OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 7 — Mar. 1, 1998
  • pp: 1249–1255

Born approximation for the nonparaxial scalar treatment of thick phase gratings

Wolfgang Singer and Hans Tiziani  »View Author Affiliations


Applied Optics, Vol. 37, Issue 7, pp. 1249-1255 (1998)
http://dx.doi.org/10.1364/AO.37.001249


View Full Text Article

Enhanced HTML    Acrobat PDF (1008 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The conventional design of phase gratings or kinoforms with a paraxial transmission function is restricted to the paraxial domain and thin elements. Therefore, the design and analysis of thick phase-relief structures require a nonparaxial theory, as given by the Born approximation. The Born approximation is derived as an extension of the scalar thin-element theory, which is applicable for thick elements with large propagation angles. As an example, general prism gratings on curved surfaces are treated.

© 1998 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1970) Diffraction and gratings : Diffractive optics
(290.0290) Scattering : Scattering

History
Original Manuscript: May 5, 1997
Revised Manuscript: August 21, 1997
Published: March 1, 1998

Citation
Wolfgang Singer and Hans Tiziani, "Born approximation for the nonparaxial scalar treatment of thick phase gratings," Appl. Opt. 37, 1249-1255 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-7-1249


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. A. Jordan, P. M. Hirsch, L. B. Lesem, D. L. Van Rooy, “Kinoform lenses,” Appl. Opt. 9, 1883–1887 (1970). [PubMed]
  2. M. T. Gale, M. Rossi, J. Pedersen, H. Schütz, “Fabrication of continuous-relief micro-optical elements by direct laser writing in photoresist,” Opt. Eng. 33, 3556–3566 (1994). [CrossRef]
  3. M. Rossi, C. G. Blough, D. H. Raguin, E. K. Popov, D. Maystre, “Diffraction efficiency of high-NA continuous-relief diffractive lenses,” in Diffractive Optics and Micro-Optics, Vol. 5 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D. C., 1996), pp. 233–236.
  4. S. Sinzinger, M. Testorf, “Transition between diffractive and refractive micro-optical components,” Appl. Opt. 34, 5970–5976 (1995);M. Rossi, R. E. Kunz, H. P. Herzig, “Refractive and diffractive properties of planar micro-optical elements,” Appl. Opt. 34, 5996–6007 (1995);see also Ref. 12. [CrossRef] [PubMed]
  5. Ch. Hofman, Die Optische Abbildung (Akademische Verlagsgesellschaft, Leipzig, 1980).
  6. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), pp. 77–83.
  7. D. W. Sweeney, G. E. Sommargreen, “Harmonic diffractive lenses,” Appl. Opt. 34, 2469–2475 (1995). [CrossRef] [PubMed]
  8. E. Wolf, “Three-dimensional structure determination of semi-transparent objects from holographic data,” Opt. Commun. 1, 153–156 (1969). [CrossRef]
  9. W. Singer, K.-H. Brenner, “Transition of the scalar field at a refracting surface in the generalized Kirchhoff diffraction theory,” J. Opt. Soc. Am. A 12, 1913–1919 (1995). [CrossRef]
  10. K.-H. Brenner, W. Singer, “Light propagation through microlenses: a new simulation method,” Appl. Opt. 32, 4984–4988 (1993). [CrossRef] [PubMed]
  11. W. T. Cathey, Optical Information Processing (Wiley, New York, 1974), p. 5 and Ref. 11.
  12. T. R. M. Sales, G. M. Morris, “Diffractive-refractive behaviour of kinoform lenses,” Appl. Opt. 36, 253–257 (1997). [CrossRef] [PubMed]
  13. L.-J. Gelius, J. J. Stamnes, “Diffraction tomography: potentials and problems,” in Scattering in Volumes and Surfaces, M. Nieto-Vesperinas, J. C. Dainty, eds. (Elsevier, Amsterdam, 1990), pp. 91–109.
  14. T. K. Gaylord, M. G. Moharam, “Analysis and application of optical diffraction by gratings,” Proc. IEEE 73, 894–937 (1985). [CrossRef]
  15. N. Abramson, “Principle of least wave change,” J. Opt. Soc. Am. A 6, 627–629 (1989). [CrossRef] [PubMed]

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