Electromagnetic field representations and computations in complex structures II: alternative Green's functions
Electromagnetic field representations and computations in complex structures II: alternative Green's functions
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复杂结构中的电磁场表示和计算 II：替代格林函数
DOI：
10.1002/jnm.434
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
P. Russer
中科院分区：
文献类型：
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作者：
L. Felsen;M. Mongiardo;P. Russer
在这篇关于三部分序列的第二篇论文中，我们处理了第一部分[1]复杂性架构中子域（SD）问题的替代绿色函数（GF）表示。系统分析建模的相关GF是那些至少部分与矢量和坐标可分边界条件相关的GF。当与真实的问题“匹配”时，这种“规范”GF可以形成背景核，其简化了真实的问题精确积分方程的数值复杂性。分析机器涉及Sturm-Liouville（SL）理论，用于简化的一维（1D）谱GF问题，该问题由各种坐标中的变量分离产生，以复谱波数域中的最一般形式设置。二维和三维坐标可分全GF的复谱波数平面中的谱合成为直接构造（通过轮廓变形、分支点和极点残差评估）替代场表示及其相应的不同波物理现象奠定了基础。说明性的例子显示了规范GF和它们的网络表示之间的连接。版权所有© 2002年约翰威利父子有限公司。
In this second paper of the three‐part sequence, we deal with alternative Green's function (GF) representations for the subdomain (SD) problem in the complexity architecture of Part I [1]. The relevant GFs for systematic analytic modelling are those associated with at least partially vector and co‐ordinate separable boundary conditions. Such ‘canonical’ GFs, when ‘matched’ to a real problem, can form background kernels which simplify the numerical complexity of real‐problem exact integral equations. The analytic machinery involves Sturm–Liouville (SL) theory for the reduced one‐dimensional (1D) spectral GF problems resulting from separation of variables in various co‐ordinates, set in its most general form in the complex spectral wavenumber domain. Spectral synthesis in the complex spectral wavenumber planes for 2D and 3D co‐ordinate‐separable full GFs lays the foundation for direct construction (via contour deformations, branch point, and pole residue evaluations) of alternative field representations, and their correspondingly different wave‐physical phenomenologies. Illustrative examples show the connection between the canonical GFs and their network representations. Copyright © 2002 John Wiley & Sons, Ltd.
DOI：
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发表时间：
2017
期刊：
影响因子：
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作者：
T. Kojima;J. Ishida;S. Miyagi;and O. Sakai
通讯作者：
and O. Sakai