OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 20 — Oct. 15, 2006
  • pp: 2972–2974

Improving accuracy by subpixel smoothing in the finite-difference time domain

A. Farjadpour, David Roundy, Alejandro Rodriguez, M. Ibanescu, Peter Bermel, J. D. Joannopoulos, Steven G. Johnson, and G. W. Burr  »View Author Affiliations


Optics Letters, Vol. 31, Issue 20, pp. 2972-2974 (2006)
http://dx.doi.org/10.1364/OL.31.002972


View Full Text Article

Enhanced HTML    Acrobat PDF (583 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Finite-difference time-domain (FDTD) methods suffer from reduced accuracy when modeling discontinuous dielectric materials, due to the inhererent discretization (pixelization). We show that accuracy can be significantly improved by using a subpixel smoothing of the dielectric function, but only if the smoothing scheme is properly designed. We develop such a scheme based on a simple criterion taken from perturbation theory and compare it with other published FDTD smoothing methods. In addition to consistently achieving the smallest errors, our scheme is the only one that attains quadratic convergence with resolution for arbitrarily sloped interfaces. Finally, we discuss additional difficulties that arise for sharp dielectric corners.

© 2006 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(230.3990) Optical devices : Micro-optical devices
(240.6700) Optics at surfaces : Surfaces

ToC Category:
General

History
Original Manuscript: June 16, 2006
Manuscript Accepted: July 10, 2006
Published: September 22, 2006

Citation
A. Farjadpour, David Roundy, Alejandro Rodriguez, M. Ibanescu, Peter Bermel, J. D. Joannopoulos, Steven G. Johnson, and G. W. Burr, "Improving accuracy by subpixel smoothing in the finite-difference time domain," Opt. Lett. 31, 2972-2974 (2006)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-31-20-2972


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd ed. (Artech, 2005).
  2. R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 48, 8434 (1993). [CrossRef]
  3. R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, Phys. Rev. B 55, 15942 (1997), erratum of Ref. . [CrossRef]
  4. S. G. Johnson and J. D. Joannopoulos, Opt. Express 8, 173 (2001). [CrossRef] [PubMed]
  5. N. Kaneda, B. Houshmand, and T. Itoh, IEEE Trans. Microwave Theory Tech. 45, 1645 (1997). [CrossRef]
  6. S. Dey and R. Mittra, IEEE Trans. Microwave Theory Tech. 47, 1737 (1999). [CrossRef]
  7. A. Mohammadi, H. Nadgaran, and M. Agio, Opt. Express 13, 10367 (2005). [CrossRef] [PubMed]
  8. A. Ditkowski, K. Dridi, and J. S. Hesthaven, J. Comput. Phys. 170, 39 (2001). [CrossRef]
  9. "Meep FDTD package," http://jdj.mit.edu/meep.
  10. J. Nadobny, D. Sullivan, W. Wlodarczyk, P. Deuflhard, and P. Wust, IEEE Trans. Antennas Propag. 51, 1760 (2003). [CrossRef]
  11. S. G. Johnson, M. Ibanescu, M. A. Skorobogatiy, O. Weisberg, J. D. Joannopoulos, and Y. Fink, Phys. Rev. E 65, 066611 (2002). [CrossRef]
  12. S. G. Johnson, M. L. Povinelli, M. Soljacic, A. Karalis, S. Jacobs, and J. D. Joannopoulos, Appl. Phys. B: Photophys. Laser Chem. 81, 283 (2005). [CrossRef]
  13. I. A. Zagorodnov, R. Schuhmann, and T. Weiland, Int. J. Numer. Model. 16, 127 (2003). [CrossRef]
  14. S. Moskow, V. Druskin, T. Habashy, P. Lee, and S. Davidycheva, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 36, 442 (1999).
  15. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, 1995).
  16. V. A. Mandelshtam and H. S. Taylor, J. Chem. Phys. 107, 6756 (1997). [CrossRef]
  17. J. B. Andersen and V. Solodukhov, IEEE Trans. Antennas Propag. 26, 589 (1978). [CrossRef]
  18. W. W. Lui, C.-L. Xu, W.-P. Huang, K. Yokoyama, and S. Seki, J. Lightwave Technol. 17, 1509 (1999). [CrossRef]
  19. G. R. Hadley, J. Lightwave Technol. 20, 1219 (2002). [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.

Figures

Fig. 1 Fig. 2 Fig. 3
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited