本研究針對Korsch望遠鏡之離軸矩形反射鏡系統進行設計與改善，因衛星遙測取像儀需承受高真空、振動、溫度變化等嚴苛的環境條件，因此需要考慮取像儀光學系統是否可在承受惡劣工作環境，並且保有良好的光學品質及機械強度。反射鏡為非圓形孔徑孔徑，故推導適用於擬合矩形反射鏡鏡面變形之Zernike多項式，並整合於光機轉換程式。最佳化流程中，串聯電腦輔助設計軟體、有限元素分析軟體、光機轉換程式以及最佳化軟體，分別對反射鏡減重設計及撓性支撐設計進行優化。經最佳化設計後，反射鏡減重比達61%；最佳化設計後撓性支撐結構在具有溫度變化下，系統PV值為45.56 nm，RMS值為9.79 nm，第一自然頻率為1023 Hz。;This study aims at the design and improvement of the rectangular mirror system of Korsch telescope. The Remote sensing instrument (RSI) needs to withstand severe environment including vacuum, vibration, temperature change, so both optical performance and mechanical strength should be considered during design and optimization. The aperture of the mirror was rectangular, therefore the Zernike polynomials which is suitable for rectangular mirror fitting was calculated. An optimization process which integrated computer-aided design, finite element analysis, opto-mechanical transfer program and optimization algorithm was used to design the lightweight mirror and flexure mount. After optimization, the mass reduction ratio of the mirror was 61%. Under temperature variations, Peak-to-Valley (PV) value and Root-Mean-Square (RMS) values of the optimum mirror which the flexure mount was 45.56 nm and 9.79 nm, respectively. The first natural frequency of optical system was 1023 Hz, which satisfied the design requirement.
