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

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)

Appl. Opt.

• P. N. Robb, "Three-mirror telescopes : design and optimization," Appl. Opt. 17, 2677-2685 (1978) [CrossRef]

Applied Optics

• 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]

Hankook Kwanghak Hoeji

• 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)
• 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)
• 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)
• 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)

in Proc. the 5th Int’l Conf. on Space Optics (ICSO 2004)

• 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

J. Opt. Technol.

• G. I. Lebedeva and A. A. Garbul, "Prospective aerospace reflective objectives," J. Opt. Technol. 61, 610-614 (1994)

Journal of the Optical Society of Korea

• 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]

Proc. SPIE

• 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]
• 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]

Other

• W. T. Welford, Aberrations of the Symmetrical Optical System (Academic Press, London, UK, 1974)

Click here to see a list of articles that cite this paper

Related Journal Articles

• Optical design of the Wide Angle Camera for the Rosetta Mission (AO)
• Parametric Dependencies of High-diffraction-order Achromatized Aplanatic Configurations that Employ Circular or Crossed-linear Diffractive Optical Elements (AO)
• Houghton Anastigmatic Telescope Containing Aspheric Mirrors that Allows Corrector Position as a Free Parameter (AO)
• Parabola-Doublet Aplanat Becomes Anastigmatic when Second Doublet is Inserted Near Focus (AO)
• Optical design of a high-spatial-resolution extreme-ultraviolet spectroheliograph for the transition region (AO)

Related Conference Papers

• Schmidt-Like Spherical Aberration Corrector for Large Spectral Region Intended for the Space Optics
• Infrared Fabry-Perot Spectrometer Design, Optimization and Simulation
• Modified Offner Relay Systems for Future Adaptive Optical Telescopes
• Beyond spot diagrams: End-user oriented optical design
• Advanced NMS (Night-vision Monocular System) with 3rd generation II tube