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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 59, Iss. 9 — Sep. 1, 1969
  • pp: 1155–1158

Use of the Modulation-Transfer Function (MTF) as an Aberration-Balancing Merit Function in Automatic Lens Design

WILLIAM B. KING  »View Author Affiliations


JOSA, Vol. 59, Issue 9, pp. 1155-1158 (1969)
http://dx.doi.org/10.1364/JOSA.59.001155


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Abstract

A new aberration-balancing merit function for automatic lens design is described in which the MTF squared, with suitable weightings, serves directly as image-quality criterion. Details concerning the optimization procedure are given and a new set of normal equations is described. The basic assumption is that the design-parameter changes should be kept small, which is a valid approximation for the optimization technique employed. The evaluation of the coefficients in the normal equations requires extensive numerical integration; a method based on the modified Hopkins algorithm is suggested.

© 1969 Optical Society of America

Citation
WILLIAM B. KING, "Use of the Modulation-Transfer Function (MTF) as an Aberration-Balancing Merit Function in Automatic Lens Design," J. Opt. Soc. Am. 59, 1155-1158 (1969)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-59-9-1155


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References

  1. H. H. Hopkins, Opt. Acta 13, 343 (1966).
  2. A. V. Lenskii, Opt. Spectrosc. 24, 229 (1968).
  3. W. B. King, J. Opt. Soc. Am. 58, 655 (1968).
  4. W. B. King, J. Opt. Soc. Am. 59, 692 (1969).
  5. W. B. King, Appl. Opt. 7, 489 (1968).
  6. W. B. King and J. Kitchen, Appl. Opt. 7, 1193 (1968).
  7. H. H. Hopkins, Proc. Phys. Soc. (London) B70, 449 (1957).
  8. C. G. Wynne, Proc. Phys. Soc. (London) 73, 777 (1959).
  9. J. Meiron, J. Opt. Soc. Am. 55, 1105 (1965).
  10. Boundary controls incorporating lagrangian undetermined multipliers have been described by many authors. See, for example, Ref. 9.
  11. W. B. King, Appl. Opt. 7, 197 (1968).
  12. H. H. Hopkins, Proc. Phys. Soc. (London) B70, 1002 (1957).

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