Abstract

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

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References

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  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)

2008 (1)

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]

2005 (1)

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]

2004 (2)

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

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]

2000 (1)

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)

1997 (1)

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)

1996 (1)

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)

1995 (1)

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)

1994 (1)

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

1978 (1)

1974 (1)

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

1972 (1)

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]

Appl. Opt. (1)

Applied Optics (1)

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 (4)

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) (1)

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. (1)

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 (1)

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 (2)

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 (1)

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

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