Application of the finite-difference time-domain (FDTD) method with local grid refinement to nanostructure design

Aramais R. Zakharian; Jerome V. Moloney; Colm Dineen; Moysey Brio

doi:10.1117/12.590765

31 March 2005 Application of the finite-difference time-domain (FDTD) method with local grid refinement to nanostructure design

Aramais R. Zakharian, Jerome V. Moloney, Colm Dineen, Moysey Brio

Author Affiliations +

Proceedings Volume 5728, Integrated Optics: Devices, Materials, and Technologies IX; (2005) https://doi.org/10.1117/12.590765
Event: Integrated Optoelectronic Devices 2005, 2005, San Jose, California, United States

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.

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Aramais R. Zakharian, Jerome V. Moloney, Colm Dineen, and Moysey Brio "Application of the finite-difference time-domain (FDTD) method with local grid refinement to nanostructure design", Proc. SPIE 5728, Integrated Optics: Devices, Materials, and Technologies IX, (31 March 2005); https://doi.org/10.1117/12.590765

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KEYWORDS

Finite-difference time-domain method

Interfaces

Optical microcavities

Photonic crystals

Magnetism

Dispersion

Nanostructures

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