| 研究生: |
吳肇元 Chao-Yuan Wu |
|---|---|
| 論文名稱: |
動態干涉儀量測薄膜之光學常數 Measurement of optical thin film constants using dynamic interferometer |
| 指導教授: |
陳昇暉
Sheng-Hui Chen 李正中 Cheng-Chung Lee |
| 口試委員: | |
| 學位類別: |
碩士 Master |
| 系所名稱: |
理學院 - 光電科學與工程學系 Department of Optics and Photonics |
| 畢業學年度: | 97 |
| 語文別: | 中文 |
| 論文頁數: | 79 |
| 中文關鍵詞: | 薄膜光學常數 、光學導納 、偏極相移干涉儀 、即時相位量測 |
| 外文關鍵詞: | optical constants, Thin film, dynamic interferometer, optical admittance |
| 相關次數: | 點閱:9 下載:0 |
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本文提出一套以Twyman-Green干涉儀為架構的偏極相移干涉儀,用以量測薄膜的光學導納值,並且由公式推導可直接求得單層膜的折射率(Refractive Index)與厚度(Thickness),而在多層膜的情況下,則需要利用數值方法擬合(fitting)出各層薄膜的折射率以及厚度。
量測系統採用的低同調的光源為涵蓋可見光範圍多波長的白光鹵素燈,外加上窄帶濾光片構成高斯光譜密度的光源,而消色差相移法的使用,使本實驗的架構可以對不同波長進行量測。
本研究使用具四個偏極態的偏極陣列在CCD鏡頭前,在偏極相移干涉儀中可同時取出四步相移的值,帶入電腦運算即時求解得到相位,速度快且減少環境擾動造成的誤差。最後將量測得到的折射率與厚度結果與SOPRA橢偏儀進行比較,量測結果相當精確。
In this thesis, we proposed a polarize phase shifting interferometer based on Twyman-Green interferometer structure which is used to measure the thin film optical admittance, and the refractive index and thickness of single layer thin film can be derived directly; moreover, the refractive index and thickness of multilayer thin film can be solved by numerical fitting method.
In our arrangement, the low coherence light source is composed of a halogen lamp, which is a polychromatic light source and covering the visible spectral range, and a choosable narrow band pass filter, which is used to create a Gaussian power spectral density source, and achromatic phase shifter are need to this multi-wavelength measurement.
As a polarization interferometer, a novel pixelated mask with a micro-polarizer phase shifting array are placed just prior to the CCD, so that we can use single interferogram to extract phase information and that’s effective in reducing environmental vibration.
The measurement results were compared with the results obtained by ellipsometer. The results meet reasonable values in both refractive index and thickness.
參考文獻
[1] 蕭家鼎, “以模擬退火法推算薄膜之光學常數”,國立中央大學光電科學研究所碩士班論文, 2005.
[2] 洪文明 , “白光相移干涉術之三維表面量測”,國立交通大學光電所碩士班論文,2003 .
[3] Brock, N; Hayes, J; Kimbrough, B.; Millerd, J.; North-Morris, M.; Novak, M. & Wyant, J., “Dynamic interferometry”, Proc. SPIE Int. Soc. Opt. Eng., 5875, 1, 58750F, 2005.
[4] Kimbrough, B.; Millerd, J.; Wyant, J. & Hayes, J., “Low Coherence Vibration Insensitive Fizeau Interferometer”, Proc. of SPIE Vol, 6292, 62920F-1.
[5] Francon, M. & Mallick, S., “Polarized Interferometer”, Wiley, New York, 1971.
[6] 李正中, “薄膜光學與鍍膜技術”, 第五版, 藝軒出版社, 台灣, 2006.
[7] Hariharan, P.,” Optical interferometry” ,2ed, Academic Press, p98~104,2003
[8] Hecht, E. & Zajac, A., “Optics”, Addison-Wesley, p431~434, 1979.
[9] Malacara, D., “Optical shop testing”, Wiley, New York, p18~p30, 1997.
[10] Zhang, T., & Yamaguchi, I., “Three-dimensional microscopy with phase-shifting digital holography”. Opt. Let., 23, p1221~1223, 1998.
[11] Creath, K., “Phase-Measurement Interferometry Technique,” in Progress in Optics. Vol. XXVI, E. Wolf, Ed., Elsevier Science Publishers, Amsterdam, 349-393,1988.
[12] Wyant, J. C., “Interferometry optical metrology: basic principles and new systems,” Laser Focus, 65–71,1982.
[13] Hariharan, P., Oreb, B. F., and Eiju, T., ‘’Digital Phase-Shifting Interferometry: a Simple Error-Compensating Phase Calculation Algorithm,” Appl. Opt. 13, 2504,1987.
[14] Robinson, D. W. and Reid, G. T., Interferogram Analysis, 2nd Ed., pp. 123-126, Institute of Physics Publishing, Bristol and Philadelphia, 1993
[15] Helen, S.S.; Kothiyal, MP & Sirohi, RS, “Achromatic phase shifting by a rotating polarizer”, Opt.Commun., 154, 5-6, p249~254, 1998.
[16] Amnon Y. & Pochi Y., “Optical Waves in Crystals”, Mei Ya, Taipei, p.121~131, 1983.
[17] Yuuki Watanabe, Yasuhiro Hayasaka, Manabu Sato, and Naohiro Tanno,”Full-field optical coherence tomography by achromatic phase shifting with a rotating polarizer”, APPLIED OPTICS , 44, 8,2005.
[18] Hauge,P.S.”RECENT DEVELOPMENTS IN INSTRUMENTATION IN ELLIPSOMETRY”,Surf. Sci.96,108,1980.
[19] Abeles F., “Methods for determining optical parameters of thin films”, in Progress in Optics, Vol. 2, Chap. VI, ed. by Wolf E., North-Holland Publishing Company, 251-288, 1963.
[20] Manifacier J.C., Gasiot J. and Filland J.P., “Simple method for determination of the optical constant n, k and the thickness of weekly absorbing thin films”, J. Phy. E. : Sci. Inst. 9, 1002-1004,1976.
[21] Swanepoel R., “Determination of the thickness and optical constant of amorphous silicon”, J. Phy. E.: Sci. Inst. 16, 1214-1222, 1983.
[22] Edward Collett, “POLARIZED LIGHT,” Marcel Dekker, Inc.cptl and pp21-89, 1993.
[23] 林奕德,"數值分析簡式橢偏儀中的偏光片及析光片之校正及更正",國立交通大學光電所碩士班論文,2005 .
[24] Millerd, J. E., “Fringe 2005,” edited by W. Osten, pg 640, 2005.
[25] 馬聖茹, 茹膜堆光學導納量測儀”堆光國立中央大學光電所碩士班論文,2008.