کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8902091 1631955 2018 35 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
High-order accurate FDTD schemes for dispersive Maxwell's equations in second-order form using recursive convolutions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
High-order accurate FDTD schemes for dispersive Maxwell's equations in second-order form using recursive convolutions
چکیده انگلیسی
We propose a novel finite-difference time-domain (FDTD) scheme for the solution of Maxwell's equations in which linear dispersive effects are present. The method uses high-order accurate approximations in space and time for the dispersive Maxwell's equations written as a second-order vector wave equation with a time-history convolution term. The modified equation approach is combined with the recursive convolution (RC) method to develop high-order approximations accurate to any desired order in space and time. High-order-accurate centered approximations of the physical Maxwell interface conditions are derived for the dispersive setting in order to fully restore accuracy at discontinuous material interfaces. Second- and fourth-order accurate versions of the scheme are presented and implemented in two spatial dimensions for the case of the Drude linear dispersion model. The stability of these schemes is analyzed. Finally, our approach is also amenable to curvilinear numerical grids if used with an appropriate generalized Laplace operator.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 336, July 2018, Pages 192-218
نویسندگان
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