二维电磁波在色散波导中传播的时域pml收敛性分析

IF 1.9 3区 数学 Q2 Mathematics
É. Bécache, M. Kachanovska, M. Wess
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引用次数: 0

摘要

本文研究了二维电磁波在色散波导中传播的广义完美匹配层(pml)。在相当一般的频率相关介电常数和磁导率假设下,我们证明了均匀波导的收敛估计,并表明PML误差相对于吸收参数和吸收层长度呈指数减小。对该误差估计的最优性进行了数值和解析研究。最后,我们证明,当波导中含有远离吸收层的非均匀性时,即使在非色散介质的情况下,也可能发生不稳定。数值实验证明了我们的发现。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Convergence analysis of time-domain PMLs for 2D electromagnetic wave propagation in dispersive waveguides
This work is dedicated to the analysis of generalized perfectly matched layers (PMLs) for 2D electromagnetic wave propagation in dispersive waveguides. Under quite general assumptions on frequency-dependent dielectric permittivity and magnetic permeability we prove convergence estimates in homogeneous waveguides and show that the PML error decreases exponentially with respect to the absorption parameter and the length of the absorbing layer. The optimality of this error estimate is studied both numerically and analytically. Finally, we demonstrate that in the case when the waveguide contains a heterogeneity supported away from the absorbing layer, instabilities may occur, even in the case of the non-dispersive media. Our findings are illustrated by numerical experiments.
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来源期刊
CiteScore
2.70
自引率
5.30%
发文量
27
审稿时长
6-12 weeks
期刊介绍: M2AN publishes original research papers of high scientific quality in two areas: Mathematical Modelling, and Numerical Analysis. Mathematical Modelling comprises the development and study of a mathematical formulation of a problem. Numerical Analysis comprises the formulation and study of a numerical approximation or solution approach to a mathematically formulated problem. Papers should be of interest to researchers and practitioners that value both rigorous theoretical analysis and solid evidence of computational relevance.
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