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姓名 黃正仁(Cheng-ren Huang)  查詢紙本館藏   畢業系所 光電科學與工程學系
論文名稱 以裸光纖激發球共振腔之共振譜研究
(Excitation of whispering gallery modes in a microsphere by an etch-eroded fiber coupler)
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摘要(中) 本論文提出自製之腐蝕光纖耦合器,並以之與微米小球共振腔作耦合,此系統可應用於光相位延遲、光訊號選取與全光開關等研究。本研究將解析由腐蝕光纖耦合進入微米小球共振腔的耳語廊模場(Whispering gallery mode)與腐蝕光纖中的導波場,藉相位匹配條件與模場重疊度來研究耦合效率與共振腔之品質因子。
實驗中由腐蝕光纖的穿透譜可找出共振腔之共振波長,並分析定義出各共振波長代表之耳語廊模場與品質因子,且歸納出光纖粗細與耦合效率正相關之關係。在實驗中最高耦合效率可達42.07%,高於其他腐蝕光纖最高30%之耦合,單就耦合效率而言,已有長足的突破。
摘要(英) Microsphere resonators have attracted a lot of interest in recent years, due to ultra high quality factor and small modal volume. Numerous methods for coupling energy into the whispering gallery modes of a microsphere have been demonstrated, however most of them are limited by either low coupling efficiency or mechanical instability. In this thesis, an etch-eroded fiber coupler was investigated, and better coupling efficiency and acceptable stability was obtained.
The orders of the WGMs and the quality factors can be determined by analyzing optical transmission spectra and fitting to the theoretical resonant wavelengths. Furthermore, it shows that the smaller the radius of the fiber; the higher the coupling efficiency. In this thesis, the highest coupling efficiency is obtained 42.07%, and the quality factor is ~ 25000.
關鍵字(中) ★ 耳語廊模場
★ 球共振腔
關鍵字(英) ★ whispering gallery modes
★ microsphere
論文目次 論文摘要 …………………………………………………………… Ⅰ
Abstract …………………………………………………………… Ⅱ
致謝 ………………………………………………………………… Ⅲ
目錄 ………………………………………………………………… Ⅳ
圖目錄 ……………………………………………………………… Ⅵ
表目錄 ……………………………………………………………… Ⅷ
第一章 序論 ……………………………………………………… 1
1-1 前言 ………………………………………………………… 1
1-2 耳語廊模場(Whispering Gallery Mode, WGM…………… 2
1-3 球形共振腔 ………………………………………………… 3
1-3-1 品質因子 ……………………………………………… 4
1-3-2 立體維度 ……………………………………………… 5
1-3-3 應用 …………………………………………………… 6
1-4 耦合方式 …………………………………………………… 9
1-4-1 稜鏡耦合器 ……………………………………………10
1-4-2 半塊材耦合器 …………………………………………11
1-4-3 錐狀光纖耦合器 ………………………………………12
1-4-4 腐蝕光纖耦合器 ………………………………………13
1-5 研究動機 ……………………………………………………14
第二章 理論 ……………………………………………………… 15
2-1 WGM模場 …………………………………………………… 15
2-2 光纖中的場 …………………………………………………20
2-3 相位匹配與模場重疊 ………………………………………22
2-4 本質品質因子與外部品質因子 ……………………………24
2-5 耦合因子 ……………………………………………………28
第三章 實驗與討論 ……………………………………………… 31
3-1 實驗製程 ……………………………………………………31
3-2 耦合模場量測 ………………………………………………33
3-3 穿透譜品質因子量測 ………………………………………44
3-4 穿透譜耦合效率量測 …………………………………… 47
第四章 結論與未來展望 ………………………………………… 49
4-1 結論 ……………………………………………………… 49
4-2 未來展望 ………………………………………………… 50
參考文獻 …………………………………………………………… 51
參考文獻 [1] J. W. Strutt, The Theory of Sound. New York: Dover, 1945. Lord Rayleigh.
[2] L. Rayleigh, “The problem of the whispering gallery” Phil. Mag., vol.20, pp.1001-1004 ,1910
[3] Andrey B. Matsko and V. S. Ilchenko, “Optical Resonators with Whispering-gallery Modes―Part I:Basics.” IEEE Journal of Selected Topics in Quantum Electronics, vol. 12, No. 1,2006.
