Skip navigation

DSpace

機構典藏 DSpace 系統致力於保存各式數位資料(如:文字、圖片、PDF)並使其易於取用。

點此認識 DSpace
DSpace logo
English
中文
  • 瀏覽論文
    • 校院系所
    • 出版年
    • 作者
    • 標題
    • 關鍵字
    • 指導教授
  • 搜尋 TDR
  • 授權 Q&A
    • 我的頁面
    • 接受 E-mail 通知
    • 編輯個人資料
  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/123456789/101531
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor蘇國棟zh_TW
dc.contributor.advisorGuo-Dung Suen
dc.contributor.author王崇安zh_TW
dc.contributor.authorChung-An Wangen
dc.date.accessioned2026-02-11T16:08:00Z-
dc.date.available2026-02-12-
dc.date.copyright2026-02-11-
dc.date.issued2026-
dc.date.submitted2026-01-30-
dc.identifier.citation[1] A. Einstein, B. Podolsky, and N. Rosen, “Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?,” Physical Review, vol. 47, no. 10, pp. 777-780, 1935.
[2] D. Bohm, “A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I,” Physical Review, vol. 85, no. 2, pp. 166-179, 1952.
[3] J. S. Bell, “On the Einstein Podolsky Rosen paradox,” Physics Physique Fizika, vol. 1, no. 3, pp. 195-200, 1964.
[4] S. J. Freedman, and J. F. Clauser, “Experimental Test of Local Hidden-Variable Theories,” Physical Review Letters, vol. 28, no. 14, pp. 938-941, 1972.
[5] A. Aspect, J. Dalibard, and G. Roger, “Experimental Test of Bell's Inequalities Using Time- Varying Analyzers,” Physical Review Letters, vol. 49, no. 25, pp. 1804-1807, 1982.
[6] G. Weihs, T. Jennewein, C. Simon et al., “Violation of Bell's Inequality under Strict Einstein Locality Conditions,” Physical Review Letters, vol. 81, no. 23, pp. 5039-5043, 1998.
[7] N. Zou, “Quantum Entanglement and Its Application in Quantum Communication,” Journal of Physics: Conference Series, vol. 1827, no. 1, 2021.
[8] G. J. Mooney, C. D. Hill, and L. C. L. Hollenberg, “Entanglement in a 20-Qubit Superconducting Quantum Computer,” Sci Rep, vol. 9, no. 1, pp. 13465, Sep 17, 2019.
[9] M. Barbieri, “Optical Quantum Metrology,” PRX Quantum, vol. 3, no. 1, 2022.
[10] J. Zhou, S. Liu, H. Qian et al., “Metasurface enabled quantum edge detection,” Sci Adv, vol. 6, no. 51, Dec, 2020.
[11] H. Wang, Q. Zeng, H. Ma et al., “Progress on Chip-Based Spontaneous Four-Wave Mixing Quantum Light Sources,” Advanced Devices & Instrumentation, vol. 5, 2024.
[12] C. Couteau, “Spontaneous parametric down-conversion,” Contemporary Physics, vol. 59, no. 3, pp. 291-304, 2018.
[13] P. G. Kwiat, K. Mattle, H. Weinfurter et al., “New high-intensity source of polarization-entangled photon pairs,” Phys Rev Lett, vol. 75, no. 24, pp. 4337-4341, Dec 11, 1995.
[14] S. Francesconi, A. Raymond, R. Duhamel et al., “On-chip generation of hybrid polarization-frequency entangled biphoton states,” Photonics Research, vol. 11, no. 2, 2023.
[15] S. Tanzilli, W. Tittel, H. De Riedmatten et al., “PPLN waveguide for quantum communication,” The European Physical Journal D - Atomic, Molecular and Optical Physics, vol. 18, no. 2, pp. 155-160, 2002.
[16] R. W. Boyd, Nonlinear Optics, 4 ed.: Elsevier Inc., 2020.
[17] A. Mataji-Kojouri, and M. Liscidini, “Narrow-band photon pair generation through cavity-enhanced spontaneous parametric down-conversion,” Physical Review A, vol. 108, no. 5, 2023.
[18] N. Chen, Z. Wang, J. Wu et al., “Pushing photon-pair generation rate in microresonators by Q factor manipulation,” Opt Lett, vol. 48, no. 20, pp. 5355-5358, Oct 15, 2023.
