以超穎校正器提升三片式庫克鏡組光學品質之研究

以作者查詢圖書館館藏

、以作者查詢臺灣博碩士

、以作者查詢全國書目

、勘誤回報

、線上人數：5

、訪客IP：3.147.73.35

姓名

沈聖杰(SHENG-JIE SHEN) 查詢紙本館藏

畢業系所

光電科學與工程學系

論文名稱

以超穎校正器提升三片式庫克鏡組光學品質之研究
(Use meta-corrector to optimize Cooke triplet optical performance)

相關論文

★ 從「紅葉」到「黑鷹」：台灣棒球醜聞的文化再現	★ 基於音頻訊號隱藏技術之聲波數位傳輸
★ 金屬鹵化鈣鈦礦塊材之光致發光及光致變色特性研究	★ 奈米壓印技術製作全介電幾何相位超穎表面
★ 混合式超穎介面於感光元件之應用	★ 以自製灰階曝光機製作各式微光學元件
★ 高效率低深寬比幾何相位超穎介面	★ 以雙面非等向性濕蝕刻製備單晶石英深穿孔
★ 奈米壓印技術製作全介電光學繞射元件	★ 全介電幾何相位超穎表面的設計、優化及簡化模型
★ 全介電幾何相位超穎表面的抗反射設計	★ 藉由散射強化輻射冷卻發電之研究
★ 以人工智慧模型修復超穎透鏡影像品質之研究	★ 基於波導共振之手鏡超穎介面之研究
★ 像素級超穎介面色彩路由器之設計與製作	★ 用於屏下螢幕顯示的相位共軛超穎表面設計

檔案

[Endnote RIS 格式]

[Bibtex 格式]

[相關文章]

[文章引用]

[完整記錄]

[館藏目錄]

[檢視]

[下載]

本電子論文使用權限為同意立即開放。
已達開放權限電子全文僅授權使用者為學術研究之目的，進行個人非營利性質之檢索、閱讀、列印。
請遵守中華民國著作權法之相關規定，切勿任意重製、散佈、改作、轉貼、播送，以免觸法。

摘要(中)

高級相機鏡頭通常由六個以上的鏡片組成，以消除鏡頭的像差，提高圖像品質。然而，這種笨重的鏡頭組合限制了相機鏡頭的小型化。在這篇論文中，我們提出了一種由超薄超穎校正器和 Cooke triplet組成的相機鏡頭系統。超穎校正器用於消除 Cooke triplet的球面像差。首先，我們使用商業軟體 ZEMAX 來計算超穎校正器的理想相位分佈。接下來，我們使用超穎校正器對 Cooke triplet的聚焦品質進行了數值分析。從光斑點列圖觀察，在加上超穎校正器後，Cooke triplet的光斑尺寸可以從49.02μm大幅縮小到0.428μm。此外，超穎校正器提高了 Cooke triplet的圖像品質。而在加上超穎校正器後，Cooke triplet的空間頻率提高許多且接近繞射極限，從以上分析可以發現超穎校正器可以消除大部分的球差。

摘要(英)

High-level camera lens usually consists of more than six lenses to eliminate the aberration of lenses and improve image quality. However, this heavy lens combination limits the miniaturization of the camera lens. In this work, we proposed a camera lens system which consists of an ultra-thin meta-corrector and Cooke triplet. The meta-corrector is used to eliminate the spherical aberration of the Cooke triplet. We used the commercial software ZEMAX to calculate the ideal phase distribution of the meta-corrector. We next numerically investigated the focusing quality of the Cooke triplet with a meta-corrector. The ray-tracing simulation shows that the focal spot size of the Cooke triplet can be significantly reduced from 49.02 μm to 0.428 μm after adding a meta-corrector. Moreover, the meta-corrector improved the image quality of the Cooke triplet. The spatial resolution of the Cooke triplet improved when a meta-corrector was added and is closed to diffraction limit

關鍵字(中)

★ 超穎校正器
★ 超穎透鏡
★ 庫克三透鏡

關鍵字(英)

