A multiresolution MoM analysis of multiport structures using matched terminations

A new integral method is developed to analyse multiconductor microstrip lines in quasi-static. The capacitance matrix of two and eight transmission lines has been successfully calculated by using our approach. The developed method is based on the generalised equivalent circuits technique and using transverse admittance operators. The obtained integral equations are solved using Galerkin's method. This approach evaluates directly the accurate determination of capacitance matrix characterised by variational form. To improve the computation efficiency and the accuracy, the unknown charges are expanded in terms of compactly-supported wavelets. Thus highly sparse matrixes are generated and a significant reduction of computational time and memory storage are obtained. Numerical results are in good agreement with those in previous publications.

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“…This threshold is adjusted to get an error of 1 percent or less in the results. A compression rate is defined as follows [20], [21]:…”

Section: Choice Of Sources and Trial Functionsmentioning

confidence: 99%

An efficient integral method for capacitance extraction of multiconductor microstrip lines

Tounsi¹,

Grayaa²,

Aguili³

2007

The International Journal of Multiphysics

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“…2005.850710 electromagnetic problems. In [3]- [5] the analysis of planar circuits on rectangular meshes is addressed, taking advantage of the separability of the current into two cartesian components; in [6] Coifman Intervallic Wavelets are applied to scattering problems from closed smooth bodies, for which the surface current can be conveniently decomposed along two locally orthogonal directions (azimuth and elevation components on spheres and spheroids). The approach presented here somewhat departs from that of the above-referenced papers, and can instead be considered closer to the "multilevel" approach pioneered by Kalbasi and Demarest in [7], where a multigrid scheme was employed (on a 2-D problem), with a hierarchical set of basis functions defined on meshes of different levels of resolution.…”

Section: Introductionmentioning

confidence: 99%

A multiresolution method of moments for triangular meshes

Vipiana

Pirinoli

Vecchi

2005

IEEE Trans. Antennas Propagat.

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This paper presents the construction, use, and properties of a multiresolution (wavelet) basis for the method of moments (MoM) analysis of metal antennas, scatterers, and microwave circuits discretized by triangular meshes. Several application examples show fast convergence of iterative solvers and accurate solutions with highly sparse MoM matrices. The proposed basis is organized in hierarchical levels, and keeps the different scales of the problem directly into the basis functions representation; the current is divided into a solenoidal and a quasi-irrotational part, which allows mapping these two vector parts onto fully scalar quantities, where the wavelets are defined. As a byproduct, this paper also presents a way to construct hierarchical sets of Rao-Wilton-Glisson (RWG) functions on a family of meshes obtained by subsequent refinement, i.e., with the RWG of coarser meshes expressed as linear combinations of those of finer meshes.

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“…scalar) problems, or to wire-type problems in which the current direction is one-dimensional: for the sake of brevity we will not attempt to list them here, since this work specifically concentrates on the issue of vector electromagnetic problems for surfaces. Due to the difficulties of extending wavelets to this latter class of problems, applications in this sense are more recent; in [1,17,10] the analysis of planar circuits on rectangular meshes is addressed, yet taking advantage of the separability of the current into two cartesian components. A wavelet-related approach has been applied to scattering from plates in [20], again employing the separability of the problem, and to triangular grids in [21] separating the current directions into local cartesian and diagonal components.…”

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confidence: 99%

A Multiresolution Approach to the Electric Field Integral Equation in Antenna Problems

Andriulli¹,

Tabacco²,

Vecchi³

2007

SIAM J. Sci. Comput.

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Abstract. This paper deals with a multiresolution approach to the finite-element solution of the Electric Field Integral Equation (EF IE) formulation of the boundary value problem for Maxwell equations. After defining a multiresolution set of discretized spaces, each of them is first separated into solenoidal and non-solenoidal complementary spaces. The possibility of obtaining these two spaces with a scalar-to-vector space mappings is used to consider first two separate scalar wavelet decompositions, and then to transform them properly into the two desired vector finite element sets, finally joined to obtain the complete multiresolution basis. Numerical results, obtained for real life antennas, are presented to verify the actual sparsity of the system matrix and to show the fast convergence behaviour of iterative solvers.

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A multiresolution MoM analysis of multiport structures using matched terminations

Cited by 14 publications

References 10 publications

An efficient integral method for capacitance extraction of multiconductor microstrip lines

An efficient integral method for capacitance extraction of multiconductor microstrip lines

A multiresolution method of moments for triangular meshes

A Multiresolution Approach to the Electric Field Integral Equation in Antenna Problems

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