基于fdtd的一维时变等离子体中电磁波传播特性研究.doc

基于FDTD的一维时变等离子体中电磁波传播特性研究

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摘 要
等离子体是自然界中广泛存在的一种特殊的复杂色散介质，具有众多独特的性质和重要的利用价值。关于非时变等离子体的研究已经取得了大量的研究成果，且广泛应用于多个领域。本文基于FDTD方法研究了一维磁化等离子体和非磁化等离子体的电磁波传播特性，得到相关结论。
研究了适用于计算一维磁化时变等离子体和一维非磁化时变等离子体问题的时域有限差分（FDTD）方法，通过选取一维谐振腔模型和参数，将时变等离子体中瞬变的情形理论分析结果与FDTD数值仿真结果相比较，验证了所用FDTD方法的正确性。研究了推导出截断瞬变等离子体的修正的近似完全匹配层（M-NPML）吸收边界的时域有限差分方法（FDTD）迭代式。通过选取半空间等离子体模型和参数，将该FDTD数值解与解析解进行对比，验证了所用FDTD方法的正确性。在此基础上,在频域中分析了一维瞬变等离子体板的电磁波散射特性，发现了瞬变等离子体板反射波的频率漂移规律。

关键词：时域有限差分方法；瞬变等离子体；频率漂移；近似完全匹配层


Research of transmission characteristics for 1 D
time-varying plasma by FDTD method
ABSTRACT
Plasma is a kind of special complex dispersion medium and widely existed in nature. It has many unique features and very important use value. The research of time-invariant plasma has a lot of achievements and widely used in various fields. In this paper, characteristics of electromagnetic wave in the magnetized time-varying plasma and un-magnetized time-varying plasma are researched based on finite difference time domain (FDTD) method, some important conclusions are obtained.
The one-dimensional finite difference time domain method for magnetized time-varying plasma and un-magnetized time-varying plasma are researched. This FDTD algorithm has been verified by using one dimensional cavity model and parameters through comparing the FDTD numerical solution and the time-varying of transient plasma theory analysis results. The Modified Nearly Perfectly Matched Layer (M-NPML) method to truncate the transient plasma is presented by using Finite Difference Time Domain (FDTD) method. This FDTD algorithm has been verified by using a half-space plasma model through comparing the FDTD numerical solution and theoretical solution. On the basis of the work we have done, the scattering characteristics of electromagnetic wave by a sudden-created plasma slab in the frequency domain are analyzed. The frequency drift phenomena for the reflected wave of a sudden-created plasma slab and other useful conclusions are obtained.

Keyword: finite difference time domain method;transient plasma ;frequency drift;
approximate perfectly matched layer;

目 录
第一章 绪论 1
1.1选题背景及研究意义 1
1.2国内外研究概况及其进展 4
1.3本文的主要工作及结构安排 6
1.4 本章小结 6
第二章 一维时变等离子体的FDTD算法 7
2.1一维时变磁化等离子体的FDTD算法 7
2.2一维时变非磁化等离子体的FDTD算法 13
第三章 一维瞬变等离子体的算法验证与数值分析 16
3.1 一维瞬变等离子体电磁特性解析解的推导 16
3.2 FDTD算法验证与数值分析 28
3.3 本章小结 33
第四章 一维瞬变等离子体的电磁波散射特性研究 34
4.1截断瞬变等离子体修正的一维M-NPML吸收边界条件 34
4.2吸收边界条件算法正确性的验证 35
4.3基于FDTD的一维瞬变等离子体电磁散射特性研究 36
4.3.1 瞬变非磁化无损耗等离子体板情形下的频谱分析 36
4.3.2 瞬变磁化无损耗等离子体板情形下的频谱分析 37
4.4本章小结 40
第五章 总结和展望 41
附录A 42
主要参考文献 45
致谢 50