An improved two-dimensional (2,4) finite-difference time-domain method for Lorentz dispersive media

IF 1.6 4区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

International Journal of Numerical Modelling-Electronic Networks Devices and Fields Pub Date : 2024-05-08 DOI:10.1002/jnm.3244

Theodoros T. Zygiridis, Stamatios A. Amanatiadis, Nikolaos V. Kantartzis

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引用次数: 0

Abstract

The credible solution of discretized Maxwell's equations in spaces occupied by Lorentz dispersive media is the main subject of this work. Specifically, we introduce a finite-difference time-domain (FDTD) algorithm with a typical (2,4) structure that features dispersion-relation-preserving characteristics and produces reduced numerical errors in two-dimensional electromagnetic simulations, compared to the standard approach with similar computational requirements. We consider the case of dispersive media with non-vanishing absorption coefficients and investigate different options for the suitable modification of the spatial approximations, so that the accomplished accuracy is optimized for a given computational overhead. The properties of the proposed FDTD technique are thoroughly examined, both theoretically and in numerical tests, and the performance upgrade compared with the conventional solution is assessed.

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洛伦兹色散介质的改进型二维 (2,4) 有限差分时域法

洛伦兹色散介质空间中离散麦克斯韦方程的可信解法是本研究的主要课题。具体而言，我们介绍了一种具有典型 (2,4) 结构的有限差分时域 (FDTD) 算法，该算法具有色散相关保留特性，与计算要求类似的标准方法相比，可减少二维电磁模拟中的数值误差。我们考虑了具有非消失吸收系数的色散介质的情况，并研究了适当修改空间近似值的不同方案，从而在给定计算开销的情况下优化了完成精度。在理论和数值测试中，对所提出的 FDTD 技术的特性进行了深入研究，并评估了与传统解决方案相比的性能提升情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Numerical Modelling-Electronic Networks Devices and Fields 工程技术-工程：电子与电气

CiteScore

4.60

自引率

6.20%

发文量

101

审稿时长

>12 weeks

期刊介绍： Prediction through modelling forms the basis of engineering design. The computational power at the fingertips of the professional engineer is increasing enormously and techniques for computer simulation are changing rapidly. Engineers need models which relate to their design area and which are adaptable to new design concepts. They also need efficient and friendly ways of presenting, viewing and transmitting the data associated with their models. The International Journal of Numerical Modelling: Electronic Networks, Devices and Fields provides a communication vehicle for numerical modelling methods and data preparation methods associated with electrical and electronic circuits and fields. It concentrates on numerical modelling rather than abstract numerical mathematics. Contributions on numerical modelling will cover the entire subject of electrical and electronic engineering. They will range from electrical distribution networks to integrated circuits on VLSI design, and from static electric and magnetic fields through microwaves to optical design. They will also include the use of electrical networks as a modelling medium.