A Three-Dimensional Transmission Line Matrix Method (TLM) In Curvilinear Coordinates

2008 3rd International Conference on Information and Communication Technologies: From Theory to Applications Pub Date : 2008-04-07 DOI:10.1109/ICTTA.2008.4530142

H. Youssef, H. Elmokdad, F. Ndagijimana, J. Jomaah

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引用次数: 2

Abstract

The transmission line matrix TLM method is a numerical time-domain technique that has been widely used for solving a great variety of electromagnetic wave propagation problems. The space to be modeled is divided into discrete meshes. A good description of arbitrary geometry and boundaries remains a significant challenge in electromagnetic modeling concerning the computer resources and simulation time. A Cartesian mesh can be used in TLM to describe a regular boundary. Curved walls are represented by piecewise straight boundaries which induce spurious modes that are not acceptable in some problems. For the study of the propagation of electromagnetic waves in volumes having curvilinear boundaries, we propose and investigate new curvilinear discrete mesh. A TLM algorithm is developed directly from integral Maxwell's equations. The formulation and the scattering matrices for curvilinear node are presented. The accuracy of a particular curvilinear node (cylindrical node) will be proved.

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曲线坐标下的三维传输线矩阵法

传输线矩阵TLM方法是一种时域数值技术，已广泛应用于求解各种电磁波传播问题。将待建模的空间划分为离散网格。由于计算机资源和仿真时间的限制，如何很好地描述任意几何和边界仍然是电磁建模中的一个重大挑战。在TLM中，笛卡尔网格可以用来描述规则边界。弯曲的壁面用分段的直线边界表示，这会导致在某些问题中不能接受的伪模态。为了研究电磁波在具有曲线边界的体中的传播，我们提出并研究了新的曲线离散网格。从麦克斯韦方程组的积分出发，提出了一种TLM算法。给出了曲线节点散射矩阵的表达式和散射矩阵。将证明特定曲线节点(圆柱节点)的准确性。

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2008 3rd International Conference on Information and Communication Technologies: From Theory to Applications

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