Optimal Geometric Design of Secondary Mirror Supporter in Catadioptric Optical System for Observation Reconnaissance Using Response Surface Methodology

반응 표면 분석법을 이용한 감시 정찰용 반사 굴절 광학계 부경 지지대의 형상 최적 설계

  • Lee, Sang Eun (Seeker & EO/IR R&D Lab., LIG NEX1 Co., Ltd.) ;
  • Kim, Dae Hee (Research Institute, B&C Tech Co., Ltd.) ;
  • Lee, Tae Won (Dept. of Mechanical Design Engineering, Kumoh Nat'l Institute of Technology)
  • 이상은 (LIG 넥스원 탐색기&광학연구센터) ;
  • 김대희 (비앤씨테크 기술연구소) ;
  • 이태원 (금오공과대학교 기계설계공학과)
  • Received : 2016.11.30
  • Accepted : 2017.01.05
  • Published : 2017.05.01


A catadioptric optical system produces images by refraction and reflection. To improve the image quality, the shape of the secondary mirror supporters should be determined to ensure that the centering error and tilt of secondary mirror are very small, and the main mirror receives the maximum amount of light. Furthermore, random acceleration vibration has a severe effect on the optical system for observation reconnaissance. In order to obtain the best design under these circumstances, the volume of the secondary mirror supporter must be minimized while satisfying the constraints expressed in standard deviations of the centering error and tilt. It is difficult to analytically calculate the design sensitivities of the standard deviations, because they are statistically defined. Hence, after their second-order regression equations were determined using a response surface methodology, an optimal geometric design was obtained. As a result, it was found that the method proposed in this paper, which included a random vibration analysis, was effective in obtaining the optimal design for a secondary mirror supporter with robustness.


Optimal Geometric Design;Catadioptric Optical System;Secondary Mirror Supporter;Response Surface Methodology;Random Vibration;Power Spectrum Density


Supported by : 금오공과대학교


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