OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 42, Iss. 31 — Nov. 1, 2003
  • pp: 6255–6260

All-dielectric reflection gratings: a study of the physical mechanism for achieving high efficiency

Hongbo Wei and Lifeng Li  »View Author Affiliations

Applied Optics, Vol. 42, Issue 31, pp. 6255-6260 (2003)

View Full Text Article

Enhanced HTML    Acrobat PDF (205 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The physical mechanism for the all-dielectric reflection gratings to achieve high efficiency in the -1st-order Littrow mounting is studied. The all-dielectric gratings consist of two parts, a surface-relief grating and a highly reflecting dielectric stack. The surface-relief grating sits on top of the reflecting stack. A simple analytical expression for diffraction efficiency is obtained in terms of the S-matrix elements of the two parts. By analyzing the expression we show that the diffraction can be interpreted as the interference of a symmetric wave and an antisymmetric wave. The conditions for achieving high diffraction efficiency are also identified. The analytical results are illustrated by numerical computations.

© 2003 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1940) Diffraction and gratings : Diffraction
(050.1950) Diffraction and gratings : Diffraction gratings
(050.2770) Diffraction and gratings : Gratings
(310.0310) Thin films : Thin films

Original Manuscript: March 26, 2003
Revised Manuscript: July 24, 2003
Published: November 1, 2003

Hongbo Wei and Lifeng Li, "All-dielectric reflection gratings: a study of the physical mechanism for achieving high efficiency," Appl. Opt. 42, 6255-6260 (2003)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. D. Strickland, G. Mourou, “Compression of amplified chirped optical pulses,” Opt. Commun. 56, 219–221 (1985). [CrossRef]
  2. M. D. Perry, G. Mourou, “Terawatt to petawatt subpicosecond lasers,” Science 264, 917–924 (1994). [CrossRef] [PubMed]
  3. A. S. Svakhin, V. A. Sychugov, A. E. Tikhomirov, “Diffraction gratings with high optical strength for laser resonators,” Quantum Electron. 24, 233–235 (1994). [CrossRef]
  4. M. D. Perry, R. D. Boyd, J. A. Britten, D. Decker, B. W. Shore, C. Shannon, E. Shults, L. Li, “High-efficiency multilayer dielectric diffraction gratings,” Opt. Lett. 20, 940–942 (1995); erratum, Opt. Lett. 20, 1513 (1995). [CrossRef] [PubMed]
  5. B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, L. Li, “Design of high-efficiency dielectric reflection gratings,” J. Opt. Soc. Am. A 14, 1124–1136 (1997). [CrossRef]
  6. K. Hehl, J. Bischoff, U. Mohaupt, M. Palme, B. Schnabel, L. Wenke, R. Bödefeld, W. Theobald, E. Welsch, R. Sauerbrey, H. Heyer, “High-efficiency dielectric reflection gratings: design, fabrication, and analysis,” Appl. Opt. 38, 6257–6271 (1999). [CrossRef]
  7. L. Li, H. Wei, “High-efficiency reflection gratings made on a highly reflecting multilayer thin-film system: a physical description,” in Diffractive Optics 2001, Vol. 30 of European Optical Society Technical Meetings Digest Series (European Optical Society, Hanover, Germany, 2001), pp. 16–17.
  8. L. Li, “Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings,” J. Opt. Soc. Am. A 13, 1024–1035 (1996). [CrossRef]
  9. M. Nevière, P. Vincent, “Sur une propriété de symétrie des réseaux diélectriques,” Opt. Acta 23, 557–568 (1976). [CrossRef]
  10. K. Knop, “Rigorous diffraction theory for transmission phase gratings with deep rectangular grooves,” J. Opt. Soc. Am. 68, 1206–1210 (1978). [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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited