隨著機載及衛載遙測技術的發展，對地面解析度及影像品質要求愈來愈高，光學系統所需焦長及鏡片口徑亦逐漸增大，以反射式衛星遙測酬載光學系統為例，主次鏡片口徑大小是影響遙測酬載儀器體積和重量的主要因素，其直接決定衛星酬載發射成本及進入軌道後衛星姿態調控，因此必須確保在靜態強度、動態剛性及熱結構耦合等性能要求前提下，對遙測酬載儀器進行最大程度的輕量化。本研究主要根據衛星遙測酬載儀光學反射鏡片的設計要求，使用有限元素法分析光學反射鏡片之靜態、動態及熱結構耦合等性能，預估輕量化主次鏡片在承受不同負載情況下的最大變形與應力分布情形，以及求取輕量化鏡片結構自然頻率與模態振形。最後，針對鏡片結構數值分析結果之各節點變形數據，分別進行 Zernike 多項式擬合分析，以獲得鏡片表面形貌分布及像差大小。

This article reports the integrated opto-mechanical analysis approach to design, analysis, and optimization of the performance of optical light-weighted mirror subjected to environmental infl uences including static, dynamic and thermal loading. Emphasized is the application of the fi nite element technique to develop practical model for lightweighted mirror, and Zernike polynomials fi tting from thermal and structural response quantities into optical design such as wave-front error are mainly used to fulfi ll this analysis. The numerical result shows that the large lightweight mirror is obtained by this approach and the calculated deformation is below the requirements of optical desi.