反射式成像穩定系統之光學設計

本實驗室於先前的研究中曾提出了光學半穩定(POS)的反射系統，即當反射系統隨著空間中某特定的方向向量旋轉時，其出射光線的方向和成像位姿將維持不變，稱之為「光學半穩定系統」。而本研究將進一步提出一種光學成像穩定(OSI)的反射系統，不僅保留POS系統的光學穩定特性，其中，OSI反射系統成像的位置和光線路徑的總長度也會固定不變，則稱之為「光學成像穩定系統」。本研究提出一種分析方法，可設計具多個反射鏡的OSI反射系統，並且透過ZEMAX進行模擬，加以驗證OSI反射系統之光學特性。最後，先前的研究中曾提出了應用螺旋三角法和輔助向量法，針對光學系統像位變化之設計理論，本論文進一步將此設計理論稍加做變化，以純數學解析的理論，套用於OSI反射系統之反射鏡設計。並且利用Pro/E建構出所有反射面的方向，以驗證其光線路徑與系統之正確性。經研究結果顯示，此方法可精確設計出無限多組的OSI反射系統之反射鏡設計。

關鍵字

幾何光學；幾何光學設計；光學成像穩定系統；反射系統設計

並列摘要

The design of a partially optically stable (POS) reflector system, in which the exit ray direction and image pose are unchanged as the reflector system rotates about a specific directional vector, was presented in an earlier study by the current group. The present study further proposes an optically stable image (OSI) reflector system, in which not only is the optical stability property of the POS system retained, but the image position and total ray path length are also fixed. An analytical method is proposed for the design of OSI reflector systems comprising multiple reflectors. The validity of the proposed approach is demonstrated by means of two illustrative example and ZEMAX simulation.

並列關鍵字

Geometric optics ； Geometric optical design ； optically stable image

參考文獻

[1]W. J. Smith, 2001, Modern Optical Engineering, 3rd ed. (Edmund Industrial Optics), pp. 91–123.

[2]M. Skop, D. Ben-Ezra, and N. Schweitzer, “Adjustable stabilized reflector for optical communication,” in Proceedings of the IEEE 19th Convention of Electrical and Electronics Engineers in Israel (IEEE, 1996), pp. 383–386.

[3]W. Li, J. Liang, Z. Liang, X. Li,W.Wang, Y. Zhong, and D. Sun, 2008, “Design and fabrication of a micro-optic switch,” Opt. Express 16, 6324–6330 .

[4]N. Schweitzer, Y. Friedman, and M. Skop, 1998, “Stability of systems of plane reflecting surfaces,” Appl. Opt. 37, 5190–5192 .

[5]P. R. Yoder, Jr., 1958, “Study of light deviation errors in triple mirror and tetrahedral prisms,” J. Opt. Soc. Am. 48, 496–499 .

國際替代計量

反射式成像穩定系統之光學設計

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