Efficient effective permittivity treatment for the two-dimensional finite difference time-domain simulation of photonic crystals
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.
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