Padgett, and M. Babiker, “The Orbital Angular Momentum of Light,” Progress in Optics, Vol. 39, pp. 291–372, 1999.
[11]L. Allen, M. J. Padgett,,“The Poynting vector in Laguerre-Gaussian beams and the interpretation of their angular momentum density,” Optics Communications, Vol. 184, pp. 67–71, 2000.
[12]M. V. Berry and K. T. McDonald, “Exact and geometrical optics energy trajectories in twisted beams,” Journal of Optics A, Vol. 10 , 035005, 2008.
[13]M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen and J. P. Woerdman, “Astigmatic laser mode converters and transfer of orbital angular momentum,” Optics Communications, Vol. 96, pp. 123–132, 1993.
[14]Baida Lü, Ping Wu, “Analytical propagation equation of astigmatic Hermite–Gaussian beams through a 4×4 paraxial optical system and their symmetrizing transformation,” Optics & Laser Technology, Vol. 35, pp. 497–504, 2003.
[15]吕百达, “激光光学:光束描述、传输变换与光腔技术物理,” 高等教育出版社, 第四章, 2003.
[16]Carmelo Rosales-Guzmán and Andrew Forbes, “How to Shape Light with Spatial Light Modulators,” SPIE Press, 2017.
[17]H. A. Nam, M. G. Cohen, and J. W. Noé, “A simple method for creating a robust optical vortex beam with a single cylinder lens,” Journal of Optics, Vol. 13, 064026, 2011.
[18]D. Kumar, A. Das, and B. R. Boruah,“Note: A simple experimental arrangement to generate optical vortex beams,” Review of Scientific Instruments, Vol. 84, 026103, 2013.
[19]H. I. Sztul and R. R. Alfano, “Double-slit interference with Laguerre–Gaussian beams,” Optics Letters, Vol. 31, pp. 999–1001, 2006.
[20]韓志勇, “利用鎳擴散製程於週期性極化反轉鉭酸鋰垂直調制準相位匹配結構,” 國立臺灣大學光電工程學研究所碩士論文, 2018.
[21]V. Denisenko, V. Shvedov, A. S. Desyatnikov, D. N. Neshev, W. Krolikowski, A. Volyar, M. Soskin, and Y. S. Kivshar, “Determination of topological charges of polychromatic optical vortices,” Optics Express, Vol. 17, pp. 23374–23379, 2009.
[22]W. Koechner and M. Bass, “Solid-State Lasers: A Graduate Text”, Springe, Ch. 2, 2003.
[23]C. Y. Cho, X. C. Lin and J. H. Shr, “Exploring the influence of pump beam quality on designing millijoule diode-end-pumped passively Q-switched lasers,” Optics Express, Vol. 30, pp. 21952–21965, 2022.
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dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/101277-
dc.description.abstract本論文分成四個部分介紹:第一部分主要介紹相位匹配的概念;第二部分為干涉儀的架設與渦旋光的理論,在干涉儀的章節中會探討同調長度的影響與測量相位的方法,而在渦旋光的部分中將介紹其能量流方向與相位結構、渦旋光的生成方法並延伸到其特殊的干涉圖紋;第三部分為週期性極化鉭酸鋰晶體製程與結構設計,本研究中將會製作三種不同結構的晶體,探討其雷射本徵模態的變化;第四部份是利用並聯週期結構的非線性光子晶體生成HG模態與LG模態,並以干涉儀觀察其干涉圖紋。
在實驗中成功以並聯週期結構生成HG10與類HG20,並利用干涉的方法確認其相位的真實性。在渦旋光的生成中,利用一對柱狀鏡像散特性的π/2模態轉換特徵,產生出LG01,與不完美的LG02。同時也用干涉法,觀察到其LG模與平面波或球面波的叉狀與螺旋干涉圖紋。因此可以確定極化反轉所產生的折射率變化,會使得週期結構產生類似波導的現象,致使雷射模態與相位發生改變。
zh_TW
dc.description.abstractThis thesis is divided into four main sections. The first section introduces the fundamental concepts of phase matching. The second section discusses the construction of the interferometer and the theory of vortex beams. In this part, the influence of coherence length and the methods for phase measurement are examined, while the vortex-beam subsection introduces the energy-flow direction, phase structure, various generation methods, and their characteristic interference patterns. The third section presents the fabrication and structural design of periodically poled lithium tantalate (PPLT) crystals. In this work, three different nonlinear photonic crystal structures are fabricated to investigate the resulting variations in laser modes. The fourth section focuses on generating the HG and LG modes using nonlinear photonic crystals configured in a parallel periodic structure, and the corresponding interference patterns are analyzed using an interferometer.
