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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 53, Iss. 14 — May. 10, 2014
  • pp: 3028–3034

Easy-aligned off-axis three-mirror system with wide field of view using freeform surface based on integration of primary and tertiary mirror

Qingyu Meng, Wei Wang, Hongcai Ma, and Jihong Dong  »View Author Affiliations

Applied Optics, Vol. 53, Issue 14, pp. 3028-3034 (2014)

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An off-axis three-mirror system (OTS) was designed based on the primary mirror and tertiary mirror (TM) integrated on a single substrate in order to solve the OTS drawbacks, such as the alignment difficulty and the large opto-mechanical weight. Furthermore, an optical freeform surface that can increase the optimizing degrees of freedom (DOF) was applied on the TM in order to achieve a wide field of view (FOV). An example with a focal length of 1200 mm, F-number of 12, and FOV of 10 ° × 4 ° was given, and the maximum wave front error (WFE) RMS was 0.0126 λ , indicating a good imaging quality. The design result shows that the number of alignment DOF was reduced from 12 to 6, and the weight of the mirror support assembly can also be lighter. An XY polynomial, established as an even function of x, was employed as the TM surface, so we obtained an axial symmetrical imaging quality about the x axis, and the axial symmetry aberration performance also brings considerable convenience to alignment and testing for the OTS.

© 2014 Optical Society of America

OCIS Codes
(080.1010) Geometric optics : Aberrations (global)
(080.3620) Geometric optics : Lens system design
(120.3620) Instrumentation, measurement, and metrology : Lens system design
(220.3620) Optical design and fabrication : Lens system design

ToC Category:
Geometric Optics

Original Manuscript: January 14, 2014
Revised Manuscript: April 1, 2014
Manuscript Accepted: April 1, 2014
Published: May 7, 2014

Qingyu Meng, Wei Wang, Hongcai Ma, and Jihong Dong, "Easy-aligned off-axis three-mirror system with wide field of view using freeform surface based on integration of primary and tertiary mirror," Appl. Opt. 53, 3028-3034 (2014)

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  1. D. Korsch, “Design and optimization technique for three-mirror telescopes,” Appl. Opt. 19, 3640–3645 (1980). [CrossRef]
  2. T. Nakano and Y. Tamagawa, “Configuration of an off-axis three-mirror system focused on compactness and brightness,” Appl. Opt. 44, 776–783 (2005). [CrossRef]
  3. C. Jun, W. Zhicheng, and J. Huiling, “Design on three-reflective-mirror system used in space,” Acta Optica Sinica 23, 216–219 (2003).
  4. R. Geyl, “Design and fabrication of a three-mirror, flat-field anastigmat for high-resolution earth observation,” Proc. SPIE 2210, 739–746 (1994). [CrossRef]
  5. L. D. Mei, Q. X. Geng, and Z. Li, “Optimization design for main supporting structure of the off-axis TMA Space Remote Sensor,” in International Conference on Mechanic Automation and Control Engineering (IEEE, 2010), pp. 252–254.
  6. M. L. Lampton, M. J. Sholl, and M. E. Levi, “Off-axis telescopes for dark energy investigations,” Proc. SPIE 7731,77311G (2010).
  7. M. Hartl, H. Mosebach, J. Schubert, H. Michaelis, S. Mottola, E. Kührt, and K. Schindler, “Asteroid finder-the spaceborne telescope to search for NEO asteroids,” in International Conference on Space Optics (ESA, 2010), Vol. 4, p. 8.
  8. R. B. Johnson, “Wide field of view three-mirror telescopes having a common optical axis,” Opt. Eng. 27, 121046 (1988). [CrossRef]
  9. J. Liu, F. Long, and W. Zhang, “Study on computer-aided alignment method of off-axis three-mirror system,” Opt. Technol. 5, 019 (2004).
  10. D. Lee, A. Born, P. Parr-Burman, P. Hastings, B. Stobie, and N. Bezawada, “Design of a compact wide field telescope for space situational awareness,” Proc. SPIE 8444, 84440F (2012). [CrossRef]
  11. Z. Zheng, X. Hao, and X. L. Liu, “Freeform surface lens for LED uniform illumination,” Appl. Opt. 48, 6627–6634 (2009). [CrossRef]
  12. Y. Ding, X. Liu, Z.-R. Zheng, and P.-F. Gu, “Freeform LED lens for uniform illumination,” Opt. Express 16, 12958–12966 (2008). [CrossRef]
  13. W. Zhang, B. Zuo, S. Chen, H. Xiao, and Z. Fan, “Design of fixed correctors used in conformal optical system based on diffractive optical elements,” Appl. Opt. 52, 461–466 (2013). [CrossRef]
  14. D. Cheng, Y. Wang, H. Hua, and M. M. Talha, “Design of an optical see-through head-mounted display with a low f-number and large field of view using a freeform prism,” Appl. Opt. 48, 2655–2668 (2009). [CrossRef]
  15. L. Xu, K. Chen, Q. He, and G. Jin, “Design of freeform mirrors in Czerny-Turner spectrometers to suppress astigmatism,” Appl. Opt. 48, 2871–2879 (2009). [CrossRef]
  16. P. Junhua, The Design, Manufacture and Test of the Aspherical Optical Surfaces (SuZhou University, 2004).
  17. V. N. Mahajan, “Optical Imaging and Aberrations: Part 1. Ray Geometrical Optics (SPIE, 1998).
  18. R. K. Tyson, “Conversion of Zernike aberration coefficients to Seidel and higher-order power-series aberration coefficients,” Opt. Lett. 7, 262–264 (1982). [CrossRef]

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