volume | PIER Journals

Abstract

A mesh generation algorithm for the Method of Moments (MoM) is described. The algorithm, named CGSM, can mesh arbitrary planar shapes described with line segments and circular arcs into mixed triangular and rectangular cells. CGSM creates contours of the meshed shape and uses them to provide edge mesh (denser mesh near edges), creates an adaptive grid and uses it to insert axis-aligned rectangles in the interior, and finally, triangulates the remaining area (the Delaunay condition is imposed on the triangulation). CGSM is compared to two commercial applications (Designer® and IE3D™) on the example of a 2-GHz hybrid ring coupler. The same simulation results are obtained. However, with CGSM, simulation time is significantly reduced.

1. Linkowski, T. A. and P. M. Slobodzian, "Automatic mesh generation for planar structures based on contours, adaptive ," EuCAP: 5th Eur. Conf. Ant.,", 1562-1566, Rome, 2011. Google Scholar

2. Linkowski, T. A. and P. M. Slobodzian, "Comparison of automatic planar mesh generation schemes facilitating edge meshing," CEM: 8th Int. Conf. Computation in Electromagnetics, 170-171, Wroclaw, Poland, 2011. Google Scholar

3. Kolundzija, B. M. and A. Djordjevic, Electromagnetic Modeling of Composite Metallic and Dielectric Structures, Artech House, Norwood, 2002.

4. Peterson, A. F., S. L. Ray, and R. Mittra, Computational Methods for Electromagnetics, IEEE Press, New York, 1998.
doi:10.1109/PROC.1967.5433

5. Harrington, R. F., "Matrix methods for field problems," IEEE Proceedings, Vol. 55, No. 2, 136-149, 1967.
doi:10.1109/TAP.1982.1142818 Google Scholar

6. Rao, S., D. Wilton, and A. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. on Ant. and Propag., Vol. 30, No. 3, 409-418, 1982.
doi:10.1109/TAP.1982.1142841 Google Scholar

7. Newman, H. and P. Tulyathan, "A surface patch model for polygonal plates," IEEE Trans. on Ant. and Propag., Vol. 30, No. 7, 588-593, 1982.
doi:10.1109/TMAG.1983.1062893 Google Scholar

8. Lindholm, D., "Automatic triangular mesh generation on surface of polyhedra," IEEE Trans. on Magn., Vol. 19, 2539-2542, 1983.
doi:10.1109/22.245681 Google Scholar

9. Sercu, J., N. Fache, F. Libbrecht, and D. de Zutter, "Full-wave space-domain analysis of open microstrip discontinuities including the singular current-edge behavior," IEEE Trans. on Microwaves Theory and Tech., Vol. 41, No. 9, 1581-1588, 1993.
doi:10.1109/20.717795 Google Scholar

10. Tsuboi, H., T. Asahara, F. Kobayashi, and T. Misaki, "Adaptive triangular mesh generation for boundary element method in 3D electrostatic problems," IEEE Trans. on Magn., Vol. 34, No. 5, 3379-3382, 1998. Google Scholar

11. Moreno, J., M. J. Algar, I. Gonzalez Diego, and F. Catedra, "A new mesh generator optimized for electromagnetic analysis," EuCAP: 5th Eur. Conf. Ant. Propag., 1734-1738, Rome, 2011. Google Scholar

12. George, P.-L. and H. Borouchaki, Delaunay Triangulation and Meshing: Application to Finite Elements, Hermes, 1998.
doi:10.1002/pse.135

13. Lo, S. H., "Finite element mesh generation and adaptive meshing," Progress Struct. Eng. Mater., Vol. 4, No. 4, 381-399, 2002. Google Scholar

14. Ruiz-Gironez, E., X. Roca, and J. Serrate, "The receding front method applied to hexahedral mesh generation of exterior domains," Engineering with Computers, published online, 1-18, 2011.
doi:10.2528/PIERB10012110 Google Scholar

15. Martini, E., G. Carli, and S. Maci, "A domain decomposition method based on a generalized scattering matrix formalism and a complex source expansion," Progress In Electromagnetics Research B, Vol. 19, 445-473, 2010. Google Scholar

16. Balanis, C. A., Antenna Theory: Analysis and Design, 3rd Ed., John Wiley & Sons, New Jersey, 2005.

17. Berg, M., O. Cheong, M. Kreveld, and M. Overmars, Computational Geometry: Algorithms and Applications, 3rd Ed., Springer, Berlin, 2008.
doi:10.1109/TMTT.2004.823541

18. Okabe, H., C. Caloz, and T. Itoh, "A compact enhanced-bandwidth hybrid ring using an artificial lumped-element left-handed transmission-line section," IEEE Trans. on Microwaves Theory and Tech., Vol. 52, No. 3, 798-804, 2004.
doi: --- Either ISSN or Journal title must be supplied. Google Scholar

Mr. Tomasz A. Linkowski

Dr. Piotr M. Slobodzian