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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 41, Iss. 13 — May. 1, 2002
  • pp: 2440–2447

Dual-Wave-Front Computer-Generated Holograms for Quasi-Absolute Testing of Aspherics

Mathias Beyerlein, Norbert Lindlein, and Johannes Schwider  »View Author Affiliations


Applied Optics, Vol. 41, Issue 13, pp. 2440-2447 (2002)
http://dx.doi.org/10.1364/AO.41.002440


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Abstract

Testing of aspherics by means of computer-generated holograms (CGHs) is well known. To perform a quasi-absolute test of rotationally symmetric aspheric surfaces, two wave fronts must be encoded in the CGH. Both the null lens and a spherical lens have to be stored. This enables successive measurements of the aspheric and of a cat’s-eye position without changing the object arm of the interferometer. Two possibilities for encoding both wave fronts have been investigated. A first-order approximation for estimating the influence of disturbing diffraction orders is given.

© 2002 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure
(220.1250) Optical design and fabrication : Aspherics
(220.4830) Optical design and fabrication : Systems design
(220.4840) Optical design and fabrication : Testing

Citation
Mathias Beyerlein, Norbert Lindlein, and Johannes Schwider, "Dual-Wave-Front Computer-Generated Holograms for Quasi-Absolute Testing of Aspherics," Appl. Opt. 41, 2440-2447 (2002)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-41-13-2440


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References

  1. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1980), pp. 197–202.
  2. G. Schulz and J. Schwider, “Interferometric testing of smooth surfaces,” in Progress in Optics, E. Wolf, ed. (Elsevier, New York, 1976), Vol. 13.
  3. A. F. Fercher, “Computer-generated holograms for testing optical elements: error analysis and error compensation,” Opt. Acta 23, 347–365 (1976).
  4. D. Malacara, ed., Optical Shop Testing, 2nd ed. (Wiley, New York, 1992).
  5. J. Schwider, “Absolutprüfung von asphärischen Flächen unter Zuhilfenahme von diffraktiven Normalelementen und planen sowie sphärischen Referenzflächen,” Patent-Offenlegungsschrift AZ 198 20 785.9 (17 April 1998).
  6. N. Lindlein, “Analysis of the disturbing diffraction orders of computer-generated holograms used for testing optical aspherics,” Appl. Opt. 40, 2698–2708 (2001).
  7. W. T. Welford, “A vector raytracing equation for hologram lenses of arbitrary shape,” Opt. Commun. 14, 322–323 (1975).
  8. E. Carcolé, M. S. Millán, and J. Campos, “Derivation of weighting coefficients for multiplexed phase-diffractive elements,” Opt. Lett. 20, 2360–2362 (1995).

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