瞬态波传播问题解析解与数值解的比较分析

Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory Pub Date : 2006-10-01 DOI:10.1109/DIPED.2006.314285

V.N. Dumin, O. Dumina, V. Katrich

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引用次数: 5

摘要

通过构造具有任意时间依赖性的电磁场模态基，将非平稳三维辐射问题转化为一维演化方程问题。用球面模态表示无限空间中径向非均匀无损耗瞬态介质的瞬变电磁场。从描述球面模态独立传播的演化方程出发，求出了瞬变电磁场在模态基上的展开系数。对于任意介质，可以采用一维时域有限差分法直接求出瞬变电磁场，对于均匀平稳介质，可以采用拉普拉斯变换和分波法求出瞬变电磁场。并将上述方法与三维时域有限差分法在瞬态电流激励小回路的情况下进行了比较

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Comparative Analysis of the Analytical and Numerical Solutions of Transient Wave Propagation Problem

The nonstationary three-dimensional radiation problem is transformed into the problem for one-dimensional evolutionary equations by means of the construction of modal basis for electromagnetic field with arbitrary time dependence. Transient electromagnetic fields in infinite space filled with inhomogeneous in radial direction transient medium without losses are presented by spherical modes. The expansion coefficients of transient electromagnetic field on the modal basis are found from the set of evolutionary equations which describe independent propagation of the spherical modes. The transient electromagnetic field can be found without Fourier transform application directly by means of one-dimensional FDTD method for arbitrary medium or using Laplace transform and wave splitting for the case of homogeneous stationary medium. The above mentioned methods are compared with the three-dimensional FDTD method for the case of excitation of small loop by transient current

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Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory

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