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A hierarchical approach to discretize the time domain electric field integral equation (TD-EFIE) is presented. The resulting solver is immune to time domain low-frequency breakdown and gives rise to better conditioned linear systems than TD-EFIE solvers using Rao-Wilton-Glisson (RWG) and loop-star basis functions. The proposed technique extends the work in on hierarchical TD-EFIE regularizers for...
In this work a new multi-resolution (MR) basis is presented for the analysis of PEC structures large in terms of wavelength lambda, via the method of moments (MoM) applied to the Electric Field Integral Equation (EFIE). The conductor is discretized with triangular cells and the proposed basis is a linear combination of the standard Rao-Wilton-Glisson (RWG) functions defined on the mesh.
In the electric field integral equation (EFIE) solved by the method of moments (MoM), it is well known that to avoid the ldquolow frequency breakdownrdquo the unknown current must be separated into a solenoidal part and a non-solenoidal remainder. In our previous works, we have posed more attention in generating an efficient Multi-Resolution (MR) basis for the non-solenoidal part of the current, keeping...
The application of the method of moment (MoM) to predict the behavior of periodic arrays and scattering from periodic surfaces printed in stratified dielectrics, often leads to large, dense, and poorly-conditioned matrices. On the other hand, the infinite-size approximation fails in predicting the behavior of the elements near the edges of the array. In order to overcome the intrinsic difficulties...
A hierarchically-regularized coupled set of time-domain surface and volume electric field integral-equations (TD-SEFIE and TD-VEFIE) for analyzing low-frequency electromagnetic phenomena in microelectronic devices comprising conducting surfaces and (finite) dielectric volumes, is presented. The TD-SEFIE and TD-VEFIE, which enforce fundamental boundary and field consistency conditions on conducting...
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