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, G. W. Burr

Research output: Contribution to journalArticle

417 Scopus 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.

Original languageEnglish (US)
Pages (from-to)2972-2974
Number of pages3
JournalOptics Letters
Volume31
Issue number20
DOIs
StatePublished - Oct 15 2006

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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    Farjadpour, A., Roundy, D., Rodriguez, A., Ibanescu, M., Bermel, P., Joannopoulos, J. D., Johnson, S. G., & Burr, G. W. (2006). Improving accuracy by subpixel smoothing in the finite-difference time domain. Optics Letters, 31(20), 2972-2974. https://doi.org/10.1364/OL.31.002972