OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 4 — Apr. 1, 2009
  • pp: 938–948

Modal method for conical diffraction by slanted lamellar gratings

S. Campbell, L. C. Botten, R. C. McPhedran, and C. Martijn de Sterke  »View Author Affiliations


JOSA A, Vol. 26, Issue 4, pp. 938-948 (2009)
http://dx.doi.org/10.1364/JOSAA.26.000938


View Full Text Article

Enhanced HTML    Acrobat PDF (418 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Slanted lamellar gratings made of dielectric materials are considered, used in conical diffraction mounts. We extend the modal method for slanted lamellar gratings from classical to conical incidence, develop fully generalized Fresnel matrices, and derive energy conservation relations for these matrices. Using the method, we verified a uniaxial crystal model for slanted lamellar gratings in a homogenization regime, examined the effects of grating symmetry on the maximum reflectance of Fano resonances, and showed that slanted lamellar gratings support Fano resonances despite the homogenization of their other optical properties.

© 2009 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(050.6624) Diffraction and gratings : Subwavelength structures

ToC Category:
Diffraction and Gratings

History
Original Manuscript: September 30, 2008
Revised Manuscript: December 18, 2008
Manuscript Accepted: December 28, 2008
Published: March 24, 2009

Citation
S. Campbell, L. C. Botten, R. C. McPhedran, and C. Martijn de Sterke, "Modal method for conical diffraction by slanted lamellar gratings," J. Opt. Soc. Am. A 26, 938-948 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-4-938


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. L. C. Botten, M. S. Craig, R. C. McPhedran, J. L. Adams, and J. R. Andrewartha, “The dielectric lamellar diffraction grating,” Opt. Acta 28, 413-428 (1981). [CrossRef]
  2. L. C. Botten, M. S. Craig, R. C. McPhedran, J. L. Adams, and J. R. Andrewartha, “The finitely conducting lamellar diffraction grating,” Opt. Acta 28, 1087-1102 (1981). [CrossRef]
  3. L. C. Botten, M. S. Craig, and R. C. McPhedran, “Highly conducting lamellar diffraction gratings,” Opt. Acta 28, 1103-1106 (1981). [CrossRef]
  4. P. Sheng, R. S. Stepleman, and P. N. Sanda, “Exact eigenfunctions for square-wave gratings--application to diffraction and surface-plasmon calculations,” Phys. Rev. B 26, 2907-2916 (1982). [CrossRef]
  5. J. M. Miller, J. Turunen, E. Noponen, A. Vasara, and M. R. Taghizadeh, “Rigorous modal theory for multiply grooved lamellar gratings,” Opt. Commun. 111, 526-535 (1994). [CrossRef]
  6. L. Li, “Multilayer modal method for diffraction gratings of arbitrary profile, depth, and permittivity,” J. Opt. Soc. Am. A 10, 2581-2591 (1993). [CrossRef]
  7. M. P. Davidson, “A modal model for diffraction gratings,” J. Mod. Opt. 50, 1817-1834 (2003).
  8. S. Campbell, L. C. Botten, Ross C. McPhedran, and C. Martijn de Sterke, “Modal method for classical diffraction by slanted lamellar gratings,” J. Opt. Soc. Am. A 25, 2415-2426 (2008). [CrossRef]
  9. S. Campbell, L. C. Botten, C. Martijn de Sterke, and R. C. McPhedran, “Fresnel formulation for multi-element lamellar diffraction gratings in conical mountings,” Waves Random Complex Media 17, 455-475 (2007). [CrossRef]
  10. L. Li, “A modal analysis of lamellar diffraction gratings in conical mountings,” J. Mod. Opt. 40, 553-573 (1993). [CrossRef]
  11. R. C. McPhedran, L. C. Botten, M. S. Craig, M. Nevière, and D. Maystre, “Lossy lamellar gratings in the quasistatic limit,” Opt. Acta 29, 289-312 (1982). [CrossRef]
  12. J. Lekner, “Optical properties of a uniaxial layer,” Pure Appl. Opt. 3, 821-837 (1994). [CrossRef]
  13. U. Fano, “The theory of anomalous diffraction gratings and of quasi-stationary waves on metallic surfaces (Sommerfelds waves),” J. Opt. Soc. Am. 31, 213-222 (1941). [CrossRef]
  14. E. Popov, L. Mashev, and D. Maystre, “Theoretical study of the anomalies of coated dielectric gratings,” Opt. Acta 33, 607-619 (1986). [CrossRef]
  15. A. Knoesen, T. K. Gaylord, and M. G. Moharam, “Hybrid guided modes in uniaxial dielectric planar waveguides,” J. Lightwave Technol. 6, 1083-1104 (1988). [CrossRef]
  16. I. Avrutsky, “Guided modes in a uniaxial multilayer,” J. Opt. Soc. Am. A 20, 548-556 (2003). [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