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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 29, Iss. 31 — Nov. 1, 1990
  • pp: 4537–4537

Linearization of nonlinear automatic lens design problems

Kazuo Tanaka  »View Author Affiliations


Applied Optics, Vol. 29, Issue 31, pp. 4537-4537 (1990)
http://dx.doi.org/10.1364/AO.29.004537


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Abstract

A simple method to linearize formally a nonlinear automatic lens design problem is presented with two different solvers.

© 1990 Optical Society of America

History
Original Manuscript: November 15, 1989
Published: November 1, 1990

Citation
Kazuo Tanaka, "Linearization of nonlinear automatic lens design problems," Appl. Opt. 29, 4537-4537 (1990)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-29-31-4537


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References

  1. D. R. Buchele, “Damping Factor for the Least-Squares Method of Optical Design,” Appl. Opt. 7, 2433–2435 (1968). [CrossRef] [PubMed]
  2. G. H. Golub, C. Reinsch, “Singular Value Decomposition and Least Squares Solutions,” Numer. Math. 14, 403–420 (1970). [CrossRef]
  3. For example, C. R. Rao, S. K. Mitra, Generalized Inverse Matrices and its Application (Wiley, New York, 1971).
  4. Å. Björk, “Solving Linear Least-Squares Problems by Gram-Schmidt Orthogonalization,” B.I.T. 7, 1–21 (1967).
  5. P. Businger, G. H. Golub, “Linear Least-Squares Solutions by Householder Transformation,” Numer. Math. 7, 269–276 (1965). [CrossRef]
  6. A. Girard, “Calcul automatique en optique géométrique,” Rev. Opt. 37, 225–241 (1958).
  7. C. G. Wynne, “Lens Designing by Electronic Digital Computer: I,” Proc. Phys. Soc. London 73, 777–787 (1959). [CrossRef]
  8. J. Meiron, “Damped Least-Squares Method for Automatic Lens Design,” J. Opt. Soc. Am. 55, 1105–1109 (1965). [CrossRef]
  9. K. A. Levenberg, “A Method for the Solutions of Certain Nonlinear Problems in Least-Squares,” Q. Appl. Math. 2, 164–168 (1944).

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