Volume 48 Issue 6
Jul.  2019
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Xu Guangzhou, Ruan Ping. New algorithm of surface parameter for optical parabolic surface with high-precision[J]. Infrared and Laser Engineering, 2019, 48(6): 617001-0617001(7). doi: 10.3788/IRLA201948.0617001
Citation: Xu Guangzhou, Ruan Ping. New algorithm of surface parameter for optical parabolic surface with high-precision[J]. Infrared and Laser Engineering, 2019, 48(6): 617001-0617001(7). doi: 10.3788/IRLA201948.0617001

New algorithm of surface parameter for optical parabolic surface with high-precision

doi: 10.3788/IRLA201948.0617001
  • Received Date: 2019-01-10
  • Rev Recd Date: 2019-02-20
  • Publish Date: 2019-06-25
  • Due to the complexity of calculating model for the current optical parabolic surface and to acquire the high-precision surface based on the data of finite element analysis for parabolic surface, a new high-precision algorithm of surface parameter for optical parabolic surface was proposed. Firstly, the discrete error of the optical parabolic surface was proposed, and elimination technique of discrete error was researched, which was also the crucial step for the data preprocessing of the surface parameter calculation. Secondly, the rigid body displacement and surface distortion displacement were distinguished with the data processing algorithm based on rigid body displacement. Lastly, the basic data to obtain parameter, just as the root mean square, was got using the optimal design algorithm. The algorithm realization of the high-precision parabolic surface parameter was discussed and the validity check of the algorithm was performed as well. The result of validity check demonstrated:the high-precision algorithm of parabolic surface parameter is higher, and the check error is about 6%. The precision of new algorithm can satisfy the engineering requirement, and it also provides a new technical reference for the high precision calculation of optical surface parameter under the external thermal load.
  • [1] Xu Guangzhou, Ruan Ping. Point cloud boundary detection in preprocessor of optical-mechanical integrated simulation[J]. Infrared and Laser Engineering, 2016, 45(4):0428001. (in Chinese)
    [2] Ma Zengxiang, Yang Dehua, Wang Shuqing, et al. Antenna reflector surface fitting algorithm based on rigid body displacement principle[J]. Journal of Mechanical Engineering, 2010, 46(18):29-34. (in Chinese)
    [3] Cheng Xiaojun, Zhou Shi. To fit paraboloid antenna equation with general quadratic surface equation and paraboloid restrictions[J]. Railway Investigation and Surveying, 2008, 34(1):4-8.
    [4] Cheng Jingquan. Principles of Astronomical Telescope Design[M]. US:Springer Press, 2009.
    [5] Xu Guangzhou, Ruan Ping, Li Ting, et al. Surface simulation of tilt mirror based on contact and integrated simulation method[J]. Infrared and Laser Engineering, 2012, 41(5):1316-1322. (in Chinese)
    [6] Banyal R K, Ravindra B, Chatterjee S. Opto-thermal analysis of a lightweighted mirror for solar telescope[J].Optics Express, 2013, 21(6):7065-7081.
    [7] Zhang Ying, Ding Zhenmin, Zhao Huijie, et al. Rigid-body displacement separation of optics in optical-structural-thermal integrated analysis[J]. Infrared and Laser Engineering, 2012, 41(10):2763-2767. (in Chinese)
    [8] Zhang Junqiang, Dong Deyi, Wu Qingwen, et al. Treatment of surface figure error and rigid body motion for mirror/lens in optical remote sensor[J]. Chinese Journal of Science Instrument, 2011, 32(6):242-247. (in Chinese)
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New algorithm of surface parameter for optical parabolic surface with high-precision

doi: 10.3788/IRLA201948.0617001
  • 1. Xi'an Institute of Optics and Precision Mechanics,Chinese Academy of Sciences,Xi'an 710119,China

Abstract: Due to the complexity of calculating model for the current optical parabolic surface and to acquire the high-precision surface based on the data of finite element analysis for parabolic surface, a new high-precision algorithm of surface parameter for optical parabolic surface was proposed. Firstly, the discrete error of the optical parabolic surface was proposed, and elimination technique of discrete error was researched, which was also the crucial step for the data preprocessing of the surface parameter calculation. Secondly, the rigid body displacement and surface distortion displacement were distinguished with the data processing algorithm based on rigid body displacement. Lastly, the basic data to obtain parameter, just as the root mean square, was got using the optimal design algorithm. The algorithm realization of the high-precision parabolic surface parameter was discussed and the validity check of the algorithm was performed as well. The result of validity check demonstrated:the high-precision algorithm of parabolic surface parameter is higher, and the check error is about 6%. The precision of new algorithm can satisfy the engineering requirement, and it also provides a new technical reference for the high precision calculation of optical surface parameter under the external thermal load.

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