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: Franco Gori
  • Vol. 27, Iss. 7 — Jul. 1, 2010
  • pp: 1694–1700

Reliable computation of scattering from metallic binary gratings using Fourier-based modal methods

Krishna Mohan Gundu and Arash Mafi  »View Author Affiliations


JOSA A, Vol. 27, Issue 7, pp. 1694-1700 (2010)
http://dx.doi.org/10.1364/JOSAA.27.001694


View Full Text Article

Acrobat PDF (1106 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Convergence problems in modal methods for TM polarized fields are often attributed to the inaccuracies in computing the modes of a grating. We report that even in the absence of these inaccuracies convergence problems persist. These arise because of the truncation of the infinite set of linear equations resulting from matching the fields at the grating–substrate and grating–superstrate interfaces with a square matrix. We show that dramatic improvement in convergence can be achieved if the infinite set of linear equations is truncated with a rectangular matrix and by seeking a solution with minimum least squared error.

© 2010 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(050.1755) Diffraction and gratings : Computational electromagnetic methods

ToC Category:
Diffraction and Gratings

History
Original Manuscript: February 3, 2010
Revised Manuscript: May 17, 2010
Manuscript Accepted: June 4, 2010
Published: June 23, 2010

Citation
Krishna Mohan Gundu and Arash Mafi, "Reliable computation of scattering from metallic binary gratings using Fourier-based modal methods," J. Opt. Soc. Am. A 27, 1694-1700 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-7-1694


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. L. Li and C. Haggans, “Convergence of the coupled-wave method for metallic lamellar diffraction gratings,” J. Opt. Soc. Am. A 10, 1184–1189 (1993). [CrossRef]
  2. P. Lalanne and G. Morris, “Highly improved convergence of the coupled-wave method for TM polarization,” J. Opt. Soc. Am. A 13, 779–784 (1996). [CrossRef]
  3. G. Granet and B. Guizal, “Efficient implementation of the coupled-wave method for metallic lamellar gratings in TM polarization,” J. Opt. Soc. Am. A 13, 1019–1023 (1996). [CrossRef]
  4. L. Li, “Use of Fourier series in the analysis of discontinuous periodic structures,” J. Opt. Soc. Am. A 13, 1870–1876 (1996). [CrossRef]
  5. E. Popov, B. Chernov, M. Nevière, and N. Bonod, “Differential theory: application to highly conducting gratings,” J. Opt. Soc. Am. A 21, 199–206 (2004). [CrossRef]
  6. A. Khavasi, K. Mehrany, and A. Jazayeri, “Study of the numerical artifacts in differential analysis of highly conducting gratings,” Opt. Lett. 33, 159–161 (2008). [CrossRef]
  7. N. Lyndin, O. Parriaux, and A. Tishchenko, “Modal analysis and suppression of the Fourier modal method instabilities in highly conductive gratings,” J. Opt. Soc. Am. A 24, 3781–3788 (2007). [CrossRef]
  8. M. Moharam, E. Grann, D. Pommet, and T. Gaylord, “Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings,” J. Opt. Soc. Am. A 12, 1068–1076 (1995). [CrossRef]
  9. P. Bienstman, “Rigorous and efficient modelling of wavelength scale photonic components,” doctoral thesis (Universiteit Gent, 2001).
  10. J. Suratteau, M. Cadilhac, and R. Petit, “Sur la détermination numérique des efficacités de certains réseaux diélectriques profonds,” J. Opt. 14, 273–288 (1983). [CrossRef]
  11. Y. Xie, A. Zakharian, J. Moloney, and M. Mansuripur, “Transmission of light through periodic arrays of sub-wavelength slits in metallic hosts,” Opt. Express 14, 6400–6413 (2006). [CrossRef]
  12. L. Botten, M. Craig, R. McPhedran, J. Adams, and J. Andrewartha, “Dielectric lamellar diffraction grating,” Opt. Acta 28, 413–428 (1981).
  13. M. Foresti, L. Menez, and A. Tishchenko, “Modal method in deep metal-dielectric gratings: the decisive role of hidden modes,” J. Opt. Soc. Am. A 23, 2501–2509 (2006). [CrossRef]
  14. P. Johnson and R. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972). [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