One-Step Leapfrog 3D Split-Field FDTD Method for Periodic Structures at Oblique Incidence

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 : 2024-11-14 DOI:10.1002/jnm.3315

Lingpu Zhang, Juan Chen, Chunhui Mou, Ao Peng

引用次数: 0

Abstract

This article introduces a one-step leapfrog three-dimensional (3D) split-field finite-difference time-domain (SF-FDTD) method designed for analyzing periodic structures under oblique incidence, aiming to improve computational efficiency. Initially, it introduces new variables to substitute the field components postsplitting. After that, it applies time-centered approximate difference method to precisely adjust the time step for each iteration. It eliminates the need for empirical coefficients when performing calculations with lossy materials. Finally, it derives the implementation of the convolutional perfectly matched layer (CPML) for the proposed method. The proposed method is both easier to implement and more resource-efficient, significantly cutting down CPU usage and memory consumption. Numerical results confirm its improved efficiency.

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斜入射周期性结构的一步跃迁三维分场 FDTD 方法

本文介绍了一种用于分析斜入射下周期性结构的一步跃迁三维（3D）分裂场有限差分时域（SF-FDTD）方法，旨在提高计算效率。首先，它引入了新变量来替代分场后的场分量。然后，它采用时间中心近似差分法精确调整每次迭代的时间步长。在对有损材料进行计算时，它不再需要经验系数。最后，它为所提出的方法推导出了卷积完全匹配层（CPML）的实现方法。所提出的方法不仅更易于实现，而且更节省资源，大大减少了 CPU 的使用和内存的消耗。数值结果证实了其效率的提高。

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.