[19] A. S. Solntsev, G. S. Agarwal, and Y. S. Kivshar, “Metasurfaces for quantum photonics,” Nature Photonics, vol. 15, no. 5, pp. 327-336, 2021.
[20] T. Santiago-Cruz, S. D. Gennaro, O. Mitrofanov et al., “Resonant metasurfaces for generating complex quantum states,” Science, vol. 377, no. 6609, pp. 991-995, Aug 26, 2022.
[21] J. Zhang, J. Ma, M. Parry et al., “Spatially entangled photon pairs from lithium niobate nonlocal metasurfaces,” Sci Adv, vol. 8, no. 30, pp. eabq4240, Jul 29, 2022.
[22] H. T. Chen, A. J. Taylor, and N. Yu, “A review of metasurfaces: physics and applications,” Rep Prog Phys, vol. 79, no. 7, pp. 076401, Jul, 2016.
[23] G. Quaranta, G. Basset, O. J. F. Martin et al., “Recent Advances in Resonant Waveguide Gratings,” Laser & Photonics Reviews, vol. 12, no. 9, 2018.
[24] B. K. Bhowmik, T. Bhowmik, P. K. Pandey et al., “All-dielectric metasurface based ultranarrow bandpass filter in optical C-band,” Journal of the Optical Society of America B, vol. 40, no. 5, 2023.
[25] V. E. Babicheva, and A. B. Evlyukhin, “Mie-resonant metaphotonics,” Advances in Optics and Photonics, vol. 16, no. 3, 2024.
[26] T. Santiago-Cruz, A. Fedotova, V. Sultanov et al., “Photon Pairs from Resonant Metasurfaces,” Nano Lett, vol. 21, no. 10, pp. 4423-4429, May 26, 2021.
[27] C. Son, V. Sultanov, T. Santiago-Cruz et al., “Photon pairs bi-directionally emitted from a resonant metasurface,” Nanoscale, vol. 15, no. 6, pp. 2567-2572, Feb 9, 2023.
[28] S. Liu, L. Li, Y. Wang et al., “Multiuser all-optical quantum network based on metasurfaces,” Sci Adv, vol. 11, no. 41, pp. eadu8455, Oct 10, 2025.
[29] A. Fedotova, L. Carletti, A. Zilli et al., “Lithium Niobate Meta-Optics,” ACS Photonics, vol. 9, no. 12, pp. 3745-3763, 2022.
[30] D. J. Griffiths, Introduction to Electrodynamics, 4 ed., Upper Saddle River, NJ: Pearson, 2012.
[31] J. Yao, Y. Wang, and SpringerLink, Nonlinear optics and solid-state lasers advanced concepts, tuning-fundamentals and applications / by Jianquan Yao, Yuyue Wang, Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.
[32] U. Arregui Leon, L. Carletti, D. Rocco et al., “THz Generation via Optical Rectification in Nanomaterials: Universal Modeling Approach and Effective χ¯¯(2)$\bar{\bar{\chi }}^{(2)}$ Description,” Laser & Photonics Reviews, vol. 18, no. 2, 2023.
[33] C. Okoth, A. Cavanna, T. Santiago-Cruz et al., “Microscale Generation of Entangled Photons without Momentum Conservation,” Phys Rev Lett, vol. 123, no. 26, pp. 263602, Dec 31, 2019.
[34] S. Karan, S. Aarav, H. Bharadhwaj et al., “Phase matching inβ-barium borate crystals for spontaneous parametric down-conversion,” Journal of Optics, vol. 22, no. 8, 2020.
[35] L. G. Helt, M. Liscidini, and J. E. Sipe, “How does it scale? Comparing quantum and classical nonlinear optical processes in integrated devices,” Journal of the Optical Society of America B, vol. 29, no. 8, 2012.
[36] M. Liscidini, and J. E. Sipe, “Stimulated emission tomography,” Phys Rev Lett, vol. 111, no. 19, pp. 193602, Nov 8, 2013.
[37] L. G. Helt, and M. J. Steel, “Effect of scattering loss on connections between classical and quantum processes in second-order nonlinear waveguides,” Opt Lett, vol. 40, no. 7, pp. 1460-3, Apr 1, 2015.
[38] F. Lenzini, A. N. Poddubny, J. Titchener et al., “Direct characterization of a nonlinear photonic circuit's wave function with laser light,” Light Sci Appl, vol. 7, pp. 17143, 2018.
