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Generation of mixed triangular-rectangular meshes of arbitrary planar shapes: an algorithm for the Method of Moments

Linkowski T. A., Słobodzian P. M.

Challenges of Modern Technology

2012

Vol. 3, no. 1

3--6

A mesh generation algorithm for the Method of Moments (MoM) is presented here. Mesh of a shape is a set of cells (e.g. triangles) approximating this shape, and meshes are used, among others, in electromagnetic analysis with the MoM. For arbitrary planar shapes, this algorithm (named CGSM) generates a mesh comprised of mixed triangular and rectangular cells. The shape(s) to be meshed, described with line segments and arcs, may have any number of holes. Moreover, CGSM can provide non-uniform (denser) mesh near the edges of each shape. In the paper, a brief step-by-step description of CGSM is given, and then two structures are simulated using meshes created by CGSM and commercial software IE3D™.

Fast summation of double infinite modal series involved in analysis of shielded microstrip circuits

Słobodzian P. M.

Computational Methods in Science and Technology

2004

Vol. 10, nr 1

101-109

The paper addresses some aspects connected with computational methods involved in analysis of shielded microstrip circuits in the frame of the IB-MoM approach. The paper is focused on a method for efficient evaluation of double infinite modal series, which arise in the analysis of vertical metallizations embedded in a waveguide or cavity filled with a multilayer medium. Generally, the modal series converge very slowly, when treated in its original form, and from practical point of view it makes the lE-MoM approach inefficient. The rate of convergence of the modal series can be significantly increased by means of a transformation of the double infinite series into a fast converging single series. The transformation exploits the contour integral and the residue theorem method in conjunction with the well known Kummer's transformation. The proposed method proved to be very efficient since it enables radical savings in computational time and this feature makes the method a good candidate for practical purposes, especially for electromagnetic CAD tools.