OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 3 — Mar. 1, 2007
  • pp: 687–695

Analytic design and solutions for resonance domain diffractive optical elements

Michael A. Golub and Asher A. Friesem  »View Author Affiliations

JOSA A, Vol. 24, Issue 3, pp. 687-695 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (887 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A model for designing and analyzing complicated surface relief diffractive elements in the resonance domain is developed. It is based on subdividing the complicated diffractive element into many highly efficient local diffraction gratings whose surface relief modulations can be effectively characterized as slanted volume gratings for which closed form analytic solutions exist. The model is illustrated by finding in the resonance domain the local period, effective slant angle, and groove depth at each location on an off-axis cylindrical diffractive lens.

© 2007 Optical Society of America

OCIS Codes
(050.1380) Diffraction and gratings : Binary optics
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1970) Diffraction and gratings : Diffractive optics
(050.2770) Diffraction and gratings : Gratings
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Diffraction and Gratings

Original Manuscript: July 5, 2006
Revised Manuscript: September 25, 2006
Manuscript Accepted: September 26, 2006
Published: February 14, 2007

Michael A. Golub and Asher A. Friesem, "Analytic design and solutions for resonance domain diffractive optical elements," J. Opt. Soc. Am. A 24, 687-695 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. L. B. Lesem, P. M. Hirsch, and J. A. Jordan, "The kinoform: a new wavefront reconstruction device," IBM J. Res. Dev. 13, 150-155 (1969). [CrossRef]
  2. E. Hasman and A. A. Friesem, "Analytic optimization for holographic optical elements," J. Opt. Soc. Am. A 6, 62-72 (1989). [CrossRef]
  3. M. A. Golub, I. N. Sissakian, and V. A. Soifer, "Infra-red radiation focusators," Opt. Lasers Eng. 15, 297-309 (1991). [CrossRef]
  4. M. A. Golub, "Generalized conversion from the phase function to the blazed surface-relief profile of diffractive optical elements," J. Opt. Soc. Am. A 16, 1194-1201 (1999). [CrossRef]
  5. M. G. Moharam and T. K. Gaylord, "Diffraction analysis of dielectric surface-relief gratings," J. Opt. Soc. Am. 72, 1385-1392 (1982). [CrossRef]
  6. S. Peng and G. M. Morris, "Efficient implementation of rigorous coupled-wave analysis for surface-relief gratings," J. Opt. Soc. Am. A 12, 1087-1096 (1995). [CrossRef]
  7. L. Li, J. Chandezon, G. Granet, and J.-P. Plumey, "Rigorous and efficient grating-analysis method made easy for optical engineers," Appl. Opt. 38, 304-313 (1999). [CrossRef]
  8. M. Nevière and E. Popov, Light Propagation in Periodic Media (Marcel Dekker, 2003).
  9. M. L. Lee, P. Lalanne, J. Rodier, and E. Cambril, "Wide field-angle behavior of blazed-binary gratings in the resonance domain," Opt. Lett. 25, 1690-1692 (2000). [CrossRef]
  10. Y. Sheng, D. Feng, and S. Larochelle, "Analysis and synthesis of circular diffractive lens with local linear grating model and rigorous coupled-wave theory," J. Opt. Soc. Am. A 14, 1562-1568 (1997). [CrossRef]
  11. S. Shi and D. W. Prather, "Electromagnetic analysis of axially symmetric diffractive optical elements illuminated by oblique incident plane waves," J. Opt. Soc. Am. A 18, 2901-2907 (2001). [CrossRef]
  12. T. Shiono, T. Hamamoto, and K. Takahara, "High-efficiency blazed diffractive optical elements for the violet wavelength fabricated by electron-beam lithography," Appl. Opt. 41, 2390-2393 (2002). [CrossRef] [PubMed]
  13. E. Noponen, A. Vasara, J. Turunen, J. M. Miller, and M. R. Taghizadeh, "Synthetic diffractive optics in the resonance domain," J. Opt. Soc. Am. A 9, 1206-1213 (1992). [CrossRef]
  14. A. Schilling and H. P. Herzig, "Phase function encoding of diffractive structures," Appl. Opt. 39, 5273-5279 (2000). [CrossRef]
  15. J. M. Miller, N. Beaucoudrey, P. Chavel, J. Turunen, and Edmond Cambril, "Design and fabrication of binary slanted surface-relief gratings for a planar optical interconnection," Appl. Opt. 36, 5717-5727 (1997). [CrossRef] [PubMed]
  16. T. Vallius, J. Tervo, P. Vahimaa, and J. Turunen, "Electromagnetic field computation in semiconductor laser resonators," J. Opt. Soc. Am. A 23, 906-911 (2006). [CrossRef]
  17. D. H. Raguin and G. M. Morris, "Antireflection structured surfaces for the infrared spectral region," Appl. Opt. 32, 1154-1167 (1993). [CrossRef] [PubMed]
  18. M. A. Golub and A. A. Friesem, "Effective grating theory for the resonance domain surface relief diffraction gratings," J. Opt. Soc. Am. A 22, 1115-1126 (2005). [CrossRef]
  19. M. A. Golub, A. A. Friesem, and L. Eisen, "Bragg properties of efficient surface relief gratings in the resonance domain," Opt. Commun. 235, 261-267 (2004). [CrossRef]
  20. M. A. Golub and A. A. Friesem, "Analytical theory for efficient surface relief gratings in the resonance domain," in The Art and Science of Holography: A Tribute to Emmett Leith and Yuri Denisyuk, H.John Caulfield, ed. (SPIE Press, 2004) Chap. 19, pp. 307-328.
  21. H. Kogelnik, "Coupled wave theory for thick hologram gratings," Bell Syst. Tech. J. 48, 2909-2947 (1969).
  22. M. G. Moharam, T. K. Gaylord, and R. Magnusson, "Criteria for Bragg regime diffraction by phase gratings," Opt. Commun. 32, 14-18 (1980). [CrossRef]

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