[39] G. Marino, A. S. Solntsev, L. Xu et al., “Spontaneous photon-pair generation from a dielectric nanoantenna,” Optica, vol. 6, no. 11, pp. 1416-1422, Nov 20, 2019.
[40] M. Parry, A. Mazzanti, A. Poddubny et al., “Enhanced generation of nondegenerate photon pairs in nonlinear metasurfaces,” Advanced Photonics, vol. 3, no. 05, 2021.
[41] A. Boes, L. Chang, C. Langrock et al., “Lithium niobate photonics: Unlocking the electromagnetic spectrum,” Science, vol. 379, no. 6627, pp. eabj4396, Jan 6, 2023.
[42] M. J. Weber, Handbook of Optical Materials, 1 ed.: CRC Press., 2018.
[43] D. S. Smith, H. D. Riccius, and R. P. Edwin, “Refractive indices of lithium niobate,” Optics Communications, vol. 17, no. 3, pp. 332-335, 1976.
[44] "RCWA Solver," https://optics.ansys.com/hc/en-us/articles/12959229278611-RCWA-Solver-Simulation-Object.
[45] C. W. Hsu, B. Zhen, A. D. Stone et al., “Bound states in the continuum,” Nature Reviews Materials, vol. 1, no. 9, 2016.
[46] F. Pan, P. Bordoloi, C. Y. Chen et al., “Resonant metasurface-enabled quantum light sources for single-photon emission and entangled photon-pair generation,” Nanophotonics, vol. 14, no. 23, pp. 3861-3870, Nov, 2025.
-
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/101531-
dc.description.abstract隨著科技的發展,量子相關應用包含量子運算、量子通訊與量子感測等相關應用已逐漸成形。而糾纏量子光源作為驅動上述應用的核心基礎,扮演不可或缺的角色。然而,目前量子光源的體積與尺度仍相對龐大,限制後續的微型化整合與實際應用。若僅對光源進行等比例縮小,其糾纏光子之強度也會大幅縮小到難以滿足使用需求。因此,本研究提出以超穎表面結合非線性晶體之架構,藉由增強局域電場,來提高自發性參數下轉換的效率並提升糾纏光子對產生率。
本研究設計之超穎表面乃基於共振光柵波導的原理,在鈮酸鋰薄膜中形成共振波導模態,以顯著放大局部電場強度。此研究也探討了縮小非線性交互作用之距離下,對非線性效應以及相位匹配條件的影響。此研究採用量子–古典對應分析並使用數值模擬,以計算出糾纏光子之生成效率與空間分布。模擬之結果顯示,超穎表面相較於未加結構之鈮酸鋰薄膜,可大幅提升糾纏光子的生成效率,為後續量子光源微型化與相關應用提供新的可能性。
此外,本研究亦透過硼酸鋇晶體產生並使用單光子偵測器量測糾纏光子對,來探討實際實驗架構對量測光子對結果的影響。實驗之結果除了驗證了糾纏光子的存在、計算整體系統的偵測效率,也分析了準直誤差對實驗結果之影響,為未來量測超穎表面奠定基礎。
zh_TW
dc.description.abstractWith the rapid development of quantum technology, quantum-related applications—including quantum computing, quantum communication, and quantum sensing—have begun to take shape. Entangled-photon sources serve as a fundamental driving element for these applications and therefore play an indispensable role. However, current quantum light sources remain relatively bulky in size, posing challenges for device miniaturization, system-level integration, and practical deployment. Simply scaling down the device dimensions leads to a significant reduction in the brightness of entangled photon pairs, making them difficult to use in realistic scenarios. To address this limitation, this work proposes an integrated architecture that combines a metasurface with a nonlinear crystal to enhance the local electromagnetic field, thereby improving the efficiency of spontaneous parametric down-conversion and increasing the generation rate of entangled photon pairs.
The metasurface designed in this study is based on the principle of a resonant waveguide gratings, which excites resonant waveguide modes in a thin-film lithium niobate platform and significantly enhances the local electric field. In addition, we investigate the effects of reducing the nonlinear interaction length on both the nonlinear response and phase-matching conditions. The proposed metasurface design is analyzed using quantum–classical correspondence theory and numerical simulations to evaluate the generation efficiency and spatial modes of entangled photon pairs. Simulation results demonstrate that, compared with an unpatterned lithium-niobate thin film, the metasurface structure can substantially enhance the generation efficiency of entangled photons, offering new possibilities for the miniaturization of quantum light sources and their associated applications.
