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Efficient Effective Permittivity Treatment for the 2D-FDTD Simulation of Photonic Crystals

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Abstract:

In this paper, we present an efficient effective permittivity treatment for the two-dimensional Finite-Difference Time-Domain (2D-FDTD) method that can be applied to dielectric interfaces. Various issues related to simulation arrangements are discussed based on the 60° photonic crystal (PhC) waveguide bend as a test case. The transmission, obtained numerically, agrees very well with other two-dimensional simulation methods, namely the finite-element method (2D-FEM) and the 2D multiple multipole program (2D-MMP). Compared to other FDTD schemes, such as staircasing and the volume averaging method, our model performs faster and provides more accurate results for the dielectric interface.

Keywords: FDTD METHOD; PHOTONIC CRYSTAL; PHOTONIC CRYSTAL WAVEGUIDE

Document Type: Research Article

DOI: https://doi.org/10.1166/jctn.2007.029

Publication date: 2007-05-01

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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