OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 27, Iss. 14 — Jul. 15, 1988
  • pp: 2960–2971

Hybrid diffractive-refractive lenses and achromats

Thomas Stone and Nicholas George  »View Author Affiliations

Applied Optics, Vol. 27, Issue 14, pp. 2960-2971 (1988)

View Full Text Article

Enhanced HTML    Acrobat PDF (1656 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Hybrid elements containing optical power with both diffractive (holographic) and refractive components are shown to be useful for obtaining arbitrary or, in special cases, achromatic dispersive characteristics. In one configuration a volume holographic element is coated on the surface of a crown glass lens, and by varying the power distributions among the refractive and holographic components while maintaining constant overall optical power the effective Abbe V numbers of the resultant hybrid element are shown to span all real numbers excepting a narrow interval around zero. In the achromat case (V number = ∞), both refractive and diffractive components are of the same sign resulting in much smaller glass curvatures than in all-refractive achromat doublets or apochromat triplets. The large separation between holographic partial dispersions and available glass partial dispersions is shown to lead to hybrid three-color achromats with greatly reduced glass curvatures. Applications are expected to include broadband achromatic objectives and chromatic aberration corrector plates in high performance optical systems. Such corrector plates may have any net power (including zero) while exhibiting effective V numbers that are positive or negative and that span a wide range, e.g., ±1 or ±1000. Further advantages include reducing the need for choosing high dispersion glasses, which may be costly and difficult to grind or polish. High diffraction efficiency and broad spectral bandwidths (in excess of 3000 Å) are obtained in the holographic optical elements using single-element central-stop and cascaded element designs.

© 1988 Optical Society of America

Original Manuscript: December 14, 1987
Published: July 15, 1988

Thomas Stone and Nicholas George, "Hybrid diffractive-refractive lenses and achromats," Appl. Opt. 27, 2960-2971 (1988)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. R. H. Katyl, “Compensating Optical Systems. Parts 1–3,” Appl. Opt. 11, 1241 (1972). [CrossRef] [PubMed]
  2. G. M. Morris, “Diffraction Theory for an Achromatic Fourier Transform,” Appl. Opt. 20, 2017 (1981). [CrossRef] [PubMed]
  3. N. George, G. M. Morris, “Optical Matched Filtering in Noncoherent Illumination,” invited paper in Current Trends in Optics, F. T. Arecchi, F. R. Aussenegg, Eds. (Taylor and Francis, London, 1981).
  4. T. Stone, “Holographic Optical Elements,” Ph.D. Thesis, U. Rochester (1986).
  5. T. Stone, N. George, “Hybrid Singlet Arbitrarily Dispersive Element,” J. Opt. Soc. Am. A 4(13), P 77 (1987).
  6. R. Kingslake, Lens Design Fundamentals (Academic, New York, 1978), pp. 77–87.
  7. Schott Optical Glass Inc., 400 York Ave., Duryea, PA 18642. Catalogs 3050 and 3111e/USA IX/80.
  8. I. H. Malitson, “A Redetermination of Some Optical Properties of Calcium Fluoride,” Appl. Opt. 2, 1103 (1963). [CrossRef]
  9. A. E. Conrady, Applied Optics and Optical Design, Part 1 (Oxford U. P., New York, 1929; Dover, New York, 1957), pp. 142–166.
  10. Units of length are omitted in the calculations, as is customary in optical system design.
  11. N. v. d. W. Lessing, “Selection of Optical Glasses in Apochromats,” J. Opt. Soc. Am. 47, 955 (1957). [CrossRef]
  12. N. v. d. W. Lessing, “Further Considerations on the Selection of Optical Glasses in Apochromats,” J. Opt. Soc. Am. 47, 955 (1957). [CrossRef]
  13. R. E. Stephens, “Selection of Glasses for Three-Color Achromats,” J. Opt. Soc. Am. 49, 398 (1959). [CrossRef]
  14. M. Herzberger, “Colour Correction in Optical Systems and a New Dispersion Formula,” Opt. Acta 6, 197 (1959). [CrossRef]
  15. R. T. Ingwall, H. L. Fielding, “Hologram Recording with a New Photopolymer System,” Opt. Eng. 24, 808 (1985). [CrossRef]
  16. R. T. Ingwall, A. Stuck, W. T. Vetterling, “Diffraction Properties of Holograms Recorded in DMP-128,” Proc. Soc. Photo-Opt. Instrum. Eng. 615, 81 (1986).
  17. T. Stone, N. George, “Bandwidth of Holographic Optical Elements,” Opt. Lett. 7, 445 (1982). [CrossRef] [PubMed]
  18. T. Stone, N. George, “Wavelength Performance of Holographic Optical Elements,” Appl. Opt. 24, 3797 (1985). [CrossRef] [PubMed]
  19. J. N. Latta, “Analysis of Multiple Hologram Optical Elements with Low Dispersion and Low Aberrations,” Appl. Opt. 11, 1686 (1972). [CrossRef] [PubMed]
  20. B. J. Chang, “Doubly Modulated On-Axis Thick-Hologram Optical Elements,” J. Opt. Soc. Am. 67, 1435A (1977).
  21. D. H. Close, “Holographic Optical Elements,” Opt. Eng. 14, 408 (1975).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited