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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 31 — Nov. 1, 2001
  • pp: 5663–5676

Selection of glasses for achromatic doublets with reduced secondary spectrum. I. Tolerance conditions for secondary spectrum, spherochromatism, and fifth-order spherical aberration

Juan L. Rayces and Martha Rosete-Aguilar  »View Author Affiliations


Applied Optics, Vol. 40, Issue 31, pp. 5663-5676 (2001)
http://dx.doi.org/10.1364/AO.40.005663


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Abstract

We describe a way of selecting pairs of glasses for both thin cemented achromatic doublets and thin aplanatic achromatic doublets with a reduced secondary spectrum. By taking one pair of glasses at a time, we can compute and display the secondary spectrum in increasing value. The number of solutions based on the magnitude of the secondary spectrum alone is huge: 40,804 pairs. Some tests are applied at different stages of the design procedure to reduce the number of acceptable solutions. Aberrations that cannot be corrected, namely, spherochromatism and fifth-order spherical aberration, are further calculated to reduce drastically the number of acceptable solutions. To do this, we establish tolerance conditions based on the relationship between the Strehl intensity ratio and the rms wave-aberration error so that the rms wave error is minimized in the presence of the secondary spectrum, spherochromatism, and the fifth-order spherical aberration.

© 2001 Optical Society of America

OCIS Codes
(080.2740) Geometric optics : Geometric optical design
(220.1010) Optical design and fabrication : Aberrations (global)

History
Original Manuscript: December 1, 2000
Revised Manuscript: June 8, 2001
Published: November 1, 2001

Citation
Juan L. Rayces and Martha Rosete-Aguilar, "Selection of glasses for achromatic doublets with reduced secondary spectrum. I. Tolerance conditions for secondary spectrum, spherochromatism, and fifth-order spherical aberration," Appl. Opt. 40, 5663-5676 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-31-5663


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References

  1. P. N. Robb, “Selection of optical glasses. 1: Two material,” Appl. Opt. 24, 1864–1877 (1985). [CrossRef]
  2. P. N. Robb, “Selection of optical glasses,” in Proceedings of the 19th International Lens Design Conference, W. H. Taylor, ed., Proc. SPIE554, 60–75 (1985).
  3. P. N. Robb, R. I. Mercado, “Calculation of refractive indices using Buchdahl’s chromatic coordinate,” J. Opt. Soc. Am. 71, 1639 (1981).
  4. R. D. Siglet, “Glass selection for airspaced apochromats using the dispersion equation,” Appl. Opt. 25, 4311–4320 (1986). [CrossRef]
  5. Schott Optical Glass Catalog, 1992 ed. (Schott Glaswerke Optisches Glas, Hattenbergstrabe 10, W-6500 Mainz, Germany).
  6. J. L. Rayces, M. Rosete-Aguilar, “Differential equation for normal glass dispersion and evaluation of secondary spectrum,” Appl. Opt. 38, 2028–2039 (1999). [CrossRef]
  7. J. Hoogland, “The design of apochromatic lenses,” in Recent Developments in Optical Design, R. A. Ruloff, ed. (Perkin-Elmer, Norwalk, Conn., 1968), pp. 6-1–6-8.
  8. R. Kingslake, Lens Design Fundamentals (Academic, New York, 1978), Chap. 5.
  9. I. C. Gardner, “Application of the algebraic aberration equations to optical design,” in Scientific Papers of the Bureau of Standards, No. 550 (Part of Vol. 22) (U.S. Government Printing Office, Washington, D.C., 1927).
  10. J. L. Rayces, M. Rosete-Aguilar, “Selection of glasses for achromatic doublets with reduced secondary spectrum,” in Current Developments in Lens Design and Optical Systems Engineering, R. E. Fischer, W. Smith, W. H. Swantner, eds., Proc. SPIE4093, 36–46 (2000). [CrossRef]
  11. M. Rimmer, M.S. thesis (Institute of Optics, University of Rochester, Rochester, N.Y., 1963).
  12. H. A. Buchdahl, Optical Aberration Coefficients (Oxford University, London, 1954).
  13. Lord Rayleigh, “Investigations in optics, with special reference to the spectroscope,” Philos. Mag. 8, 403–411 (1879).
  14. R. Kingslake, Lens Design Fundamentals (Academic, New York, 1978), p. 174.

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