Fractional-Calculus-Based FDTD Algorithm for Ultrawideband Electromagnetic Characterization of Arbitrary Dispersive Dielectric Materials
Fractional-Calculus-Based FDTD Algorithm for Ultrawideband Electromagnetic Characterization of Arbitrary Dispersive Dielectric Materials
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DOI：
10.1109/tap.2016.2578322
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发表时间：
2016-06
影响因子：
5.7
通讯作者：
D. Caratelli;L. Mescia;P. Bia;O. Stukach
中科院分区：
文献类型：
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作者：
D. Caratelli;L. Mescia;P. Bia;O. Stukach
提出了一种新的模拟超宽带电磁脉冲在任意多弛豫色散介质中传播的时域有限差分算法。所提出的方案是基于一个通用的，但计算效率高，一系列表示的分数阶导数算子与介电常数函数描述的频率色散特性的一个给定的电介质材料。专用的单轴完全匹配层边界条件的推导和实施结合基本的时间推进计划。此外，采用总场/散射场公式，以分析平面波激励下的材料响应。与科学文献中可用的其他数值方法相比，所提出的技术在解决涉及高阶色散的复杂电磁传播问题时具有显著增强的精度，例如在地球科学和生物工程应用中通常遇到的问题。
A novel finite-difference time-domain algorithm for modeling ultrawideband electromagnetic pulse propagation in arbitrary multirelaxed dispersive media is presented. The proposed scheme is based on a general, yet computationally efficient, series representation of the fractional derivative operators associated with the permittivity functions describing the frequency dispersion properties of a given dielectric material. Dedicated uniaxial perfectly matched layer boundary conditions are derived and implemented in combination with the basic time-marching scheme. Moreover, a total field/scattered field formulation is adopted in order to analyze the material response under plane-wave excitation. Compared with alternative numerical methodologies available in the scientific literature, the proposed technique features a significantly enhanced accuracy in the solution of complex electromagnetic propagation problems involving higher order dispersive dielectrics, such as the ones typically encountered in geoscience and bioengineering applications.