Furthermore, this work experimentally generates and characterizes photon pairs using a β-barium borate crystal together with single-photon detectors, in order to examine how practical measurement configurations affect the characterization of entangled photons. The experimental results not only verify the generation of entangled photon pairs and estimate the overall system detection efficiency, but also analyze the impact of collimation errors on the measurements. These findings establish a foundation for future characterization of metasurface-based quantum sources.
en
dc.description.provenanceSubmitted by admin ntu (admin@lib.ntu.edu.tw) on 2026-02-11T16:08:00Z
No. of bitstreams: 0
en
dc.description.provenanceMade available in DSpace on 2026-02-11T16:08:00Z (GMT). No. of bitstreams: 0en
dc.description.tableofcontents誌謝 i
中文摘要 ii
Abstract iii
目次 v
圖次 vii
表次 xi
Chapter 1. Introduction 1
1.1 Quantum Entanglement 1
1.2 Entangle Photons Sources 3
1.3 Metasurface 6
Chapter 2. Nonlinear Optics 10
2.1 Maxwell’s Equations 10
2.2 Nonlinear Polarization in Materials 13
2.3 Second-order Nonlinear Processes 15
2.4 Second-order Susceptibility 19
2.5 Classical χ2 processes: Sum-frequency Generation 22
2.6 Phase-matching Effects 26
2.7 Quantum χ2 Processes: Spontaneous Parametric Down-conversion 30
2.8 Quantum-classical Correspondence 34
Chapter 3. Design of Resonance Metasurface 37
3.1 Optical Properties of LiNbO3 37
3.2 Resonance Waveguide Gratings 39
3.3 LiNbO3 Resonance Waveguide Gratings Metasurface 41
3.4 Simulation Setup 44
Chapter 4. Simulation Results and Discussion 48
4.1 Linear Response of Metasurface 48
4.2 Nonlinear Response of Metasurface 53
Chapter 5. Entangled Photon Pairs Measurement and Future Works 55
5.1 Measurement of Entangled Photon Sources by β-Barium Borate Crystal 55
5.2 Measurement Setup 57
5.3 Results and Discussion 59
5.4 Future Works 64
Chapter 6. Conclusions 67
6.1 Conclusions 67
References 69
-
dc.language.isoen-
dc.subject量子光學-
dc.subject超穎表面-
dc.subject糾纏光子-
dc.subject非線性光學-
dc.subject自發性參數下轉換-
dc.subject鈮酸鋰薄膜-
dc.subject量子–古典對應-
dc.subjectquantum optics-
dc.subjectnonlinear optics-
dc.subjectmetasurface-
dc.subjectspontaneous parametric down-conversion-
dc.subjectentangled photons-
dc.subjectlithium-niobate thin film-
dc.subjectquantum–classical correspondence-
dc.title透過超穎共振結構設計糾纏量子光源zh_TW
dc.titleDesign of Entangled Photon Sources by Resonance Metasurfaceen
dc.typeThesis-
dc.date.schoolyear114-1-
dc.description.degree碩士-
dc.contributor.oralexamcommittee陳泳帆;蕭惠心zh_TW
dc.contributor.oralexamcommitteeYong-Fan Chen;Hui-Hsin Hsiaoen
dc.subject.keyword量子光學,超穎表面糾纏光子非線性光學自發性參數下轉換鈮酸鋰薄膜量子–古典對應zh_TW
dc.subject.keywordquantum optics,nonlinear opticsmetasurfacespontaneous parametric down-conversionentangled photonslithium-niobate thin filmquantum–classical correspondenceen
dc.relation.page72-
dc.identifier.doi10.6342/NTU202600301-
dc.rights.note未授權-
dc.date.accepted2026-02-02-
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-liftN/A-
顯示於系所單位:光電工程學研究所

文件中的檔案:
檔案 大小格式 
ntu-114-1.pdf
  未授權公開取用
2.43 MBAdobe PDF
顯示文件簡單紀錄


系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。

社群連結
聯絡資訊
10617臺北市大安區羅斯福路四段1號
No.1 Sec.4, Roosevelt Rd., Taipei, Taiwan, R.O.C. 106
Tel: (02)33662353
Email: ntuetds@ntu.edu.tw
意見箱
相關連結
館藏目錄
國內圖書館整合查詢 MetaCat
臺大學術典藏 NTU Scholars
臺大圖書館數位典藏館
本站聲明
© NTU Library All Rights Reserved