Laser & Optoelectronics Progress, Volume. 50, Issue 7, 72201(2013)

Analyzing Primary Mirror Deformation of Photo-Electronic Theodolite Using Zernike Annular Polynomials

Meng Xuan1,2、*, Qiao Yanfeng1, He Fengyun1, Sun Ning1, and Cai Sheng1
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
  • show less

    A method for analyzing the primary mirror deformation of photo-electronic theodolite with Zernike annular polynomials is researched. Firstly, a formula used to convert the finite element method (FEM) analysis results into the data based on the wave-front coordinate is deduced. Then, the deformation of the primary mirror in a photo-electronic theodolite is fitted with Zernike annular polynomials, and the peak-to-valley (PV) value (30.7 nm) and root-mean-square (RMS) value (6.3 nm) of surface error are calculated. Their error are 9.2% and 10.5% compared with actual inspection results. The influence of the primary mirror deformation on the aberration of optical system is obtained based on the relationship between Zernike annular polynomial coefficients and Seidel polynomial coefficients. Importing the Zernike annular polynomials into the Zemax software, a comprehensive analysis of the optical system can be realized. It provides information for optimizing the optical system.

    Tools

    Get Citation

    Copy Citation Text

    Meng Xuan, Qiao Yanfeng, He Fengyun, Sun Ning, Cai Sheng. Analyzing Primary Mirror Deformation of Photo-Electronic Theodolite Using Zernike Annular Polynomials[J]. Laser & Optoelectronics Progress, 2013, 50(7): 72201

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category: Optical Design and Fabrication

    Received: Mar. 12, 2013

    Accepted: --

    Published Online: May. 31, 2013

    The Author Email: Xuan Meng (mengxuanlou@gmail.com)

    DOI:10.3788/lop50.072201

    Topics