[4] Roger George Jackson, Novel Sensors and Sensing, Chapter 2. Institute of Physics Pulishing, 2004
[5] Kerry J. Vahala, “Optical Microcavities”Nature vol.424, pp. 839-884, 2003
[6] C. G. B. Garrett, W. Kaiser, and W. L. Bond, “Stimulated emission into optical whispering gallery modes of spheres.” Phys. Rev. vol. 124, pp. 1807-1809, 1961.
[7] Na Chen, B. Yun, and Y. Cui, “Cladding mode resonances of etch-eroded fiber Bragg grating for ambient refractive index sensing”Appl. Phys. Lett. 88, 133902, 2006
[8] Ming Cai, G. Hunziker, and K. Vahala, “Fiber-Optic Add-Drop Device Based on a Silica Microsphere-Whispering Gallery Mode System” IEEE Photonics Technology Letters, vol. 11, No. 6, 1999
[9] A. Serpenguzel, S. Armold, G. Griffel, and J. A. Lock, “Enhanced coupling to microsphere resonances with optical fiber.” J. Opt. Soc. Amer. B, vol. 14, pp. 790-795, 1997.
[10] A. L. Huston, H. B. Lin, J. D. Eversole, and A. Campillo, “Effect of bubble formation on microdrolet cavity quality factors.” J. Opt. Soc. Amer. B, vol. 13, pp. 521-532, 1996.
[11] M. L. Gorodetsky and V. S. Ilchenko, “High-Q optical whispering gallery microresonators-precession approach for spherical mode analysis and emission patterns with prism couplers.” Opt. Commun., vol. 113, pp. 133-143, 1994.
[12] M. L. Gorodetsky and V. S. Ilchenko, “Optical microsphere resonators: optimal coupling to high-Q whispering gallery modes.” J. Opt. Soc. Amer. B, vol. 16, pp. 147-154, 1999.
[13] M. Haraguchi, M. Fukui, Y. Tamaki, et al, “Optical switching due to whispering gallery modes in dielectric microspheres coated by a Kerr material”, JOURNAL OF MICROSCOPY-OXFORD 210: 229-233 Part 3 JUN 2003
[14] J. M. Ward, D. G. O'Shea, B. J. Shortt, et al. “Heat-and-pull rig for fiber taper fabrication” Review of Scientific Instrucments, vol. 77, No. 7, 2006
[15] S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, “Ideality in a Fiber-Taper-Coupled Microresonator System for Application to Cavity Quantum Electrodynamics” Physical Review Letters, vol. 91, No. 4, 2003
[16] J.-P. Laine, B. E. Little, and H. A. Haus, “Etch-Eroded Fiber Coupler for Whispering-Gallery-Mode Excitation in High- Silica Microspheres” IEEE Photonics Technology Letters, vol. 11, No. 11, 1999
[17] O. Svelto, Principles of lasers. 3rd ed. Chapter 4, 1989
[18] Brent E. Little, J.-P. Laine, and Hermann A. Haus, “Analytic Theory of Coupling from Tapered Fibers and Half-Blocks into Microsphere Resonators” Journal of Lightwave Technology, vol. 17, No. 4, 1999
[19] http://metrology.hut.fi/courses/s108-j/Nano2.pdf
[20] Mani Hossein-Zadeh, and Kerry J. Vahala, “Fiber-taper coupling to Whispering-Gallery modes of fluidic resonators embedded in a liquid medium” Optics Express vol. 14, No. 22 ,2006
[21] Matthew Borselli, T. J. Johnson, and Oskar Painter, “Beyond the Rayleigh scattering limit in high-Q silicon microdisks: theory and experiment” Optics Express vol. 13, No.5 ,2005
[22] Amnon Tariv, and Pochi Yeh, “Optical waves in crystals” John Wiley & Sons, Inc, 1984
[23] http://www.corning.com
[24]Chen Yong-Zhi, “Excitation of fundamental whispering gallery modes in a microsphere by a half-block coupler” Department of Optics and Photonics, National Central University, master thesis, 2007.
指導教授 戴朝義(Chao-yi Tai) 審核日期 2007-7-21
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