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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 24, Iss. 8 — Apr. 15, 1985
  • pp: 1122–1129

Optical aberration functions: derivatives with respect to surface parameters for symmetrical systems

Torben Brender Andersen  »View Author Affiliations


Applied Optics, Vol. 24, Issue 8, pp. 1122-1129 (1985)
http://dx.doi.org/10.1364/AO.24.001122


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Abstract

Formulas are presented for the computation of derivatives of the optical aberration functions S, T, V, W, and K with respect to the surface parameters for symmetrical optical systems. The important case of conic-section surfaces of revolution is considered separately. The formulas are suitable for use in computer programs for automatic computation of optical aberration coefficients.

© 1985 Optical Society of America

History
Original Manuscript: September 8, 1984
Published: April 15, 1985

Citation
Torben Brender Andersen, "Optical aberration functions: derivatives with respect to surface parameters for symmetrical systems," Appl. Opt. 24, 1122-1129 (1985)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-24-8-1122


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References

  1. T. B. Andersen, “Automatic Computation of Optical Aberration Coefficients,” Appl. Opt. 19, 3800 (1980). [CrossRef] [PubMed]
  2. T. B. Andersen, “Optical Aberration Coefficients: fortran Subroutines for Symmetrical Systems,” Appl. Opt. 20, 3263 (1981). [CrossRef] [PubMed]
  3. T. B. Andersen, “Automatic Computation of Optical Focal Surfaces,” Appl. Opt. 20, 2754 (1981). [CrossRef] [PubMed]
  4. T. B. Andersen, “Optical Aberration Functions: Computation of Caustic Surfaces and Illuminance in Symmetrical Systems,” Appl. Opt. 20, 3723 (1981). [CrossRef] [PubMed]
  5. S. C. Tam, G. D. W. Lewis, S. Doric, D. Heshmaty-Manesh, “Diffraction Analysis of Rotationally Symmetric Optical Systems Using Computer-Generated Aberration Polynomials,” Appl. Opt. 22, 1181 (1983). [CrossRef] [PubMed]
  6. J. Barcala, M. Alvarez-Claro, F. Garralón, “Sensitivity of Optical Systems to Changes in Curvatures. I: Finite Sensitivity Coefficients,” Atti Fond. Giorgio Ronchi 36, 348 (1981).
  7. T. B. Andersen, “Optical Aberration Functions: Derivatives with Respect to Axial Distances for Symmetrical Systems,” Appl. Opt. 21, 1817 (1982). [CrossRef] [PubMed]
  8. T. B. Andersen, “Optical Aberration Functions: Chromatic Aberrations and Derivatives with Respect to Refractive Indices for Symmetrical Systems,” Appl. Opt. 21, 4040 (1982). [CrossRef] [PubMed]
  9. T. B. Andersen, A. Reiz, “Positions of Stars in Regions of 14 Southern Galactic Clusters,” Astron. Astrophys. Suppl. Ser. 53, 181 (1983).
  10. G. W. Forbes, M. Andrews, “Concatenation of Symmetric Systems in Hamiltonian Optics,” J. Opt. Soc. Am. 73, 776 (1983). [CrossRef]
  11. G. W. Forbes, “Order Doubling in the Computation of Aberration Coefficients,” J. Opt. Soc. Am. 73, 782 (1983). [CrossRef]
  12. G. W. Forbes, “Chromatic Coordinates in Aberration Theory,” J. Opt. Soc. Am. A 1, 344 (1984). [CrossRef]
  13. G. W. Forbes, “Weighted Truncation of Power Series and the Computation of Chromatic Aberration Coefficients,” J. Opt. Soc. Am. A 1, 350 (1984). [CrossRef]
  14. G. W. Forbes, “Weighted Order Doubling in the Computation of Chromatic Aberration Coefficients,” J. Opt. Soc. Am. A 1, 974 (1984). [CrossRef]
  15. G. W. Forbes, “Order Doubling in the Determination of Characteristic Functions,” J. Opt. Soc. Am. 72, 1097 (1982). [CrossRef]
  16. G. W. Forbes, “New Class of Characteristic Functions in Hamiltonian Optics,” J. Opt. Soc. Am. 72, 1698 (1982). [CrossRef]
  17. G. W. Forbes, “Concatenation of Restricted Characteristic Functions,” J. Opt. Soc. Am. 72, 1702 (1982). [CrossRef]

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