In the experiments, HG₁₀ and HG₂₀-like modes were successfully generated using a parallel periodic structure, and their phase authenticity was verified through interferometric measurements. For vortex-beam generation, a π/2 mode converter based on the astigmatic properties of a pair of cylindrical lenses was employed to produce LG₀₁ and an imperfect LG₀₂ mode. Interference measurements also revealed the characteristic forked and spiral fringe patterns. These results confirm that the refractive-index variations induced by periodic poling can create a waveguide-like effect within the structure, which leads to changes in both the laser modes and their phase distributions.
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dc.description.provenanceMade available in DSpace on 2026-01-13T16:11:19Z (GMT). No. of bitstreams: 0en
dc.description.tableofcontents口試委員會審定書 i
摘要 ii
Abstract iii
目次 iv
圖次 vii
表次 xii
第一章 緒論 1
1.1研究動機與目的 1
第二章 相位匹配 3
2.1雙折射相位匹配 3
2.2 準相位匹配 6
第三章 干涉儀架設與測量方法 9
3.1邁克生干涉儀與馬赫-曾德爾干涉儀 9
3.2四步移相干涉 11
第四章 渦旋光理論 14
4.1 渦旋光坡印廷向量與其相位 14
4.2 π/2 模態轉換 16
4.3 渦旋光產生與其干涉 21
第五章 樣品製程與設計 31
5.1樣品製程步驟 31
5.2樣品結構設計 33
第六章 PPLT 渦旋光生成 35
6.1並聯週期12.738 μm空隙24 μm PPLT 35
6.2不同空隙的並聯結構聯級 PPLT 41
6.3 PPLT 生成類HG20、 LG02與其干涉 44
第七章 結論與未來展望 47
7.1結論 47
7.2未來展望 48
附錄 51
A.1 被動式Q-switch架設與紅橘光產生 51
A.1.1 被動式Q-switch材料選擇 51
A.1.2被動式Q-switch理論 54
A.1.3被動式Q-switch架設 54
A.1.4 利用PPLT晶體搭配腔外OPO使紅橘光產生 56
B.1 Matlab程式碼 58
B.1.1 渦旋光Poynting vector 58
B.1.2 4 4 ABCD矩陣程式(π/2模態轉換) 59
B.1.3自動偵測干涉移相程式 64
B.1.4 SLM全像程式(HGmn) 72
B.1.5 SLM全像程式(LGpƖ) 74
B.1.6 HG10與HG10干涉 76
B.1.7 HG10與LG01干涉 79
參考文獻 83
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dc.language.isozh_TW-
dc.subject渦旋光-
dc.subject週期性極化鉭酸鋰-
dc.subject干涉-
dc.subject準相位匹配-
dc.subjectπ/2模態轉換-
dc.subjectvortex beam-
dc.subjectPPLT-
dc.subjectinterference-
dc.subjectQPM-
dc.subjectπ/2 mode converter-
dc.title並聯非線性光子晶體之光學軌道角動量光源研究zh_TW
dc.titleStudy of Optical Beam Generation with Orbital Angular Momentum from Parallel Nonlinear Photonic Crystal Structureen
dc.typeThesis-
dc.date.schoolyear114-1-
dc.description.degree碩士-
dc.contributor.oralexamcommittee卓俊佑;賴聰賢;蔡宛卲zh_TW
dc.contributor.oralexamcommitteeChun-Yu Cho;Tsong-Sheng Lay;Wan-Shao Tsaien
dc.subject.keyword渦旋光,週期性極化鉭酸鋰干涉準相位匹配π/2模態轉換zh_TW
dc.subject.keywordvortex beam,PPLTinterferenceQPMπ/2 mode converteren
dc.relation.page85-
dc.identifier.doi10.6342/NTU202504873-
dc.rights.note同意授權(全球公開)-
dc.date.accepted2025-12-31-
dc.contributor.author-college電機資訊學院-
dc.contributor.author-dept光電工程學研究所-
dc.date.embargo-lift2026-01-14-
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