A Golay3 sparse aperture optical system of primary mirror with free-form surface

Abstract

To image distant and dim objects, this paper designs a sparse aperture optical system with a small F number and a large filling factor. The design process is divided into three steps. To start with, the curvature radius and spacing of the primary and secondary mirrors are calculated under the guidance of the paraxial imaging theory. Then, based on the primary aberration theory, the conic coefficients of the primary and secondary mirrors are also calculated. Finally, the node aberration theory is used to increase the field of view and eliminate the residual aberrations. Through theoretical derivation and computer-aided methods, a Golay3 sparse aperture optical system with primary mirror used Zernike polynomial is designed. The full field of view is 0.3° and the F number is 5.

This is a preview of subscription content, access via your institution.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

References

  1. 1.

    Xie, Z., Ma, H., Qi, Bo., et al.: Active sparse aperture imaging using independent transmitter modulation with improved incoherent Fourier ptychographic algorithm. Opt. Express 25(17), 20541 (2017)

    ADS  Article  Google Scholar 

  2. 2.

    Fiete, R., Tantalo, T., Calus, J., Mooney, J.: Image quality of sparse-aperture designs for remote sensing. Opt. Eng. 41(8), 57–69 (2002)

    Article  Google Scholar 

  3. 3.

    Xie, Z., Ma, H., He, X., et al.: Adaptive piston correction of sparse aperture systems with stochastic parallel gradient descent algorithm. Opt. Express 26(8), 9541 (2018)

    ADS  Article  Google Scholar 

  4. 4.

    James, E.H., Christ, F.: Field-of-view limitations of phased telescope arrays. Appl. Opt. 34(25), 87–98 (1995)

    Google Scholar 

  5. 5.

    Suryakant, G., Amit, G., Ganga, S.S.: Optical design of off-axis Cassegrain telescope using freeform surface at the secondary mirror. Opt. Eng. 54(2), 025113 (2015)

    Article  Google Scholar 

  6. 6.

    Xie, Z., Ma, H., Qi, Bo., et al.: Experimental demonstration of enhanced resolution of a Golay3 sparse-aperture telescope. Chin. Opt. Lett. 15(4), 30–33 (2007)

    Google Scholar 

  7. 7.

    Chenghao, Z., Zhile, W.: Mid-frequency MTF compensation of optical sparse aperture system. Opt. Express. 26(6), 73–92 (2018)

    Google Scholar 

  8. 8.

    Mingqiu, X.: Instrument Optics. Science Press, Beijing (2020)

    Google Scholar 

  9. 9.

    Quanying, W.: Study on the Sparse Aperture Optical Systems. Soochow University, Suzhou (2006)

    Google Scholar 

  10. 10.

    Feijun, S., Xiao, C., Chang, L.: Introduction to Modern Optical System Design. Science Press, Beijing (2019)

    Google Scholar 

  11. 11.

    Zhang, Y.: Applied Optics. Publishing House of Electronics Industry, Beijing (2015)

    Google Scholar 

  12. 12.

    Pan, J.: Optical Aspheric Design, Manufacture and Test. Soochow University Press, Suzhou (2004)

    Google Scholar 

  13. 13.

    Yang, T., Zhu, J., Jin, G.: Nodal aberration properties of coaxial imaging systems using Zernike polynomial surfaces. J. Opt. Soc. Am. A 32(5), 22–36 (2015)

    Article  Google Scholar 

Download references

Funding

National Science Foundation of China (NSFC) (61875145,11804243); Jiangsu Province Key Discipline of China’s 13th five-year plan (20168765); Jiangsu Key Laboratory of Advanced Optical Manufacture Technology (KJS1710); Suzhou Key Laboratory (SZS201611, SZS201712); and the Six Talent Peaks Project of the Jiangsu Province (DZXX-026).

Author information

Affiliations

Authors

Corresponding author

Correspondence to Quanying Wu.

Ethics declarations

Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Chen, B., Wu, Q. & Fan, J. A Golay3 sparse aperture optical system of primary mirror with free-form surface. Opt Rev 28, 113–118 (2021). https://doi.org/10.1007/s10043-021-00641-z

Download citation

Keywords

  • Sparse aperture
  • Aberration theory
  • Zernike polynomial
  • Dim objects