論文目次

摘要............................................................................................................ ii
Abstract..................................................................................................... iii
致謝............................................................................................................iv
目錄.............................................................................................................v
表目錄..................................................................................................... viii
1-1 文獻回顧...........................................................................................1
1-2 研究目標...........................................................................................6
第 2 章基本理論......................................................................................8
2-1 光程差...............................................................................................8
2-2 單色像差.........................................................................................12
2-3 光斑點列圖(spot diagram) .............................................................13
2-4 Modulation Transfer Function(MTF) .............................................15
2-5 Fresnel lens 跟 Metalens.................................................................17
2-6 點擴散函數 Point spread function(PSF) ........................................18
2-7 光學系統頻率響應.........................................................................18
2-8 Airydisk..........................................................................................19
2-9 庫克三透鏡(Cooke triplet).............................................................19
vi
2-10 相位調製.......................................................................................20
2-11 Rayleigh sommerfeld diffraction ..................................................24
第 3 章庫克三透鏡與超穎校正器之設計.............................................28
3-1 binary 2............................................................................................28
3-2 模擬流程.........................................................................................28
3-3 ZEMAX 設計過程..........................................................................29
3-4 binary 2 相位設計...........................................................................32
3-5 評價函數(Merit function)...............................................................35
3-6 分析光斑點列圖(spot diagram) .....................................................35
3-7 ray fan..............................................................................................36
3-8 Huygens point spread function.....................................................37
3-9 調製傳遞函數比較.........................................................................39
3-10 Defocus..........................................................................................40
3-11 Longitudinal aberration................................................................41
3-12 Image amalysis............................................................................42
3-13 實驗驗證......................................................................................43
第 4 章斜向入射庫克三透鏡.................................................................45
4-1 光線追跡圖.....................................................................................45
vii
4-2 斜向入射庫克三透鏡光斑點列圖.................................................47
4-3 斜向入射之調製傳遞函數............................................................49
第 5 章結論.............................................................................................52
參考文獻...................................................................................................53

