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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


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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

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