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Proceedings Paper

Improving accuracy by sub-pixel smoothing in FDTD
Author(s): A. Farjadpour; D. Roundy; A. Rodriguez; M. Ibanescu; P. Bermel; J. D. Joannopoulos; S. G. Johnson; G. W. Burr
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Paper Abstract

Finite-difference time-domain (FDTD) methods suffer from reduced accuracy when modeling discontinuous dielectric materials, due to the inhererent discretization ("pixellization"). We show that accuracy can be significantly improved by using a sub-pixel 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 to 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.

Paper Details

Date Published: 30 August 2006
PDF: 11 pages
Proc. SPIE 6322, Tuning the Optic Response of Photonic Bandgap Structures III, 63220G (30 August 2006); doi: 10.1117/12.706155
Show Author Affiliations
A. Farjadpour, Massachusetts Institute of Technology (United States)
D. Roundy, Massachusetts Institute of Technology (United States)
A. Rodriguez, Massachusetts Institute of Technology (United States)
M. Ibanescu, Massachusetts Institute of Technology (United States)
P. Bermel, Massachusetts Institute of Technology (United States)
J. D. Joannopoulos, Massachusetts Institute of Technology (United States)
S. G. Johnson, Massachusetts Institute of Technology (United States)
G. W. Burr, IBM Almaden Research Ctr. (United States)


Published in SPIE Proceedings Vol. 6322:
Tuning the Optic Response of Photonic Bandgap Structures III
Paul V. Braun; Sharon M. Weiss, Editor(s)

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