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Proceedings Paper

Application of the finite-difference time-domain (FDTD) method with local grid refinement to nanostructure design
Author(s): Aramais R. Zakharian; Jerome V. Moloney; Colm Dineen; Moysey Brio
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Paper Abstract

The Finite-Difference Time-Domain (FDTD) method is often a viable alternative to other computational methods used for the design of sub-wavelength components of photonic devices. We describe an FDTD based grid refinement method, which reduces the computational cell size locally, using a collection of nested rectangular grid patches. On each patch, a standard FDTD update of the electromagnetic fields is applied. At the coarse/fine grid interfaces the solution is interpolated, and consistent circulation of the fields is enforced on shared cell edges. Stability and accuracy of the scheme depend critically on the update scheme, space and time interpolation, and a proper implementation of flux conditions at mesh boundaries. Compared to the conformal grid refinement, the method enables better efficiency by using non-conformal grids around the region of interest and by refining both space and time dimensions, which leads to considerable savings in computation time. We discuss the advantages and shortcomings of the method and present its application to the problem of computation of a quality factor of a 3-D photonic crystal microcavity.

Paper Details

Date Published: 31 March 2005
PDF: 10 pages
Proc. SPIE 5728, Integrated Optics: Devices, Materials, and Technologies IX, (31 March 2005); doi: 10.1117/12.590765
Show Author Affiliations
Aramais R. Zakharian, Optical Sciences Ctr./Univ. of Arizona (United States)
Univ. of Arizona (United States)
Jerome V. Moloney, Optical Sciences Ctr./Univ. of Arizona (United States)
Univ. of Arizona (United States)
Colm Dineen, Univ. of Arizona (United States)
Moysey Brio, Univ. of Arizona (United States)


Published in SPIE Proceedings Vol. 5728:
Integrated Optics: Devices, Materials, and Technologies IX
Yakov Sidorin; Christoph A. Waechter, Editor(s)

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