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An efficient hybrid method of SJMCFIE combined single integral equation with the electric/magnetic current combined field integral equation is used for analysing scattering from composite conductor and multiple dielectric objects, in which, SIE can reduce one half unknowns in dielectric regions. SJMCFIE can greatly reduce the storage requirement. Moreover, Multilevel Fast Multipole Algorithm is employed...
This paper presents in a unified way a set of hybrid methods, named FEM-BCI (Finite Element Method — Boundary Condition Iteration), already devised by the authors for the solution of electromagnetic problems, ranging from static and quasi static to dynamic ones, both for scalar and vector unknowns.
System of integral equations for the electric scalar potential (integral equations Rabin's type), for the observed electrostatic model composed of linear conductors, can be formed. Since this equation cannot be solved correct analytically, a very simple and convenient accurate point matching method, with a polynomial approximation of functions of longitudinal charge density of conductors, has been...
We present a new method to solve the Electric field scattered by a perfect electric conductor that is stable in low frequency and multiply connected geometries. The method is closely related to a previous method published by the authors and named Decoupled Potential Integral Equation, but it only requires the incoming electric field instead of the vector and scalar incoming potentials. The method...
Electromagnetic scattering from axisymmetric conducting bodies partially coated by thin materials is computed numerically. The formulation of the problem is based on an existing formula for a completely coated object. This formulation is valid as the coating thickness approaches zero. Other existing implementations fail to obtain correct results in this case. Numerous examples are considered. The...
In [1], a new method has been developed to minimize the cost and memory requirements of the integral equation method (IEM) for the capacitance calculation of multiconductor system embedded in a homogeneous dielectric medium. In this paper, the method has been extended to the calculation of the capacitance matrix for integrated circuits applications.
Many attempts have been done to reduce the memory storage and computational time required by the integral equation method. Wu and Wu [1] employed the structure symmetry and periodicity to reduce the number of unknowns in the problem. Nabors and White [2] presented a general 3-D capacitance calculation program called FASTCAP. Although the computational time have been reduced significantly, the storage...
In this paper the hybrid FEM-GDBCI (Finite Element Method — Galerkin Dirichlet Boundary Condition Iteration) method is described for the finite element solution of a variety of low-frequency electromagnetic field problems in open boundary domains. The method assumes a Dirichlet boundary condition on the truncation boundary and its imposition is made by means of a Galerkin integral equation over the...
New single-source integral equation (SSIE) of computational electromagnetics has been recently proposed. Unlike the previously known SSIEs which are derived from traditional surface integral equations (IE) through elimination of either electric or magnetic equivalent current, the new SSIE is obtained from the volume IE stated for homogeneous objects. Thus far, the novel electric field SSIE has been...
Recent attention has been devoted to the development of nonconforming implementations of the Electric-Field Integral Equation (EFIE), which impose no continuity constraints in the expansion of the current between adjacent facets. These schemes, based on the facet-oriented monopolar-RWG set, become more versatile than the traditional edge-oriented schemes, based on the RWG set, because they simplify...
In this paper, we summarize the formulation of the augmented electric field integral equation to solve perfect electric conductor and dielectric problems. By studying the numerical integrations of the lossy Green's function, we extend this formulation for dielectrics to conductors precisely. We develop a novel angular integral method to evaluate the numerical integrals. This method turns out to be...
Electromagnetic problems with both conducting and dielectric media are formulated through volume-surface integral equations (VSIEs) in integral equation approach. The conducting part is described by surface integral equation while the dielectric part is governed by volume integral equations (VIEs) and they are coupled together by produced fields. The VSIEs are usually solved by the method of moments...
Solving electromagnetic (EM) scattering with very thin conducting objects by integral equation approach have to deal with some unfavorable problems, such as a large dynamic change of current density in the neighborhood of their edges and many low-quality meshes on the side faces of objects in geometric discretization, which makes the accurate evaluation of singular integrals in matrix elements significant...
Boundary integral equations (BIE) are proposed for distributed parameter extraction of lossy conductor with arbitrary cross section in 2-D. By utilizing the equivalent principle, the electric field on the boundary is correlated with surface electric current through contour integration. Furthermore, the adaptive cross approximation (ACA) is adopted to accelerate the solution procedure. Both the per-unit-length...
When dealing with time-harmonic electromagnetic (EM) scattering problems of perfect electric conductors (PEC), the boundary integral method (BIM) is one of the standard ways to solve the Maxwell's equations as it reduces the dimension of the problem by one. The standard boundary integral method to solve EM scattering by PEC relies on finding the induced surface current densities [1]. The electric...
A numerical full wave solver is proposed to solve conductor problems in electromagnetics. This method is an extension of the dielectric augmented electric field integral equation (D-AEFIE). Using this method, conductors, from lowly lossy to highly lossy, can be rigorously modeled to capture the conductive losses. Broadband stability can be achieved, thanks to the introduction of the augmentation technique...
Accurate electromagnetic (EM) modeling for lossy conductors requires to consider their finite conductivity and the conducting loss is usually accounted for by an approximate surface impedance when the skin depth of current is small. However, such an approximation may not be valid for large skin depth caused by low frequencies or small conductivities. We propose a different approach to model the lossy...
A rigorous method to solve conductor problems using the surface integral equation is introduced. This formulation is based on the augmented electric field integral equation. In order to model conductors and accurately capture the losses, some integration techniques are analyzed and compared. The line integral method will be an optimal option for conductor problems. After incorporating this technique,...
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