稜鏡玻璃選取對色差的影響與校正

Selection of optical glasses with reduced chromatic aberration by prisms

李靜君(Ching-chun Lee)

指導教授 ： 孫慶成 ； 孫文信

國立中央大學/理學院/光電科學研究所/碩士(2007年)

摘要

本論文分別利用二片稜鏡及三片稜鏡組合之稜鏡組，使其能具有兩段波長色差消除、三段波長色差消除，甚至於四段波長色差消除的能力。在選擇玻璃方式上，配合傳統消色差公式及圖視法，於近軸條件下，選擇合適的玻璃材質組合，使其他波段之色差得以降低，且其個別稜鏡之偏向角亦較小。為判斷所選玻璃材質之近軸條件參數亦可於真實光線追跡的情況下得到較小的色差，撰寫優化程式對真實光線追跡之稜鏡參數(入射角度及頂角)優化，比較真實光線追跡色差及近軸色差後，發現兩者結果很相近且色差值很小，令人滿意。證實此選擇方法是可實行的。

關鍵字

玻璃選取 ； 稜鏡 ； 色差

並列摘要

In this thesis, we study to reduce two-, three- and four-wavelength chromatic aberrations with use of a prism system which consists of a two-prism set and a three-prism set. In choosing glasses, we apply a conventional formula and figure scheme to select appropriate glasses so that chromatic aberration can be reduced for other wavelengths and the deviation angle in each prism is small. In order to judge the validity of proposed method based on the paraxial formula, we apply real ray tracing in computer simulation. We find that the result by paraxial formula and that by real ray tracing are close to each other and the chromatic aberrations are small in both cases. The results show that the proposed method based on paraxial formula is trustable.

並列關鍵字

chromatic aberration ； prisms

參考文獻

[1] R. E. Stephens, “Four-color achromats and superchromatsm,” J. Opt. Soc. Am. 50, 1016-1019 (1960).

[2] R. E. Stephens, “Selection of glasses for three-color achromats,” J. Opt. Soc. Am. 49, 398-401 (1959).

[3] N. V. D. W. Lessing, “Selection of optical glasses in apochromats,” J. Opt. Soc. Am. 47, 955-958 (1957).

[4] N. V. D. W. Lessing, “Selection of optical glasses in superachromats,” Appl. Opt. 9, 7, 1665- 1668 (1970).

[6] N. V. D. W. Lessing, “Selection of optical glasses in taylor triplets (general method),” J. Opt. Soc. Am. 49, 31- 34 (1959).