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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 23, Iss. 16 — Aug. 15, 1984
  • pp: 2710–2714

Asymmetric spline surfaces: characteristics and applications

John E. Stacy  »View Author Affiliations


Applied Optics, Vol. 23, Issue 16, pp. 2710-2714 (1984)
http://dx.doi.org/10.1364/AO.23.002710


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Abstract

Asymmetric spline surfaces appear useful for the design of high-quality general optical systems (systems without symmetries). A spline influence function defined as the actual surface resulting from a simple perturbation in the spline definition array shows that a subarea is independent of others four or more points away. Optimization methods presented in this paper are used to vary a reflective spline surface near the focal plane of a decentered Schmidt-Cassegrain to reduce rms spot radii by a factor of 3 across the field.

© 1984 Optical Society of America

History
Original Manuscript: August 18, 1983
Published: August 15, 1984

Citation
John E. Stacy, "Asymmetric spline surfaces: characteristics and applications," Appl. Opt. 23, 2710-2714 (1984)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-23-16-2710


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References

  1. T. P. Vogl, A. K. Rigler, B. R. Canty, “Asymmetric Lens Design Using Bicubic Splines: Application to the Color TV Lighthouse,” Appl. Opt. 10, 2513 (1971). [CrossRef] [PubMed]
  2. A. K. Rigler, T. P. Vogl, “Spline Functions: An Alternative Representation of Aspheric Surfaces,” Appl. Opt. 10, 1648 (1971). [CrossRef] [PubMed]
  3. C. J. de Boor, “Bicubic Spline Interpolation,” Math. Phys. 41, 212 (1962).
  4. R. K. Tyson, D. M. Byrne, “The Effect of Wavefront Sensor Characteristics and Spatiotemporal Coupling on the Correcting Capability of a Deformable Mirror,” Proc. Soc. Photo-Opt. Instrum. Eng. 228, 21 (1980).
  5. Scientific Calculations, Inc., The ACCOS V Users’ Manual (Scientific Calculations, Fishers, N.Y., 1981).
  6. G. H. Spencer, “A Flexible Automatic Lens Correction Procedure,” Appl. Opt. 2, 1257 (1963). [CrossRef]
  7. W. J. Smith, “Image Formation: Geometrical and Physical Optics,” in Handbook of Optics, W. G. Driscoll, W. Vaughan Eds. (McGraw-Hill, New York, 1978).

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