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Two-mirror Schwarzschild aplanats: Basic relations

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An Erratum to this article was published on 01 May 2005

Abstract

The theory of aplanatic two-mirror telescopes developed by Karl Schwarzschild in 1905 is shown to lead to a unified description of both prefocal and postfocal systems. The class of surfaces in the ZEMAX optical program has been properly extended to ascertain the image quality in exact Schwarzschild aplanats. A comparison of Schwarzschild aplanats with approximate Ritchey-Chrétien and Gregory-Maksutov aplanatic telescopes reveals a noticeable advantage of the former at the system’s fast focal ratio.

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References

  1. J. R. P. Angel, M. Lesser, R. Sarlot, et al., ASP Conf. Ser. 195, 81 (2000).

    ADS  Google Scholar 

  2. V. V. Biryukov and V. Yu. Terebizh, Izv. Krym. Astrofiz. Obs. 99, 152 (2003).

    Google Scholar 

  3. D. R. Blanco, G. Pentland, C. H. Smith, et al., Proc. SPIE 4842, 85 (2003).

    ADS  Google Scholar 

  4. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge Univ. Press, Cambridge, 1999).

    Google Scholar 

  5. H. Chrétien, Rev. d’Opt. 1(13), 49 (1922).

    Google Scholar 

  6. V. N. Churilovskii, Izv. Vyssh. Uchebn. Zaved., Priborostr. 2, 102 (1958).

    Google Scholar 

  7. P. Dierickx, Proc. Bäckaskog Workshop on Extremely Large Telescopes (1999), p. 224.

  8. K. W. Hodapp, U. Laux, and W. A. Siegmund, Pan-STARRS Doc. Control PSDC-300-001-00 (2003).

  9. J. Landi Dessy, Bol. Assoc. Argent. Astron., No. 14, 21 (1968).

  10. D. Lynden-Bell, Mon. Not. R. Astron. Soc. 334, 787 (2002).

    Article  ADS  Google Scholar 

  11. D. D. Maksutov, Tr. Gos. Opt. Inst. 8(86) (1932).

  12. D. D. Maksutov, Astronomical Optics (Gostekhizdat, Moscow, 1946) [in Russian].

    Google Scholar 

  13. A. McPherson, S. C. Craig, and W. Sutherland, Proc. SPIE 4837, 82 (2003).

    ADS  Google Scholar 

  14. N. N. Mikhel’son, Optical Telescopes. Theory and Construction (Nauka, Moscow, 1976) [in Russian].

    Google Scholar 

  15. A. Offner, Optical Shop Testing, Ed. by D. Malacara (1978), Chap. 14.

  16. G. M. Popov, Aspherical Surfaces in Astronomical Optics (Nauka, Moscow, 1980) [in Russian].

    Google Scholar 

  17. G. M. Popov, Modern Astronomical Optics (Nauka, Moscow, 1988) [in Russian].

    Google Scholar 

  18. B. Schmidt, Mitteilungen Hamburger Sternwarte in Bergedorf 7(36), 15 (1930). Reprinted: Selected Papers on Astronomical Optics, SPIE Milestone Ser. 73, 165 (1993).

    Google Scholar 

  19. D. J. Schroeder, Astronomical Optics (Academic Press, San Diego, 2000).

    Google Scholar 

  20. K. Schwarzschild, Astronomische Mittheilungen der Königlichen Sternwarte zu Göttingen 10, 3 (1905), Part II. Reprinted: Selected Papers on Astronomical Optics, SPIE Milestone Ser. 73, 3 (1993).

    ADS  Google Scholar 

  21. V. Yu. Terebizh, Exp. Astron. 11, 171 (2001).

    Article  ADS  Google Scholar 

  22. V. Yu. Terebizh, Pis’ma Astron. Zh. 30(3), 231 (2004) [Astron. Lett. 30 (3), 200 (2004)].

    Google Scholar 

  23. Update on Progress at the Steward Obs. Mirror Lab. (Dec. 1991).

  24. R. V. Willstrop and D. Lynden-Bell, Mon. Not. R. Astron. Soc. 342, 33 (2003).

    Article  ADS  Google Scholar 

  25. R. N. Wilson, Reflecting Telescope Optics (Springer, Berlin, 1996), Vol. I.

    Google Scholar 

  26. D. G. York, J. Adelman, J. E. Anderson, et al., Astron. J. 120, 1579 (2000).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Sternberg Astronomical Institute, Universitetskii pr. 13, Moscow, 119992, Russia

    V. Yu. Terebizh

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  1. V. Yu. Terebizh
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__________

Translated from Pis’ma v Astronomicheski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Zhurnal, Vol. 31, No. 2, 2005, pp. 143–153.

Original Russian Text Copyright © 2005 by Terebizh.

An erratum to this article is available at http://dx.doi.org/10.1134/1.1922535.

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Terebizh, V.Y. Two-mirror Schwarzschild aplanats: Basic relations. Astron. Lett. 31, 129–139 (2005). https://doi.org/10.1134/1.1862353

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  • DOI: https://doi.org/10.1134/1.1862353

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