OSA's Digital Library

Journal of the Optical Society of Korea

Journal of the Optical Society of Korea


  • Vol. 13, Iss. 2 — Jun. 25, 2009
  • pp: 184–192

Analytic Design Procedure of Three-mirror Telescope Corrected for Spherical Aberration, Coma, Astigmatism, and Petzval Field Curvature

Jong-Ung Lee and Seung-Moon Yu  »View Author Affiliations

Journal of the Optical Society of Korea, Vol. 13, Issue 2, pp. 184-192 (2009)

View Full Text Article

Acrobat PDF (374 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

  • Export Citation/Save Click for help


There are total eight degrees of freedom in designing a three-mirror system. If we correct four kinds of third order aberrations and the system should have the specified effective focal length, the remaining three degrees of freedom can be used for selecting a suitable configuration for a specific application. We suggest an analytic design procedure for a three-mirror telescope system which has a suitably sized secondary mirror and proper separations between mirrors, and is corrected for four kinds of third order aberrations, spherical aberration, coma, astigmatism, and field curvature. Two design examples are shown. One has a compact configuration with off-axial field, the other has relatively long configuration with annular ring field.

© 2009 Optical Society of Korea

OCIS Codes
(110.6770) Imaging systems : Telescopes
(120.4570) Instrumentation, measurement, and metrology : Optical design of instruments
(220.2740) Optical design and fabrication : Geometric optical design
(220.4830) Optical design and fabrication : Systems design
(350.6090) Other areas of optics : Space optics

Original Manuscript: May 6, 2009
Manuscript Accepted: May 20, 2009
Published: June 25, 2009

Jong-Ung Lee and Seung-Moon Yu, "Analytic Design Procedure of Three-mirror Telescope Corrected for Spherical Aberration, Coma, Astigmatism, and Petzval Field Curvature," J. Opt. Soc. Korea 13, 184-192 (2009)

Sort:  Year  |  Journal  |  Reset


  1. G. I. Lebedeva and A. A. Garbul, "Prospective aerospace reflective objectives," J. Opt. Technol. 61, 610-614 (1994)
  2. J. H. Lee, Y. M. Kim, E.-S. Lee, S. K. Kim, E.-E. Kim, Y. W. Choi, and D. C. Park, "An optical design of a high resolution earth observation camera for small satellites," Hankook Kwanghak Hoeji(in Korean) 8, 6-12 (2000)
  3. J. H. Lee, T. S. Jang, H.-S. Yang, and S.-W. Rhee, "Optical design of a compact imaging spectrometer for STSAT3," J. Opt. Soc. Korea 12, 262-268 (2008) [CrossRef]
  4. D. Korsch, "Closed form solution for three-mirror telescopes, corrected for spherical aberration, coma, astigmatism, and field curvature," Appl. Opt. 11, 2986-2987 (1972) [CrossRef]
  5. P. N. Robb, "Three-mirror telescopes : design and optimization," Appl. Opt. 17, 2677-2685 (1978) [CrossRef]
  6. S. K. Oh, J. U. Lee, W. G. Kwon, and K. H. Hong, "Three-spherical-mirror system corrected for three kinds of third order aberrations," Hankook Kwanghak Hoeji(in Korean) 6, 93-100 (1995)
  7. J. U. Lee, K. H. Hong, and W. G. Kwon, "Optical design of three-mirror telescope system for infra-red and visible imaging," Hankook Kwanghak Hoeji(in Korean) 7, 183-190 (1996)
  8. S. C. Choi, H. K. Kim, and Y. S. Kim, "Optical design of flat field anstigmatic three-mirror telescope," Hankook Kwanghak Hoeji(in Korean) 8, 175-182 (1997)
  9. D. Gallagher, J. Bergstrom, J. Day, B. Martin, T. Reed, P. Spuhler, S. Streetman, and M. Tommeraasen, "Overview of the optical design and performance of the high resolution science imaging experiment(HiRISE)," Proc. SPIE 5874, 58740K (2005) [CrossRef]
  10. J.-L. Lamard, G.-D. Catherine, D. Valentini, C. Renard, T. Tournier, and J.-M. Laherrere, "Design of the high resolution optical instrument for the pleiades HR earth observation satellites," in Proc. the 5th Int"l Conf. on Space Optics (ICSO 2004) (Toulouse, France, 2004) pp. 149-156
  11. L. M. Lampton, J, M. Sholl, H. M. Krim, R. Besuner, W. C. Akerlof, G. Aldering, R. Amanullah, P. Astier, C. Baltay, E. Barrelet, S. Basa, C. Bebek, J. Bercovitz, L. Bergstrom, G. Berstein, M. Bester, R. C. Bohlin, A. Bonissent, C. R. Bower, M. Campbell, W. C. Carithers Jr., E. D. Commins, C. Day, S. E. Deustua, R. S. DiGennaro, A. Ealet, R. S. Ellis, W. Emmett, M. Eriksson, D. Fouchez, A. Fruchter, J.-F. Genat, G. Goldhaber, A. Goobar, D. E. Groom, H. D. Heetderks, S. E. Holland, D. Huterer, W. E. Johnston, R. W. Kadel, A. Karcher, A. G. Kim, W. F. Kolbe, R. E. Lafever, J. I. Lamoureux, O. Lefevre, M. E. Levi, D. S. Levin, E. V. Linder, S. C. Loken, R. Malina, A. Mazure, T. A. McKay, S. P. McKee, R. Miquel, N. Morgan, E. Mortsell, N. Mostek, S. Mufson, J. A. Musser, P. E. Nugent, M. H. Oluseyi, R. Pain, N. P. Palaio, D. H. Pankow, S. Perlmutter, E. Prieto, D. Rabinowitz, A. Refregier, J. Rhodes, A. N. Roe, M. S. Schubnell, G. Smadja, R. Smith, G. F. Smoot, J. A. Snyder, A. Spadafora, A. Szymkowiak, G. Tarle, K. Taylor, A. Tilquin, A. D. Tomasch, D. Vincent, H. von der Lippe, J.-P. Walder, and G. Wang, "SNAP telescope: an update," Proc. SPIE 5166, 113-123 (2004) [CrossRef]
  12. W. T. Welford, Aberrations of the Symmetrical Optical System (Academic Press, London, UK, 1974)

Cited By

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited