現今光學元件對於人類生活愈來愈重要，例如：手機鏡頭、眼鏡、顯微鏡等等，而色差對於光學元件的也不可忽視，若是光學元件帶有的色差過大，我們會在手機或相機上面看到物品的邊緣模糊化，且有不同的顏色產生，因此消除色差的技術也愈來愈重要，但在消除色差之前，必須先將色差精準地量測並量化其大小，而本篇論文使用了Shack-Hartmann Wavefront Sensor 量測到的波前資訊去對色差量化並分析。
利用Shack-Hartmann Wavefront Sensor 的特性，回推出聚焦光點的位置，去得到不同色光經過待測樣品後的成像點位置，並推算出待測樣品的色差。為了校正量測系統，以正確的量測出縱向色差，本實驗使用Shack-Hartmann Wavefront Sensor 建置了一臺高動態準直儀，並與
Renishaw 的光學尺去做比對，即可知道準直儀的精度及與光學尺間的尺度誤差，並計算其動態範圍。在量測樣品的色差之前，本實驗亦對Shack-Hartmann Wavefront Sensor 本身進行色差的量測，並將其色
差的影響降至最低，確保待測樣品的色差量測更為精準。

Nowadays, the application of optical elements are becoming more and more important for human being’s life, such as cellphone camera lenses, glasses, microscopes lens, etc., and the chromatic aberration that the optical elements caused are also can’t be ignored. If the optical elements we used have chromatic aberration, we will not only found that the edge of the image will blur, but also saw the edge will produced different colors. So, the techniques of manufacture achromatic lenses are becoming more and more important. But, before we making the achromatic lenses, we must be measure and quantify the chromatic aberration. In this thesis, we use Shack-Hartmann Wavefront Sensor to measure wavefront information to analysis the chromatic aberration that the sample caused.
We use the characteristics of Shack-Hartmann Wavefront Sensor to derive the focal point position, then obtain the image position for the different color light sources propagate through the tested lens, so that we can calculate the chromatic aberration of the tested lens. In order to align the experiment system, which we can precisely measure Longitudinal Chromatic Aberration(LCA) and Transverse Chromatic Aberration(TCA), we built a collimator, and we also measured the sensitivity of the collimator to ensure that it can meet the accuracy we want for our alignment. Before measuring the chromatic aberration of the samples, we need to measure the chromatic aberration that Shack-Hartmann Wavefront Sensor caused, and minimize its effect of the chromatic aberration measurement, to ensure we measure the sample’s chromatic aberration correctly.

［1］Liang, J., et al., Objective measurement of wave aberrations of the human eye with the use of a Hartmann–Shack wave-front sensor. 1994. 11(7): p. 1949-1957.
［2］Ares, J., T. Mancebo, and S.J.A.O. Bara, Position and displacement sensing with Shack–Hartmann wave-front sensors. 2000. 39(10): p.1511-1520.
［3］Zavalova, V.Y. and A.V. Kudryashov. Shack-Hartmann wavefront sensor for laser beam analyses. in High-Resolution Wavefront Control: Methods, Devices, and Applications III. 2002.International Society for Optics and Photonics.
［4］Yoon, G.Y., et al., Shack Hartmann wave-front measurement with a large F-number plastic microlens array. 1996. 35(1): p. 188-192.
［5］Seifert, L., H. Tiziani, and W.J.O.c. Osten, Wavefront reconstruction with the adaptive Shack–Hartmann sensor. 2005.245(1-6): p. 255-269.
［6］Jain, P. and J.J.J.o.M.O. Schwiegerling, RGB Shack–Hartmann wavefront sensor. 2008. 55(4-5): p. 737-748.
［7］Vinas, M., et al., Longitudinal chromatic aberration of the human eye in the visible and near infrared from wavefront sensing,double-pass and psychophysics. 2015. 6(3): p. 948-962.
［8］Deng, Y., et al., Simultaneous quantification of longitudinal and transverse ocular chromatic aberrations with Hartmann–Shack wavefront sensor. 2018. 11(04): p. 1850021.
［9］Chang, H.-S. and C.-W.J.O.e. Liang, High resolution full field wavefront measurement of a misaligned miniature lens. 2018.26(24): p. 31209-31221.
［10］Malacara, D. and Z. Malacara, Handbook of lens design. 1994.
［11］Wikipedia, c. Cauchy's equation. 25 February 2020 15:09 UTC 18 May 2020 09:13 UTC]; Available from:
https://en.wikipedia.org/w/index.phptitle=Cauchy%27s_equation&oldid=942579028.
［12］Mouroulis, P., J. Macdonald, and J. Macdonald, Geometrical optics and optical design. 1997: Oxford University Press New York.
［13］Leroux, C. and C.J.O.e. Dainty, A simple and robust method to extend the dynamic range of an aberrometer. 2009. 17(21): p.19055-19061.
［14］Groening, S., et al., Wave-front reconstruction with a Shack–Hartmann sensor with an iterative spline fitting method. 2000. 39(4): p. 561-567.
［15］Fan, P.S., A Similarity-Guided Spots Sorting Method to Increase the Dynamic Range of a Shack Hartmann Sensor. 2013, National Central University.
［16］Jiang, Z., et al., Monte-Carlo analysis of centroid detected accuracy for wavefront sensor. 2005. 37(7): p. 541-546.
［17］楊東諺 and T.-Y. Yang, 聚焦位置與光波方向量測誤差評價與
分析;Algorithm error analysis for relationship of centroid of spot and ray angle. 國立中央大學.
［18］Southwell, W.H.J.J., Wave-front estimation from wave-front slope measurements. 1980. 70(8): p. 998-1006.
［19］Gambino, J., et al. CMOS image sensor with high refractive index lightpipe. in 2009 International Image Sensors Workshop (IISW). 2009.