參考文獻

[1] G. Y. Liu, W. L. Hsu, J. W. Pan, and C. M. Wang, “Refractive and MetaOptics Hybrid System,” Journal of Lightwave Technology, vol. 39, no. 21, pp.
6880-6885, Nov 1, (2021).
[2] C. Y. Fan, C. P. Lin, and G. D. J. Su, “Ultrawide-angle and high-efficiency
metalens in hexagonal arrangement,” Scientific Reports, vol. 10, no. 1, Sep 24,
(2020).
[3] R. Sawant, D. Andren, R. J. Martins, S. Khadir, R. Verre, M. Kall, and P.
Genevet, “Aberration-corrected large-scale hybrid metalenses,” Optica, vol. 8,
no. 11, pp. 1405-1411, Nov 20, (2021).
[4] W. T. Chen, A. Y. Zhu, J. Sisler, Y. W. Huang, K. M. A. Yousef, E. Lee, C.
W. Qiu, and F. Capasso, “Broadband Achromatic Metasurface-Refractive
Optics,” Nano Letters, vol. 18, no. 12, pp. 7801-7808, Dec, (2018).
[5] B. Groever, W. T. Chen, and F. Capasso, “Meta-Lens Doublet in the Visible
Region,” Nano Letters, vol. 17, no. 8, pp. 4902-4907, Aug, (2017).
[6] Y. H. Guo, X. L. Ma, M. B. Pu, X. Li, Z. Y. Zhao, and X. G. Luo, “HighEfficiency and Wide-Angle Beam Steering Based on Catenary Optical Fields
in Ultrathinmetalens,” Advanced Optical Materials, vol. 6, no. 19, Oct 4,
(2018).
[7] F. Aieta, P. Genevet, M. A. Kats, N. F. Yu, R. Blanchard, Z. Gahurro, and F.
Capasso, “Aberration-Free Ultrathin Flat Lenses and Axicons at Telecom
Wavelengths Based on Plasmonic Metasurfaces,” Nano Letters, vol. 12, no. 9,
pp. 4932-4936, Sep, (2012).
[8] J. Sasian, “Formulae for the GEOmetrical propagation of a beam of light,”
54
Applied Optics, vol. 59, no. 22, pp. G24-G32, Aug 1, (2020).
[9] R. G. Gonzalez-Acuna, H. A. Chaparro-Romo, and J. C. Gutierrez-Vega,
“General formula to design a freefoRMSinglet free of spherical aberration and
astigmatism: reply,” Applied Optics, vol. 59, no. 11, pp. 3425-3426, Apr 10,
(2020).
[10] H. Choi, and J. Ryu, “Design of Wide Angle and Large Aperture Optical
System with Inner Focus for Compact System Camera Applications,” Applied
Sciences-Basel, vol. 10, no. 1, Jan, (2020).
[11] H. Choi, J. M. Ryu, and J. Y. Yeom, “Development of a Double-Gauss Lens
Based Setup for Optoacoustic Applications,” Sensors, vol. 17, no. 3, Mar,
(2017).
[12] S. M. Wang, P. C. Wu, V. C. Su, Y. C. Lai, C. H. Chu, J. W. Chen, S. H. Lu,
J. Chen, B. B. Xu, C. H. Kuan, T. Li, S. N. Zhu, and D. P. Tsai, “Broadband
achromatic optical metasurface devices,” Nature Communications, vol. 8, Aug
4, (2017).
[13] T. B. Andersen, “Accurate calculation of diffraction-limited encircled and
ensquared energy,” Applied Optics, vol. 54, no. 25, pp. 7525-7533, Sep 1,
(2015).
[14] N. F. Yu, and F. Capasso, “Flat optics with designer metasurfaces,” Nature
Materials, vol. 13, no. 2, pp. 139-150, Feb, (2014).
[15] ZEMAX Product content, http://www.ZEMAX.com..(2005)
[16] M. Khorasaninejad, W. T. Chen, R. C. Devlin, J. Oh, A. Y. Zhu, and F.
Capasso, “Metalenses at visible wavelengths: Diffraction-limited focusing and
subwavelength resolution imaging,” Science, vol. 352, no. 6290, pp. 1190-
1194, Jun 3, (2016).
55
[17] B. Groever, C. Roques-Carmes, S. J. Byrnes, and F. Capasso, “Substrate
aberration and correction for meta-lens imaging: an analytical approach,”
Applied Optics, vol. 57, no. 12, pp. 2973-2980, Apr 20, (2018).
[18] M. Khorasaninejad, Z. Shi, A. Y. Zhu, W. T. Chen, V. Sanjeev, A. Zaidi, and
F. Capasso, “Achromatic Metalens over 60 nm Bandwidth in the Visible and
Metalens with Reverse Chromatic Dispersion,” Nano Letters, vol. 17, no. 3,
pp. 1819-1824, Mar, (2017).
[19] F. Aieta, P. Genevet, M. Kats, and F. Capasso, “Aberrations of flat lenses and
aplanatic metasurfaces,” Optics Express, vol. 21, no. 25, pp. 31530-31539,
Dec 16, 2013.
[20] J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (Roberts & Company,
2005)..
[21] T. B. Andersen, “Accurate calculation of diffraction-limited encircled and
ensquared energy,” Applied Optics, vol. 54, no. 25, pp. 7525-7533, Sep 1,
(2015).
[22] X. L. Ma, R. H. Jin, S. Liang, and H. F. Zheng, “Ideal shape of Fresnel lens
for visible solar light concentration,” Optics Express, vol. 28, no. 12, pp.
18141-18149, Jun 8, (2020).
[23] C. Y. Huang, C. C. Chen, H. Y. Chou, and C. P. Chou, “Fabrication of Fresnel
lens by glass molding technique,” Optical Review, vol. 20, no. 2, pp. 202-204,
Mar, 2013.
[24] Lee, G.-Y., Sung, J., & Lee, B.. “Metasurface optics for imaging applications. ”
MRS Bulletin, 45(3), 202–209. (2020)
[25] G.Hollows,N.James, “Introfuction to Modulation Transfer Function”, https://w
ww.edmundoptics.com/knowledge-center/application-notes/optics/introductio
56
n-to-modulation-transfer-function/ (2010)
[26] G.Hollows,N.James, “Distortion ”, https://www.edmundoptics.com.tw/knowle
dge-center/application-notes/imaging/distortion/ (2010)

指導教授

王智明

審核日期

2023-2-1

推文