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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 16 — Jun. 1, 2001
  • pp: 2698–2708

Analysis of the Disturbing Diffraction Orders of Computer-Generated Holograms Used for Testing Optical Aspherics

Norbert Lindlein  »View Author Affiliations


Applied Optics, Vol. 40, Issue 16, pp. 2698-2708 (2001)
http://dx.doi.org/10.1364/AO.40.002698


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Abstract

Aspheric surfaces are increasingly used in the design of high-quality optical imaging systems. Therefore accurate testing methods for aspherics are also necessary. One possibility is to use a computer-generated hologram (CGH) as a part of a null lens in an interferometric testing device. However, CGHs normally have more than one diffraction order, thus causing disturbing areas in the interferogram. Here a simple approximative analytical expression is given for the spatial frequencies of the disturbing light in the interferogram coming from the different diffraction orders of the CGH. This expression also enables one to calculate the size and the shape of the disturbing areas in the interferogram. Some design examples for CGHs are given in an application of the expression.

© 2001 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
Norbert Lindlein, "Analysis of the Disturbing Diffraction Orders of Computer-Generated Holograms Used for Testing Optical Aspherics," Appl. Opt. 40, 2698-2708 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-16-2698


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References

  1. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1980), pp. 197–202.
  2. J. Schwider and O. Falkenstörfer, “Twyman–Green interferometer for testing micro spheres,” Opt. Eng. 34, 2972–2975 (1995).
  3. A. J. MacGovern and J. C. Wyant, “Computer generated holograms for testing optical elements,” Appl. Opt. 10, 619–624 (1971).
  4. J. C. Wyant and P. K. O’Neill, “Computer generated hologram: null lens test of aspheric wavefronts,” Appl. Opt. 13, 2762–2765 (1974).
  5. H. Tiziani, “Prospects of testing aspheric surfaces with computer-generated holograms,” in Aspheric Optics: Design, Manufacture, Testing, P. Kuttner and T. L. Williams, eds., Proc. SPIE 235, 72–78 (1980).
  6. S. M. Arnold, “How to test an asphere with a computer generated hologram,” in Holographic Optics: Optically and Computer Generated, I. Cindrich and S. H. Lee, eds., Proc. SPIE 1052, 191–197 (1989).
  7. J. H. Burge, “Applications of computer-generated holograms for interferometric measurement of large aspheric optics,” in International Conference on Optical Fabrication and Testing, T. Kasai, ed., Proc. SPIE 2576, 258–269 (1995).
  8. J. Schwider, “Interferometric tests for aspherics,” in Fabrication and Testing of Aspheres, A. Lindquist, M. Piscotty, and J. S. Taylor, eds., Vol. 24 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1999), pp. 103–114.
  9. V. Ronchi, “On the phase grating interferometer,” Appl. Opt. 4, 1041–1042 (1965).
  10. W. T. Welford, “A vector raytracing equation for hologram lenses of arbitrary shape,” Opt. Commun. 14, 322–323 (1975).
  11. H. Schreiber and J. Schwider, “A lateral shearing interferometer based on two Ronchi gratings in series,” Appl. Opt. 36, 5321–5324 (1997).

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