Imaging with three spherical mirrors

Applied Optics

Volumn 39, Issue 19, 2000, Pages 3216-3231

  Howard, Joseph M ^a,b   Stone, Bryan D ^c  

^a UNIVERSITY OF ROCHESTER   (United States)

^b NASA GODDARD SPACE FLIGHT CENTER   (United States)

^c Tropel Corporation ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); HAMILTONIANS; MATRIX ALGEBRA; PROJECTION SYSTEMS;

GLOBAL OPTIMIZERS;

MIRRORS;

EID: 0000138861     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.39.003216     Document Type: Article

References (29)

1. D. Korsch, Reflective Optics (Academic, Boston, Mass., 1991), Chaps. 9, 12, and 13.
2. A. Kutter, Der Schiefspiegler (Fritz Weichhard, Biberach an der Riss, Germany, 1953).
3. A. Kutter, “The Schiefspiegler (oblique telescope),” Sky Telesc. Bull. A (1958).
4. B. Tatian, “A first look at computer design of optical systems without any symmetry,” in Recent Trends in Optical Systems Design: Computer Lens Design Workshop, C. Londono and R. E. Fischer, eds., Proc. SPIE 766, 38-47 1985.
5. R. A. Buchroeder, “Tilted-component telescopes. I. Theory,” Appl. Opt. 9, 2169-2171 (1970).
6. K. P. Thompson, “Aberration fields in tilted and decentered optical systems,” Ph.D. dissertation (University of Arizona, Tucson, Ariz., 1980).
7. J. R. Rogers, “Vector aberration theory and the design of offaxis systems,” in International Lens Design Conference, W. H. Taylor and D. T. Moore, eds., Proc. SPIE 554, 76-81 (1985).
8. P. Sands, “Aberration coefficients of plane symmetric systems,” J. Opt. Soc. Am. 62, 1211-1220 (1972).
9. J. M Sasian, “How to approach the design of a bilateral symmetric optical system,” Opt. Eng. 33, 2045-2061 (1994).
10. B. D. Stone and G. W. Forbes, “Foundations of first-order layout for asymmetric systems: an applications of Hamilton’s methods,” J. Opt. Soc. Am. A 9, 96-110 (1992).
11. B. D. Stone and G. W. Forbes, “Foundations of second-order layout for asymmetric systems,” J. Opt. Soc. Am. A 9, 2067-2082 (1992).
12. W. Conway and J. L. Synge, The Mathematical Papers of Sir William Rowan Hamilton (Cambridge U. Press, Cambridge, 1931).
13. B. D. Stone and G. W. Forbes, “Second-order design methods for definitive studies of plane-symmetric, two-mirror systems,” J. Opt. Soc. Am. A 11, 3292-3307 (1994).
14. B. D. Stone and G. W. Forbes, “Illustration of second-order design methods: global merit function plots for a class of projection systems,” J. Opt. Soc. Am. A 11, 3308-3321 (1994).
15. J. M. Howard and B. D. Stone, “Imaging a point with two spherical mirrors,” J. Opt. Soc. Am. A 15, 3045-3056 (1998).
16. B. D. Stone and G. W. Forbes, “First-order layout of asymmetric systems composed of three spherical mirrors,” J. Opt. Soc. Am. A 9, 110-120 (1992).
17. H. A. Buchdahl, Introduction to Hamiltonian Optics (Dover, New York, 1993), Chap. 2.
18. B. D. Stone and G. W. Forbes, “Characterization of first order optical properties for asymmetric systems,” J. Opt. Soc. Am. A 9, 478-489 (1992),.
19. A. E. W. Jones and G. W. Forbes, “An adaptive simulated annealing algorithm for global optimization over continuous variables,” J. Global Optim. 6, 1-34 (1995).
20. J. M. Howard and B. D. Stone, “Imaging with four spherical mirrors,” Appl. Opt. 39, 3232-3242 (2000).
21. M. Brunn, “Unobstructed all-reflecting telescopes of the Schiefspiegler type,” U.S. patent 5, 142, 417 (25 August 1992).
22. C. T. Cotton, “Design of an all-spherical, three-mirror, off-axis telescope objective,” in International Optical Design Conference, G. W. Forbes, ed., Vol. 22 of OSA Proceedings Series (Optical Society of America, Washington, D.C., 1994), pp. 349-351.
23. R. A. Buchroeder, “A new three-mirror off-axis amateur telescope,” Sky Telesc. 38, 418-423 (1969).
24. A. Kutter, “A new three-mirror unobstructed reflector,” Sky Telesc. 49, 46-49 (1975).
25. A. Offner, “Unit power imaging catoptric anastigmat,” U.S. patent 3, 748, 015 (24 July 1973).
26. L. H. J. F. Beckmann and D. Ehrlichmann, “Three-mirror off-axis systems for laser applications,” in International Optical Design Conference, G. W. Forbes, ed., Vol. 22 of OSA Proceedings Series (Optical Society of America, Washington, D.C., 1994), pp. 340-348.
27. A. Walther, “Eikonal theory and computer algebra,” J. Opt. Soc. Am. A 13, 523-531 (1996)
28. A. Walther, “Eikonal theory and computer algebra. II,” J. Opt. Soc. Am. A 13, 1763-1765 (1996).
29. B. D. Stone, “Determination of initial ray configurations for asymmetric systems,” J. Opt. Soc. Am. A 14, 3415-3429 (1997).