Imaging a point with two spherical mirrors

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 15, Issue 12, 1998, Pages 3045-3056

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

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001585469     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.15.003045     Document Type: Article

References (17)

1. B. D. Stone and G. W. Forbes, “Foundations of first-order layout for asymmetric systems: an application of Hamilton’s methods,” J. Opt. Soc. Am. A 9, 96–109 (1992).
2. B. D. Stone and G. W. Forbes, “Foundations of second-order layout for asymmetric systems,” J. Opt. Soc. Am. A 9, 2067–2082 (1992).
3. 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).
4. 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).
5. O. N. Stavroudis, “Two-mirror systems with spherical reflecting surfaces,” J. Opt. Soc. Am. 57, 741–748 (1967).
6. S. Rosin, “Inverse Cassegrainian systems,” Appl. Opt. 7, 1483–1497 (1968).
7. P. G. Hannan, “General analysis of two-mirror relay systems,” Appl. Opt. 31, 513–518 (1992).
8. J. Pan and X. Li, “Design of a tilted two-mirror system,” Opt. Rev. 1, 246–247 (1994).
9. B. M. Boshnyak and A. N. Korolev, “Synthesis of astigmatism-free condensers consisting of spherical mirrors,” Opt. Spectrosc. 43, 204–207 (1977).
10. B. M. Boshnyak, “Meridional aberrations of a spherical surface at large angles of incidence,” Opt. Spectrosc. 40, 518–521 (1976).
11. B. M. Boshnyak, “Extrameridional aberrations of a spherical surface at large angles of incidence,” Opt. Spectrosc. 41, 386–390 (1976).
12. B. M. Boshnyak, “Summation of meridional aberrations of a spherical surfaces with arbitrary decentering angles,” Opt. Spectrosc. 41, 632–634 (1976).
13. B. M. Boshnyak, “Addition of extrameridional aberrations of a spherical surfaces with large angles of decentering,” Opt. Spectrosc. 42, 106–110 (1977).
14. For a description of the imaging properties that correspond to the terms of degree two in the Taylor expansion of Hamilton’s point-angle mixed characteristic see, for example, 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), and the REFERENCES cited therein.
15. A discussion of the Schwarzschild configuration for both infinite and finite conjugates can be found in W. J. Smith, Modern Optical Engineering: The Design of Optical Systems, 2nd ed. (McGraw-Hill, New York, 1990), Sec. 13.2. The original paper on the subject discusses the infiniteconjugate case: K. Schwarzschild, “Untersuchungen zur geometrischen Optik, II: Theorie der Spiegeltelescope,” Abh. Königl. Ges. Wiss. Göttingen, Math.-Phys. Klasse 9, Neue Folge, Bd. IV, No. 2, 2–28 (1905).
16. D. Shafer, “Optical design with only two surfaces,” in International Lens Design Conference, R. E. Fischer, ed., Proc. SPIE 237, 256–261 (1980).
17. J. M. Howard and B. D. Stone, “Imaging a point to a line with a single spherical mirror,” Appl. Opt. 37, 1826–1834 (1998).